On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type

Accardi Luigi; Fagnola Franco; Quezada Roberto

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On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type

机译：关于非平衡统计力学中的三个新原理和弱耦合极限类型的马尔可夫半群

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摘要

We introduce three new principles: the nonlinear Boltzmann-Gibbs prescription, the local KMS condition and the generalized detailed balance (GDB) condition. We prove the equivalence of the first two under general conditions and we discuss a master equation formulation of the third one.

机译：我们介绍了三个新原理：非线性Boltzmann-Gibbs处方，局部KMS条件和广义详细余额（GDB）条件。我们证明了一般条件下前两个方程的等价关系，并讨论了第三个方程的主方程式。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2016年第2期|共37页
作者
Accardi Luigi; Fagnola Franco; Quezada Roberto;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
Nonlinear Boltzmann-Gibbs prescription; local KMS condition; generalized detailed balance condition;

机译：非线性Boltzmann-Gibbs处方;局部KMS条件;广义详细平衡条件;

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1. On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type [J] . Accardi Luigi, Fagnola Franco, Quezada Roberto Infinite dimensional analysis, quantum probability, and related topics . 2016,第2期

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2. A characterization of quantum Markov semigroups of weak coupling limit type [J] . Fagnola Franco, Quezada Roberto Infinite dimensional analysis, quantum probability, and related topics . 2019,第2期

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3. Stationary states of weak coupling limit-type Markov generators and quantum transport models [J] . Infinite dimensional analysis, quantum probability, and related topics . 2020,第1期

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7. On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type [O] . Accardi, L, Fagnola, F, Quezada, R 2016

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On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type

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