Fast Rotating Neutron Stars: Spectra, Stability and Universal Relations

March 27 (Wed) at 11:00 - 12:30, 2024

Christian Krueger (Postdoctoral Researcher, University of Tuebingen, Germany)

In this talk, we study rapidly rotating relativistic stars which are present in various astrophysical systems. First, we study their oscillations and instabilities by taking into account the contribution of a dynamic space-time. The study is based on the linearised version of Einstein’s equations and via this approach the oscillation frequencies as well as the critical values for the onset of a secular instability are determined. We show asteroseismological relations for the fundamental eigenfrequency which are crucial for tackling the inverse problem. Further, we provide universal relations that allow to estimate the moment of inertia (and other bulk quantities) from the knowledge of the triple mass, radius and moment of inertia of an associated non-rotating star. The proposed universal relations facilitate computationally cheap EOS inference codes that permit the inclusion of observations of rotating neutron stars. As a demonstration, we deploy them into a recent Bayesian framework for equation of state parameter estimation that is now valid for arbitrary, uniform rotation. The results are important for all stages of a neutron star’s life but particularly interesting in pre- and post-merger cases. This seminar is held by GW-EOS WG in iTHEMS.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

Arrhythmic activity rhythms in ants

March 26 (Tue) at 16:00 - 17:00, 2024

Haruna Fujioka (Assistant Professor, Faculty of Environmental, Life, Natural Science and Technology, Okayama University)

Most organisms exhibit a periodic activity of about 24 h. This circadian rhythm is considered to be an adaptation to the fluctuations of the environment. In social insects such as honeybees and ants, individual behavior, including activity-rest rhythms, is influenced by interactions within the colony. However, it is challenging to monitor individual activity-rest rhythms in an ant colony due to their large group size and small body size. To address this, we developed an image-based tracking system using 2D barcodes a monomorphic ant and measured the locomotor activities of all colony members under laboratory conditions. Activity-rest rhythms appeared only in isolated ants, not under colony conditions. This suggests that a mixture of social interactions, not light and temperature, induces the loss of activity-rest rhythms. These findings contribute to our understanding of the diverse patterns of circadian activity rhythms in social insects.

Venue: via Zoom

Event Official Language: English

Multimessenger probes of superheavy dark matter decay and annihilation

March 26 (Tue) at 10:18 - 11:00, 2024

Saikat Das (Postdoctoral Fellows, Yukawa Institute for Theoretical Physics, Kyoto University)

We revisit constraints on decaying very heavy dark matter (VHDM) using the latest ultrahigh-energy cosmic-ray (UHECR; E >1e18 eV) data and ultrahigh-energy (UHE) gamma-ray flux upper limits, measured by the Pierre Auger Observatory. We present updated limits on the VHDM lifetime for masses up to ∼ 1e15 GeV, considering decay into quarks, leptons, and massive bosons. In particular, we consider not only the UHECR spectrum but their composition data that favors heavier nuclei. Such a combined analysis improves the limits at <1e12 GeV because VHDM decay does not produce UHECR nuclei. We also show that the constraints from the UHE gamma-ray upper limits are ∼ 10 times more stringent than that obtained from cosmic rays, for all of the Standard Model final states we consider. The latter improves our limits to VHDM lifetime by a factor of two for dark matter mass >1e12 GeV. We also provide constraints using neutrino flux from dark matter decay, including the neutrino-induced cascades. We consider the interaction of UHE neutrinos with the cosmic neutrino background, leading to the attenuation of the extragalactic flux reaching Earth, which improves our analysis to obtain tighter constraints.

Venue: via Zoom

Event Official Language: English

The evolution of unusual inheritance and chromosome behaviour in flies and other critters

March 14 (Thu) at 16:00 - 17:00, 2024

Laura Ross (Senior Lecturer, Institute of Evolutionary Biology, University of Edinburgh, UK)

Under Mendelian inheritance, individuals receive one set of chromosomes from each of their parents, and transmit one set of these chromosomes at random to their offspring. Yet, in thousands of animals Mendel's laws are broken and the transmission of maternal and paternal alleles becomes unequal. Why such non-Mendelian reproductive systems have evolved repeatedly across the tree of life remains unclear. My lab studies a variety of arthropod species to understand why, when and how the transmission of genes from one generation to the next deviate from Mendel’s laws. We mainly focus on species with Paternal Genome Elimination: Males transmit only those chromosomes they inherited from their mother to their offspring, while paternal chromosomes are excluded from sperm through meiotic drive. I will present recent work aimed at understanding the evolution of this unusual reproductive strategy in a clade of flies. These flies arguably have one of the most bizarre and complex chromosome systems of any insect and we use this complexity to study a range of topics including the evolution of sex chromosomes, germline-restricted chromosomes and sexual conflict.

