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The principle of detailed balance states that in equilibrium each elementary process is equilibrated by its reverse process. For many real physico-chemical complex systems (e.g. homogeneous combustion, heterogeneous catalytic oxidation,…

统计力学 · 物理学 2011-08-24 A. N. Gorban , G. S. Yablonsky

When modelling driven steady states of matter, it is common practice either to choose transition rates arbitrarily, or to assume that the principle of detailed balance remains valid away from equilibrium. Neither of those practices is…

统计力学 · 物理学 2009-11-10 R. M. L. Evans

We analyse and interpret the effects of breaking detailed balance on the convergence to equilibrium of conservative interacting particle systems and their hydrodynamic scaling limits. For finite systems of interacting particles, we review…

统计力学 · 物理学 2017-08-21 Marcus Kaiser , Robert L. Jack , Johannes Zimmer

Mass action type deterministic kinetic models of ion channels are usually constructed in such a way as to obey the principle of detailed balance (or, microscopic reversibility) for two reasons: first, the authors aspire to have models…

分子网络 · 定量生物学 2011-09-21 I. Nagy , J. Tóth

Time-reversal symmetry of microscopic laws dictates that the equilibrium distribution of a stochastic process must obey the detailed balance. On the other hand, cyclic Markov processes that do not admit equilibrium distributions with…

统计力学 · 物理学 2018-03-21 Julian Lee

Living systems are typically characterized by irreversible processes. A condition equivalent to the reversibility is the detailed balance, whose absence is an obstacle for analytically solving ecological models. We revisit a promising model…

统计力学 · 物理学 2012-11-20 Jacopo Grilli , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Living systems break detailed balance at small scales, consuming energy and producing entropy in the environment in order to perform molecular and cellular functions. However, it remains unclear how broken detailed balance manifests at…

Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce broken detailed balance at the molecular scale. This molecular scale breaking of detailed balance is crucial to achieve biological functions such as…

生物物理 · 物理学 2018-05-02 F. Gnesotto , F. Mura , J. Gladrow , C. P. Broedersz

The breaking of detailed balance, the symmetry between forward and backward probability transition between two states, is crucial to understand irreversible systems. In hydrodynamic turbulence, a far-from equilibrium system, we observe a…

The detailed balance property is a fundamental property that must be satisfied in all the macroscopic systems with a well defined temperature at each point. On the other hand, many biochemical networks work in non-equilibrium conditions and…

经典分析与常微分方程 · 数学 2025-02-10 E. Franco , J. J. L. Velázquez

In systems with detailed balance, the stationary distribution and the equilibrium distribution are identical, creating a clear connection between energetic and entropic quantities. Many driven systems violate detailed balance and still pose…

统计力学 · 物理学 2025-01-22 Markus Hofer , Jan Korbel , Rudolf Hanel , Stefan Thurner

Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability…

分子网络 · 定量生物学 2011-05-11 Gabor Szederkenyi , Katalin M. Hangos

The principle of detailed balance (DB) states that every kinetic transition in a system with many micro-states, $\mu$, is balanced, on average, with the opposite transition, $\mu_i\leftrightharpoons\mu_j$. Since its introduction by…

软凝聚态物质 · 物理学 2022-12-29 Xulai Sun , Yinqiao Wang , Yujie Wang , Raphael Blumenfeld , Jie Zhang

We investigate the equilibration of an isolated macroscopic quantum system in the sense that deviations from a steady state become unmeasurably small for the overwhelming majority of times within any sufficiently large time interval. The…

统计力学 · 物理学 2012-04-20 Peter Reimann , Michael Kastner

A broken time-reversal symmetry, i.e. broken detailed balance, is central to non-equilibrium physics and is a prerequisite for life. However, it turns out to be quite challenging to unambiguously define and quantify time-reversal symmetry…

统计力学 · 物理学 2025-03-20 Cai Dieball , Aljaž Godec

We further clarify the relation between detailed-balanced and complex-balanced equilibria of reversible chemical reaction networks. Our results hold for arbitrary kinetics and also for boundary equilibria. Detailed balance, complex balance,…

动力系统 · 数学 2020-09-29 Stefan Müller , Badal Joshi

The observed general time-asymmetric behavior of macroscopic systems -- embodied in the second law of thermodynamics -- arises naturally from time-symmetric microscopic laws due to the great disparity between macro and micro-scales. More…

凝聚态物理 · 物理学 2007-05-23 Joel L. Lebowitz

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of…

数学物理 · 物理学 2007-05-23 Sebastiano Pennisi , Maria Cristina Carrisi , Antonio Scanu

Integrating out fast degrees of freedom is known to yield, to a good approximation, memory-less, i.e. Markovian, dynamics. In the presence of such a time-scale separation local detailed balance is believed to emerge and to guarantee…

统计力学 · 物理学 2023-12-12 David Hartich , Aljaž Godec

In understanding the world of matter, the introduction of symmetry principles following experimentation or using the predictive power of symmetry principles to guide experimentation is most profound. The conservation of energy, linear…

高能物理 - 唯象学 · 物理学 2015-06-25 Willem T. H. van Oers
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