On three new principles in non-equilibrium statistical mechanics and Markov semigroups of weak coupling limit type-Reference-Cited by-同舟云学术

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

Published:2016-06 Issue:02 Volume:19 Page:1650009
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

Accardi Luigi¹,Fagnola Franco²,Quezada Roberto³

Affiliation:

1. Centro V. Volterra, Università di Roma Tor Vergata, Via della Columbia, I-00133 Roma, Italy

2. Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Piazza Leonardo da Vinci 32, I-20133 Milano, Italy

3. Departamento de Matemáticas, UAM-Iztapalapa, Av. San Rafael Atlixco 186, Col. Vicentina, 09340 México D.F., México

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025716500090

Reference23 articles.

1. Quantum Theory and Its Stochastic Limit

2. DYNAMICAL DETAILED BALANCE AND LOCAL KMS CONDITION FOR NON-EQUILIBRIUM STATES

3. Interaction of 3-level atom with radiation

4. GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS

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