Venue: Seminar Room #359 / via Zoom

Event Official Language: English

New horizons in immersive visualization at iTHEMS

March 14 (Thu) at 14:00 - 16:00, 2024

Gilles Ferrand (Adjunct Professor, Department of Physics and Astronomy, University of Manitoba, Canada)

Visualization is an essential part of research, both to explore one’s data and to communicate one’s findings with others. Data that are 3-dimensional can be explored in a more natural way using virtual reality devices. iTHEMS recently purchased new VR headsets with advanced capabilities (Meta Quest Pro). The meeting will start with a general introduction to the current state of the VR space. Then, participants may individually experience a demonstration with the new headsets (showing research done at the ABBL on supernovae and their remnants). There will be ample time for questions and discussions. Come and discover how such tools can be used to enhance our research.

Venue: 3rd floor public space, Main Research Building

Event Official Language: English

Brane field theory with higher-form symmetry

March 12 (Tue) at 14:00 - 15:30, 2024

Kiyoharu Kawana (Research Fellow, Korea Institute for Advanced Study (KIAS), Republic of Korea)

We propose field theory for branes with higher-form symmetry as a generalization of ordinary Landau theory. The field \psi[C_p^{}] becomes a functional of p-dimensional closed brane Cp embedded in a spacetime. As a natural generalization of ordinary field theory, we call this theory brane field theory. In order to construct an action that is invariant under higher-form transformation, we first generalize the concept of “derivative” for higher-dimensional objects. Then, we discuss various fundamental properties of the brane field based on the higher-form invariant action. It is shown that the classical solution exhibits the area law in the unbroken phase of U(1) p-form symmetry, while it indicates a constant behavior in the broken phase for the large volume limit of Cp. In the latter case, the low-energy effective theory is described by the p-form Maxwell theory. If time permits, we also discuss brane-field theories with a discrete higher-form symmetry and show that the low-energy effective theory becomes a BF-type topological field theory, resulting in topological order.

Venue: Hybrid Format (3F #359 and Zoom), Main Research Building

Event Official Language: English

Condensed Matter Physics of QCD 2024

March 11 (Mon) - 22 (Fri), 2024

Gordon Baym (Professor Emeritus, University of Illinois, USA)
Muneto Nitta (Professor, Keio University)
Mark Alford (Professor, Washington University in St. Louis, USA)
Sanjay Reddy (Professor, University of Washington, USA)
Dam Thanh Son (Professor, The University of Chicago, USA)
Mikhail Stephanov (Professor, The University of Illinois at Chicago (UIC), USA)
Kenji Fukushima (Professor, Department of Physics, Graduate School of Science, The University of Tokyo)
Naoki Yamamoto (Associate Professor, Keio University)
Koutarou Kyutoku (Associate Professor, Graduate School of Science, Kyoto University)
Yui Hayashi (Postdoctoral researcher, Yukawa Institute for Theoretical Physics, Kyoto University)
Kentaro Nishimura (Postdoctoral researcher, Hiroshima University)
Toru Kojo (Associate professor, Tohoku University)
Masakiyo Kitazawa (Lecturer, Yukawa Institute for Theoretical Physics, Kyoto University)

QCD at finite temperature and density is one of the most challenging problems in modern physics, which plays a crucial role to understand the origin and coevolution of the universe and matter. On the one hand, the relativistic heavy-ion collision experiments in the past decades have opened a new and exciting field to explore physical properties of such a QCD matter at high-tempearture. On the other hand, recent astrophysical observations of compact stars (in particular, events involving neutron stars) is becoming another exciting tool to unveil properties of the dense QCD matter. This molecule-type workshop is aimed at bringing together theorists working on QCD at finite-temperature and density, with a particular focus on dense quark-nuclear matter relevant to neutron star physics. We will mainly cover macroscopic properties of the finite-density QCD matter such as the Lee-Yang edge singularity for a QCD critical point, the renewed Fermi liquid theory for quark-nuclear matter, nuclear superfluidity, color superconductivity, quark-hadron continuity, quantum vortex, and transport phenomena including the weak-intearction processes.

