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A model is proposed for studying the reaction dynamics in complex quantum systems in which the complete mixing of states is hindered by an internal barrier. Such systems are often treated by the transition-state theory, also known in…

Quantum Physics · Physics 2021-11-03 G. F. Bertsch , K. Hagino

We study general linear transport-reaction systems on an arbitrary dimensional hypercube with periodic boundary conditions. Transport-reaction systems are often used to model the finite speed movement and interaction of particles, bacteria…

Analysis of PDEs · Mathematics 2022-10-04 Benedikt Geiger

Chemical reaction networks offer a natural nonlinear generalisation of linear Markov jump processes on a finite state-space. In this paper, we analyse the dynamical large deviations of such models, starting from their microscopic version,…

Statistical Mechanics · Physics 2019-09-04 Alexandre Lazarescu , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

The dynamics of molecular motors which occasionally detach from a heterogeneous track like DNA or RNA is considered. Motivated by recent single molecule experiments, we study a simple model for a motor moving along a disordered track using…

Statistical Mechanics · Physics 2009-11-10 Yariv Kafri , David K. Lubensky , David R. Nelson

We introduce a new method for transforming chemical systems into desired logical operators (e.g. NAND-gates) or similar signal-manipulation components. The method is based upon open-loop dynamic regulation, where external conditions such as…

Chemical Physics · Physics 2018-11-30 Matthew Egbert , Jean-Sebastien Gagnon , Juan Perez-Mercader

Instabilities in thermodynamic systems are often undesirable, as they can lead to loss of control or even catastrophic behavior. Yet, the same mechanisms can also generate rich nonequilibrium behavior and may play a constructive role in…

Statistical Mechanics · Physics 2026-05-08 Aaron Beyen , Francesco Casini , Christian Maes

In this perspective, the chemical physics of biological electron transfer are considered in relation to artificial electrocatalyst development. Nature's ability to access a wide range of chemical reactivities through a narrow set of…

Chemical Physics · Physics 2023-11-07 Peter Agbo

We present a spatially-extended system of chemical reactions exhibiting adaptation to time-dependent influxes of reactants. Here adaptation is defined as improved reproductive success, namely the ability of one of the many locally stable…

Statistical Mechanics · Physics 2025-12-02 Olivier Rivoire , Guy Bunin

Recent results connected to nuclear collision dynamics, from low up to relativistic energies, are reviewed. Heavy ion reactions offer the unique opportunity to probe the complex nuclear many-body dynamics and to explore, in laboratory…

Nuclear Theory · Physics 2020-07-15 Maria Colonna

Most biochemical reactions in living cells are open systems interacting with environment through chemostats to exchange both energy and materials. At a mesoscopic scale, the number of each species in those biochemical reactions can be…

Optimization and Control · Mathematics 2022-11-08 Yuan Gao , Jian-Guo Liu

We propose a new driving scheme, when different parts of a system are driven with different, generally incommensurate, frequencies. Such driving provides a flexible handle to control various properties of the system and to obtain new types…

Optics · Physics 2018-03-01 Huanan Li , Tsampikos Kottos , Boris Shapiro

Active solids combine internal active driving with elasticity to realize states with nonequilibrium mechanics and autonomous motion. They are often studied in overdamped settings, e.g., in soft materials, and the role of inertia is less…

Soft Condensed Matter · Physics 2025-12-29 Siddhartha Sarkar , Biswarup Ash , Yueyang Wu , Nicholas Boechler , Suraj Shankar , Xiaoming Mao

Activated dynamics in a glassy system undergoing steady shear deformation is studied by numerical simulations. Our results show that the external driving force has a strong influence on the barrier crossing rate, even though the reaction…

Statistical Mechanics · Physics 2010-11-12 Patrick Ilg , Jean-Louis Barrat

Reaction rate equations are ordinary differential equations that are frequently used to describe deterministic chemical kinetics at the macroscopic scale. At the microscopic scale, the chemical kinetics is stochastic and can be captured by…

Soft Condensed Matter · Physics 2021-05-12 Ariana Torres-Knoop , Ivan Kryven

Motivated by the possibility of electrochemical control of phase separation, a variational theory of thermodynamic stability is developed for driven reactive mixtures, based on a nonlinear generalization of the Cahn-Hilliard and Allen-Cahn…

Chemical Physics · Physics 2017-11-01 Martin Z. Bazant

We study diffusion-controlled processes in nonequilibrium steady states, where standard rate theory assumptions break down. Using transition path theory, we generalize the relations between reactive probability fluxes and measures of the…

Chemical Physics · Physics 2025-06-02 Seokjin Moon , David T. Limmer

We elucidate the escape properties of stars moving in the combined gravitational field of a binary system of two interacting dwarf spheroidal galaxies. A galaxy model of three degrees of freedom is adopted for describing the dynamical…

Astrophysics of Galaxies · Physics 2018-03-21 Euaggelos E. Zotos , Christof Jung

Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis - namely how a directed movement in response to an external chemical signal may occur…

Analysis of PDEs · Mathematics 2023-06-30 Yishu Gong , Alexander Kiselev

Recent experimental studies suggest that wet-dry cycles and coexisting phases can each strongly alter chemical processes. The mechanisms of why and to which degree chemical processes are altered when subject to evaporation and condensation…

Biological Physics · Physics 2023-12-18 Ivar Svalheim Haugerud , Pranay Jaiswal , Christoph A. Weber

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

Physics and Society · Physics 2018-03-21 Juan V Escobar , Isaac Pérez Castillo
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