Journal ArticleDOI
Network theory of microscopic and macroscopic behavior of master equation systems
TLDR
In this paper, a general microscopic and macroscopic theory is developed for systems which are governed by a (linear) master equation, and the results are obtained mostly by application of some basic theorems of mathematical graph theory.Abstract:
A general microscopic and macroscopic theory is developed for systems which are governed by a (linear) master equation. The theory is based on a network representation of the master equation, and the results are obtained mostly by application of some basic theorems of mathematical graph theory. In the microscopic part of the theory, the construction of a steady state solution of the master equation in terms of graph theoretical elements is described (Kirchhoff's theorem), and it is shown that the master equation satisfies a global asymptotic Liapunov stability criterion with respect to this state. The Glansdorff-Prigogine criterion turns out to be the differential version and thus a special case of the global criterion. In the macroscopic part of the theory, a general prescription is given describing macrostates of the systems arbitrarily far from equilibrium in the language of generalized forces and fluxes of nonlinear irreversible thermodynamics. As a particular result, Onsager's reciprocity relations for the phenomenological coefficients are obtained as coinciding with the reciprocity relations of a near-to-equilibrium network.read more
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Stochastic thermodynamics, fluctuation theorems and molecular machines
TL;DR: Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
Journal ArticleDOI
Evolutionary games on graphs
György Szabó,Gábor Fáth +1 more
TL;DR: The major theme of the review is in what sense and how the graph structure of interactions can modify and enrich the picture of long term behavioral patterns emerging in evolutionary games.
Journal ArticleDOI
Non-Hermitian Physics
TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
Journal ArticleDOI
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport
Tom Chou,K. Mallick,R. K. P. Zia +2 more
TL;DR: The totally asymmetric exclusion process as discussed by the authors is regarded as a paradigmatic model for non-equilibrium statistical mechanics, much like the role the Ising model played for equilibrium statistical mechanics.
Journal ArticleDOI
Fluctuation theorems for stochastic dynamics
TL;DR: Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium as mentioned in this paper, and a wide variety of distinct, but interconnected, relations have been derived and investigated theoretically and experimentally.
References
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A Schematic Method of Deriving the Rate Laws for Enzyme-Catalyzed Reactions
Edward L. King,Carl Altman +1 more
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Chemical reaction models for non-equilibrium phase transitions
TL;DR: In this article, the steady states of non-equilibrium phase transitions are discussed, and a phase transition of second order, another one of first order, and diffusion occurs in first order transition.
Journal ArticleDOI
Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems
TL;DR: In this article, a tutorial approach to cooperative phenomena in systems far from thermal equilibrium and in non-physical systems is presented, with particular emphasis on the question of how order and self-organization may arise.
Journal ArticleDOI
Network thermodynamics: dynamic modelling of biophysical systems
TL;DR: The success of equilibrium thermodynamics in describing static phenomena has inspired many attempts to develop a rigorous thermodynamics of rate processes.
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