Venue: via Zoom / Yukawa Institute for Theoretical Physics, Kyoto University

Event Official Language: English

Macroscopic neutrinoless double beta decay: long range quantum coherence

March 6 (Wed) at 15:30 - 17:30, 2024

Gordon Baym (Professor Emeritus, University of Illinois, USA)

This talk will introduce the concept of ``macroscopic neutrinoless double beta decay" (MDBD) for Majorana neutrinos. In this process an antineutrino produced by a nucleus undergoing beta decay, $X\to Y + e^- + \bar \nu_e$, is absorbed as a neutrino by another identical $X$ nucleus via the inverse beta decay reaction, $\nu_e + X \to e^-+Y$. The distinct signature of MDBD is that the total kinetic energy of the two electrons equals twice the end-point energy of single beta decay. The amplitude for MDBD, a coherent sum over the contribution of different mass states of the intermediate neutrinos, reflects quantum coherence over macroscopic distances, and is a new macroscopic quantum effect. We discuss the similarities and differences between the MDBD and conventional neutrinoless double beta decay, as well as give estimates of the rates of MDBD and backgrounds.

Venue: Hybrid Format (3F #359 and Zoom), Main Research Building (Main Venue) / via Zoom

Event Official Language: English

Do plants have bones? Silica phytoliths and their role and fate in the development of terrestrial plants and human civilizations

March 1 (Fri) at 14:00 - 15:15, 2024

Mikhail Blinnikov (Professor, St. Cloud State University, USA)

Silicon is the second most common element in the Earth’s crust. Some families of higher plants evolved mechanisms for soluble silica to be carried by xylem from groundwater and deposited as plant opal in or around plant cells as phytoliths thought to play a role in the structural support and defense against herbivores. While known since the early 19th century, phytoliths remain an intriguing class of microfossils whose formation and role in plants and their preservation in soils and sediments are a subject for a lot of active research. I outline some emerging themes in phytolith analysis including phytoliths’ role in global biogeochemical cycles, plant-herbivore interactions, and their tracing of evolution of cultural plants, especially cereals such as rice (Oryza), wild rice (Zizania), maize (Zea), wheat (Triticum) and millet (Panicum), all relevant to global archaeology. Some emerging research on phytoliths connects their changes in shapes to plant taxonomy of some families such as grasses and opens up avenues for further investigation of their active construction in the cells of some taxa by yet undiscovered genetically mediated mechanisms. New image analysis techniques and some advanced microscopy methods will allow us to further the field of phytolith study using deep machine learning algorithms and true 3D analysis of their shapes, something where contribution from other branches of science are most welcome.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

RIKEN-Nara Women's University Joint Diversity Promotion Workshop 2024

February 29 (Thu) - March 1 (Fri), 2024

The RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) and the Faculty of Science at Nara Women's University are promoting a project to foster female researchers under the auspices of the RIKEN Diversity Promotion Office. As part of the program, 23 undergraduate and graduate students from Nara Women's University will visit several laboratories on the RIKEN Wako campus to ask questions about their research and hold workshops/presentations with iTHEMS researchers. Organizers: RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program Faculty of Science, Nara Women's University Program: Thursday, February 29 13:30-14:00 Opening remarks by Tetsuo Hatsuda (C01, Main Research Bldg. room 246-248) 14:00-15:30 Atomic, Molecular & Optical Physics Laboratory (CPR) (C32, Laser Bldg. 2F) 15:30-17:00 Neural Circuit of Multisensory Integration RIKEN Hakubi Research Team (CBS) (C56, Brain Science Ikenohata Bldg. 3F）　 17:00-18:30 RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) (C01, Main Research Bldg. 3F) 18:30-21:00 Presentations by Nara Women's University Students (C01, Main Research Bldg. 3F) Friday, March 1 9:00-10:30 Nishina Center RIBF Facility (RNC) (E01, Nishina RIBF Bldg.) 10:30-12:00 Cellular Informatics Laboratory (CPR) (S01, Biology Science Bldg.3F) 12:00-13:00 Lunch (C61, Welfare and Conference Bldg.) 13:00 Closing

