Local equivalence of reversible and general Markov kinetics

Gorban A.N.

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Local equivalence of reversible and general Markov kinetics

机译：可逆和一般马尔可夫动力学的局部等价

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摘要

We consider continuous-time Markov kinetics with a finite number of states and a positive equilibrium ~P. This class of systems is significantly wider than the systems with detailed balance. Nevertheless, we demonstrate that for an arbitrary probability distribution P and a general system there exists a system with detailed balance and the same equilibrium that has the same velocity dP/dt at point P. The results are extended to nonlinear systems with the generalized mass action law.

机译：我们考虑具有有限状态数和正平衡〜P的连续时间马尔可夫动力学。此类系统比具有详细平衡的系统要宽得多。尽管如此，我们证明对于任意概率分布P和一般系统，存在一个具有详细平衡和相同平衡的系统，该系统在P点具有相同的速度dP / dt。结果被推广到具有广义质量作用的非线性系统法。

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《Physica, A. Statistical mechanics and its applications》 |2013年第5期|共11页
作者
Gorban A.N.;
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正文语种 eng
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关键词
Decomposition; Detailed balance; Entropy; Lyapunov function; Uncertainty;

机译：分解;详细平衡;熵;Lyapunov函数;不确定性;

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1. Local equivalence of reversible and general Markov kinetics [J] . Gorban A.N. Physica, A. Statistical mechanics and its applications . 2013,第5期

机译：可逆和一般马尔可夫动力学的局部等价
2. Non-Markovian kinetic equations of dissociation and reversible reaction A+B reversible arrow C in solutions [J] . Doktorov AB., Kipriyanov AA. Physica, A. Statistical mechanics and its applications . 2003,第1a2期

机译：解中的非马尔可夫动力学方程和可逆反应A + B可逆箭头C
3. A many-particle derivation of the Integral Encounter Theory non-Markovian kinetic equations of the reversible reaction A+B reversible arrow C in solutions [J] . Doktorov AB., Kipriyanov AA. Physica, A. Statistical mechanics and its applications . 2003,第0期

机译：溶液中可逆反应A + B可逆箭头C的积分En论非马氏动力学方程的多粒子推导
4. Composition and Equivalence of Markovian and Non-Markovian Models [C] . Buchholz Peter, Telek Miklos 2011 Eighth International Conference on Quantitative Evaluation of Systems . 2011

机译：马尔可夫模型和非马尔可夫模型的组成和等价
5. Mechanisms of electron transfer and hydrogen activation in selected triruthenium clusters with multiple bridging ligands. Part I. The attenuation of radical reactivity in triruthenium trihydrido(alkylidyne) clusters. Electrochemistry and kinetics of decomposition of the 47-electron cluster radical, via a disproportionation path. Part II. The activation of molecular hydrogen at transition metal centers via kinetics and mechanism of reversible oxidative addition of hydrogen across the metal-metal bond of (mu-hydrogen)(2)Ruthenium(3)(Carbon monoxide)(8)(mu-phosphorus(t-BU)(2))(2). [D] . Bierdeman, David John. 2000

机译：具有多个桥联配体的选定三钌簇中电子转移和氢活化的机理。第一部分。三氢三钌（亚烷基）簇中自由基反应性的减弱。通过歧化路径分解47电子簇自由基的电化学和动力学。第二部分通过（mu-hydrogen）（2）钌（3）（一氧化碳）（8）（mu-phosphorus（）的金属-金属键上氢的可逆氧化加成反应的动力学和机理激活过渡金属中心的分子氢t-BU）（2））（2）。
6. Publisher Correction: Equivalence and its invalidation between non-Markovian and Markovian spreading dynamics on complex networks [O] . Mi Feng, Shi-Min Cai, Ming Tang, -1

机译：发布者更正：复杂网络上非马尔可夫和马尔可夫传播动力学之间的对等及其无效
7. Local equivalence of reversible and general Markov kinetics [O] . Alexander N. Gorban 2016

机译：可逆和一般马尔可夫动力学的局部等价性

Local equivalence of reversible and general Markov kinetics

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