On entropy production
type: Item
instance of: scholarly article
title: On entropy production
zbMATH Open document ID: 1157.82035
published in: Annals of Physics
publication date: 2008-11-12T00:00:00Z
review text: The paper's methodology traces back to Prigogine's theory of irreversible systems and an issue of irreversible time evolution in Onsager's formulation. The super-operator technique is developed, based on earlier papers of the present Author, with the aim of reconciling the conceptual background of an irreversible dynamics with principles of standard equilibrium thermodynamics, expected to be valid in the large time asymptotic of an evolution of a (quantum) system interacting with a thermal environment. The role of properly defined Lyapunov function is elucidated. The entropy production in the vicinity of equilibrium is investigated and a general version of the minimum entropy principle (according to Prigogine) is given.
reviewed by: Piotr Garbaczewski
Mathematics Subject Classification ID: 82C35
Mathematics Subject Classification ID: 82C10
Mathematics Subject Classification ID: 82C05
Mathematics Subject Classification ID: 37M25
Mathematics Subject Classification ID: 37A35
zbMATH DE Number: 5365200
zbMATH Keywords: non-equilibrium dynamics
zbMATH Keywords: irreversible evolution
zbMATH Keywords: open quantum systems
zbMATH Keywords: variational principles
zbMATH Keywords: Lyapunov function
zbMATH Keywords: entropy
zbMATH Keywords: minimum entropy porduction
zbMATH Keywords: super-operator method
author: Stig Stenholm
MaRDI profile type: Publication
full work available at URL: j.aop.2008.05.005
OpenAlex ID: W2005028953
cites work: On the quantum statistical basis of non-equilibrium thermodynamics. I
cites work: Q5723852
cites work: Q5659089
cites work: Q3229900
cites work: Q2725516
cites work: Kinetic Approach to Condensation
cites work: Nonequilibrium statistical mechanics
cites work: Q4792125
cites work: Quantum dynamical systems
cites work: Q2706552
cites work: Quantum Approach to Informatics
cites work: The many facets of entropy
cites work: Variational functions in open systems
cites work: Time inversion in dynamical systems.
cites work: Principle of Minimum Entropy Production
cites work: Variational Principles and Entropy Production
cites work: Entropy production for quantum dynamical semigroups
cites work: Q5330286
cites work: On the generators of quantum dynamical semigroups
cites work: Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
cites work: Q4748912
cites work: Symmetrizable completely continuous linear transformations in Hilbert space
cites work: Q5822251
cites work: Gibbs vs Boltzmann Entropies
DOI: 10.1016/J.AOP.2008.05.005
description: scientific article; zbMATH DE number 5365200