Venue: via Zoom

Stochastic tunneling in de Sitter spacetime

February 28 (Wed) at 16:00 - 17:30, 2024

Taiga Miyachi (Ph.D. Student, Institute of Cosmophysics, Department of Physics, Graduate School of Science, Kobe University)

The formulation of tunneling in real time formalism is discussed. In the case of de Sitter spacetime, there is a method called the stochastic approach, which is known to reproduce the tunneling predicted by Hawking and Moss in the imaginary time formalism. In the case of accelerated expansion of space, the short-wavelength modes are stretched and transformed into long-wavelength modes. In the stochastic approach, such UV-IR transition is incorporated as quantum noise, and the dynamics of the long-wavelength modes are described by stochastic differential equations. In this talk, we construct a Schwinger-Keldysh path integral that reproduces this stochastic differential equation and reformulate the tunneling probability. We also reproduce the Hawking-Moss tunneling probabilities by using the saddle point approximation.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

Basic experimental considerations for analyzing gene expression

February 28 (Wed) at 13:00 - 14:00, 2024

Hirotaka Toh (JSPS PD Researcher, RNA Systems Biochemistry Laboratory, RIKEN Cluster for Pioneering Research (CPR))

Methods such as RNA-sequencing and ribosome profiling are indispensable tools for the comprehensive elucidation of the mechanisms underlying gene expression. A fundamental aspect that requires meticulous attention in the execution of these experiment is the extraction of intact RNA and Ribosomes. The integrity and purity of the extracted RNA is critical to ensure the accuracy and reliability of the sequencing data. In this seminar, I will introduce the basic but key points of the extraction process.

Venue: 3rd floor public space, Main Research Building

Event Official Language: English

Using a trapped ion quantum computer for hamiltonian simulations

February 28 (Wed) at 10:30 - 12:00, 2024

Enrico Rinaldi (Senior Research Scientist, Quantum Machine Learning and Algorithms, Quantinuum K.K.)

Trapped ion quantum computers, like the H-series quantum hardware by Quantinuum, robustly encode quantum information in long lived and precise qubits. However, utilizing the hardware efficiently requires a full-stack workflow from software libraries to hardware compilers. In this talk we introduce the relevant elements of this stack in the context of solving the quantum dynamics of a spin system on H-series hardware: we start from the definition of the Hamiltonian operator in the qubit Hilbert space using the open-source pytket python library and we define the quantum circuits in measurements to run, on a simulator first and on hardware later.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

Plant hackers: galling insects extend their phenotypes on the trees by novel plant organogenesis

February 27 (Tue) at 16:00 - 17:00, 2024

Xin Tong (Special Postdoctoral Researcher, Cell Function Research Team, RIKEN Center for Sustainable Resource Science (CSRS))

When it comes to plant-insect interactions, insects are generally seen as pests like caterpillars eating vegetables or fruits. However, one group of insects, the galling insects can induce de novo organogenesis on the host plants which are often woody plants. Each galling insect species ‘designs’ its own gall as the extended phenotype which are so-called species-specific gall formation. Different from leaves and roots, galls represent unique plant organs swiftly formed in response to parasitic organisms, observed across diverse plant species. Yet, the precise mechanisms by which normal plant development is interrupted and redirected to form galls by galling organisms remain elusive. During the talk, I will share some discoveries and views related to aphid gall formation on the elm tree, which is the super host plant for more than 30 galling species, and further discussion about why an insect gall is not simple cell mass but well-organized structure, and how we could systematically understand insect gall formation.

Venue: Hybrid Format (3F #359 and Zoom), Main Research Building

Event Official Language: English

An Investment Banker’s Journey to the World of Physicists -Seeking the Truth in Economics and Finance

February 26 (Mon) at 15:30 - 17:00, 2024

Irena Vodenska (Professor, Boston University, USA)

