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The article presents new model of equilibrium in open chemical systems suggesting a linear dependence of the reaction shift from equilibrium in presence of the external thermodynamic force. Basic equation of this model contains traditional…

Chemical Physics · Physics 2007-05-23 B. Zilbergleyt

The paper presents amended basic map of states of chemical systems in discrete thermodynamics of chemical equilibria. Uniting two previously found basic map types in one and covering a wider range of situations, it allows us to obtain more…

Chemical Physics · Physics 2011-02-17 B. Zilbergleyt

In nonequilibrium chemical reaction systems, a fundamental relationship between unbalanced kinetic one-way fluxes and thermodynamic chemical driving forces is believed to exists. However this relation has been rigorously demonstrated only…

Chemical Physics · Physics 2020-07-22 Yongli Peng , Hong Qian , Daniel A. Beard , Hao Ge

The paper presents new thermodynamic paradigm of chemical equilibrium, setting forth comprehensive basics of Discrete Thermodynamics of Chemical Equilibria (DTd). Along with previous results by the author during the last decade, this work…

General Physics · Physics 2011-10-31 B. Zilbergleyt

The article introduces a new relationship between the chemical system complexity and deviation of its bifurcation point from thermodynamic equilibrium. In the formalism of discrete thermodynamics of chemical equilibria, simulation of…

Chemical Physics · Physics 2007-09-28 B. Zilbergleyt

The article sets forth comprehensive basics of thermodynamics of chemical equilibrium as balance of the thermodynamic forces. Based on the linear equations of irreversible thermodynamics, De Donder definition of the thermodynamic force, and…

Chemical Physics · Physics 2007-05-23 B. Zilbergleyt

The paper sets forth comprehensive basics of Discrete Thermodynamics of Chemical Equilibria (DTD), developed by the author during the last decade and spread over series of publications. Based on the linear equations of irreversible…

Chemical Physics · Physics 2008-08-05 B. Zilbergleyt

The consistency across scales of a recently developed mathematical thermodynamic structure, between a continuous stochastic nonlinear dynamical system (diffusion process with Langevin or Fokker-Planck equations) and its emergent discrete,…

Statistical Mechanics · Physics 2015-10-28 Moises Santillan , Hong Qian

All known up to now models of chemical oscillations are based exclusively on kinetic considerations. The chemical gross-process equation is split usually by elementary steps, each step is supplied by an arrow and a differential equation,…

Chemical Physics · Physics 2010-08-09 B. Zilbergleyt

Temperature gradients represent energy sources that can be harvested to generate steady reaction or transport fluxes. Technological developments could lead to the transfer of free energy from heat sources and sinks to chemical systems for…

Chemical Physics · Physics 2025-03-13 Mohammed Loukili , Ludovic Jullien , Guillaume Baffou , Raphaël Plasson

The article presents results of preliminary study of solutions to recently offered basic thermodynamic equation for equilibrium in chemical systems with focus on chaotic behavior. Classical part of that equation was investigated earlier in…

Chemical Physics · Physics 2016-09-08 B. Zilbergleyt

Living systems are maintained out-of-equilibrium by external driving forces. At stationarity, they exhibit emergent selection phenomena that break equilibrium symmetries and originate from the expansion of the accessible chemical space due…

Statistical Mechanics · Physics 2026-04-01 Shiling Liang , Paolo De Los Rios , Daniel Maria Busiello

The theory of chemical kinetics form the basis to describe the dynamics of chemical systems. Owing to physical and thermodynamic constraints, chemical reaction systems possess various structures, which can be utilized to characterize…

Biological Physics · Physics 2022-01-03 Tetsuya J. Kobayashi , Dimitri Loutchko , Atsushi Kamimura , Yuki Sughiyama

Chemical reaction networks (CRNs) exhibit complex dynamics governed by their underlying network structure. In this paper, we propose a novel approach to study the dynamics of CRNs by representing them on species graphs (S-graphs). By…

Molecular Networks · Quantitative Biology 2024-04-24 Keisuke Sugie , Dimitri Loutchko , Tetsuya J. Kobayashi

For chemical reaction networks described by a master equation, we define energy and entropy on a stochastic trajectory and develop a consistent nonequilibrium thermodynamic description along a single stochastic trajectory of reaction…

Statistical Mechanics · Physics 2009-11-11 Tim Schmiedl , Udo Seifert

We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity,…

Statistical Mechanics · Physics 2019-05-07 Hong Qian

Physical kinetic roughening processes are well known to exhibit universal scaling of observables that fluctuate in space and time. Are there analogous dynamic scaling laws that are unique to the chemical reaction mechanisms available…

Statistical Mechanics · Physics 2022-11-17 Shrabani Mondal , Jonah S. Greenberg , Jason R. Green

The entropy production rate is a key quantity in irreversible thermodynamics. In this work, we concentrate on the realization of entropy production rate in chemical reaction systems in terms of the experimentally measurable reaction rate.…

Chemical Physics · Physics 2019-11-14 Kinshuk Banerjee , Kamal Bhattacharyya

Single enzyme chemotaxis is a phenomenon by which a non-equilibrium spatial distribution of an enzyme is created and maintained by concentration gradients of the substrate and product of the catalyzed reaction. These gradients can arise…

Soft Condensed Matter · Physics 2022-06-14 Niladri Sekhar Mandal , Ayusman Sen , R. Dean Astumian

The recently measured spin susceptibility of the two dimensional electron gas exhibits a strong dependence on temperature, which is incompatible with the standard Fermi liquid phenomenology. Here we show that the observed temperature…

Strongly Correlated Electrons · Physics 2017-05-16 Arkady Shekhter , Alexander M. Finkel'stein
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