I encountered many exciting opportunities to learn, grow intellectually, and teach during my educational, professional, and scientific journey. Life brings chances, and it is up to us to take or leave them. I took my chances, one of the fascinating ones being to embark on a scientific interdisciplinary research collaboration with physicists. My background is in economics and finance, and doing research with physicists has been fascinating from many different points of view, especially in light of being free from any ONE discipline, free to explore research possibilities to answer finance and economic questions based on a boundless horizon of possible solutions. I worked as an investment banker after my first graduate degree before returning to academia to continue chartering new pathways to research. During my work as a hedge fund manager and a NASDAQ market maker, I had an opportunity to witness firsthand, on the trading floor, the US market collapse sparked by the demise of the Long Term Capital Management in 1998 and later the European market plunge during the tragic events of the terrorist attack on New York City on September 11, 2001, when I lived and worked on Manhattan. Most world problems today are complex to solve with one discipline, as multidisciplinary THINKING is needed to cover various aspects of scientific inquiry. Experience is essential, translating real-world knowledge into academia even more so. I was fortunate to be in a position to build the bridge between investment banking and academia. Learning about the pioneer of Econophysics, Boston University Professor H. Eugene Stanley, was like discovering a gold mine for me. After an exciting investment banking experience in the 1990s and early 2000s, I left my investment banking job in New York City to join Professor Stanley’s research laboratory, a time I will cherish and remember as formative, enlightening, and transformative for the rest of my life. One may ask why physicists work with economists on financial economics problems. The answer is simple: physicists are naturally curious, inquisitive, and open to new ideas. Moreover, physicists and economists share the same language, the language of mathematics. The value of the achievement in econophysics research is the results and the empirical outcome based on data obtained with solid models grounded in natural and social science theory. It is not trivial to produce interdisciplinary research, but recognizing its necessity is already prominently featured in many universities’ strategic plans, including Boston University. Let me lay out several studies and results to give you a glimpse into the research I will discuss today. We analyze economic time series and panel data to understand their relationships and investigate whether some economic data could be informative of the behavior of others. We use a novel approach comprised of Complex Hilbert Principal Component Analysis (CHPCA), Rotational Random Shuffling (RRS), and Helmholtz-Hodge (HH) potential to unearth statistically significant co-movements and identify noteworthy economic and geopolitical events that might influence such co-movement dynamics. I will present results from four cases studied collaboratively with my international research collaborators over the last decade since 2013.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

A Selective Survey of Ideas, Tools and Results in Constructive Field Theory

February 26 (Mon) at 13:00 - 14:30, 2024

Christy Koji Kelly (Special Postdoctoral Researcher, iTHEMS)

In this talk we discuss some aspects of constructive field theory with an emphasis on analytical and probabilistic methods and results. In particular after an overview of some points in the history of constructive QFT we plan to discuss some early achievements in axiomatic QFT, some features of the theory of distributions and the basic structure of the Wightman reconstruction theorem. We also introduce the Osterwalder-Schrader axioms and overview the strategy for the construction of nontrivial measures describing path-integrals for interacting QFTs. Depending on time constraints we might also discuss probabilistic tools (weak convergence of measures, the Bochner-Minlos theorem etc), Gaussian measures, UV regularity of simple QFTs and the construction of (infinite volume) Euclidean P(phi)_2 measures. The plan is to discuss some of these topics in some detail after the end of the official seminar.

Venue: via Zoom / Seminar Room #359

Event Official Language: English

Second Workshop on Fundamentals in Density Functional Theory (DFT2024)

February 20 (Tue) - 22 (Thu), 2024

The density functional theory (DFT) is one of the powerful methods to solve quantum many-body problems, which, in principle, gives the exact energy and density of the ground state. The accuracy of DFT is, in practice, determined by the accuracy of an energy density functional (EDF) since the exact EDF is still unknown. Currently, DFT has been used in many communities, including nuclear physics, quantum chemistry, and condensed matter physics, while the fundamental study of DFT, such as the first principle derivations of an accurate EDF and methods to calculate many observables from obtained densities and excited states. However, there has been little opportunity to have interdisciplinary communication. On December 2022, we had the first workshop on this series (DFT2022) at Yukawa Institute for Theoretical Physics, Kyoto University, and several interdisiplinary discussions and collaborationd were started. To share such progresses and extend collaborations, we organize the second workshop. In this workshop, the current status and issues of each discipline will be shared towards solving these problems by meeting together among researchers in mathematics, nuclear physics, quantum chemistry, and condensed matter physics. This workshop mainly comprises lectures/seminars on cutting-edge topics and discussion, while a half-day session composed of contributed talks is also planned. This workshop is partially supported by iTHEMS-phys Study Group. This workshop is a part of the RIKEN Symposium Series. The detailed information can be found in the workshop website.

Venue: 8F, Integrated Innovation Building (IIB) (Main Venue) / via Zoom

Event Official Language: English

An introduction to the exact WKB analysis via the hypergeometric differential equation

February 19 (Mon) - 22 (Thu), 2024

Takashi Aoki (Professor Emeritus, Faculty of Science and Engineering, Kinki University)

This is an introductory course to the exact WKB analysis. Firstly we review some basic facts concerning formal power series and WKB solutions. Secondly we give an overview of the connection formulas for WKB solutions to ordinary differential equations of second order with a large parameter. Next, after recalling some classical theory for the Airy equation and the Gauss hypergeometric differential equation, we show how the exact WKB analysis is used for these equations and what are obtained. One of the main results to be presented in this course is the relation the between the classical hypergeometric function and the Borel resummed WKB solutions to the hypergeometric differential equation with a large parameter. Some applications and recent topics are also given. [Schedule (Tentative)] Day 1 10:00 - 11:30 Lecture 1 14:00 - 16:00 Lecture 2 Day 2 10:00 - 11:30 Lecture 3 14:00 - 16:00 Lecture 4 Day 3 10:00 - 11:30 Lecture 5 14:00 - 16:00 Lecture 6 Day 4 10:00 - 11:30 Lecture 7 14:00 - 16:00 Lecture 8

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

Cellular-level left-right asymmetry, cell chirality, induces the chiral collective rotation of multicellular colony

February 15 (Thu) at 16:00 - 17:00, 2024

Tomoki Ishibashi (Special Postdoctoral Researcher, Laboratory for Physical Biology, RIKEN Center for Biosystems Dynamics Research (BDR))
Ryohei Nishizawa (Ph.D. Student, Graduate School of Frontier Biosciences, Osaka University)

The left-right (LR) asymmetric morphology of organs is essential for the development and maintenance of their functions in various species. In recent years, it has become clear that the LR asymmetry of organs originates from cell chirality, the LR asymmetric nature at the cellular level [1]. However, it is unclear how the cell chirality generates the LR asymmetry at the multicellular level. Here we show a mechanism of LR asymmetry formation at the multicellular level based on cell chirality. We previously found that Caco-2 cells, a typical cultured epithelial cell line derived from human colon cancer, exhibit stereotypical and directional cell chirality; when Caco-2 cells are cultured as single cells, their nuclei and cytoplasm rotate in the clockwise direction at a rate of 50°/h [2]. Interestingly, when Caco-2 forms multicellular colonies, the colonies also undergo a collective clockwise rotation at 10º/h. We revealed that the actomyosin cytoskeleton is essential for the formation of the collective rotation [2]. We also found that Caco-2 cells formed lamellipodia and focal adhesions LR asymmetrically during the collective colony rotation, which may be responsible for the chiral collective motion. Interestingly, the disruption of microtubules reversed the direction of collective rotation. The LR asymmetric formation of lamellipodia and focal adhesions was also reversed by inhibition of microtubule polymerization. We will discuss the possible mechanism and the mathematical model where cell chirality induces multicellular chiral rotation depending on microtubules.

Venue: Seminar Room #359 (Main Venue) / via Zoom

Event Official Language: English

Chemical reaction network theory and the problem of reaction rate

February 8 (Thu) at 16:00 - 17:00, 2024

Tomoharu Suda (Postdoctoral Researcher, Biofunctional Catalyst Research Team, RIKEN Center for Sustainable Resource Science (CSRS))

A chemical system can be described at different levels. When we focus on the population of chemical species, it is convenient to consider the system as consisting of a number of chemical reactions, which assumes the structure of a (hyper)graph together with the species. The chemical reaction network theory studies chemical systems described in such a way. It aims to elucidate the dynamics of overall chemical composition in terms of the associated graph structure. Notably, it applies not only to chemical systems but also to more general systems as long as the mathematical structure is compatible. In the first part of this talk, we will review the basic concepts and results of the theory, which mainly concern the existence and stability of the equilibrium. From the viewpoint of chemical kinetics, it is interesting to consider the rate of the overall reaction, which may be obtained by the total balance of chemical species. The second part of the talk will be devoted to this topic. Formulation of the problem and some results will be presented. In particular, chemical reaction networks with first-order reactions will be considered in detail.

Venue: Hybrid Format (3F #359 and Zoom), Main Research Building

Event Official Language: English