Dissipative brackets as a tool for kinetic modeling

Autor:	G. Dukek, Iliya V. Karlin, Theo F. Nonnenmacher
Rok vydání:	1997
Předmět:	Statistics and Probability Unitarity Generalization Bracket Kinetic scheme Detailed balance Condensed Matter Physics Kinetic energy symbols.namesake Classical mechanics Boltzmann constant Dissipative system symbols Statistical physics Mathematics
Zdroj:	Physica A: Statistical Mechanics and its Applications. 239:493-508
ISSN:	0378-4371
DOI:	10.1016/s0378-4371(97)00015-0
Popis:	A generalization of the previously introduced dissipative bracket formulation of dissipative kinetic equations is performed. This generalization offers an opportunity to write model equations in concordance with the entropy requirements in situations where one attempts to consider the dissipative dynamics near highly non-equilibrium states. A list of sufficient conditions generalizing both the detailed balance and the Stueckelberg unitarity condition is established for the relevant kinetic equations to have an analog of the Boltzmann H -theorem. Several specific patterns of an explicit derivation of the model kinetic equations are discussed, including the relaxation in a given initial direction, the relaxation between two non-equilibrium states, and the slow decay to the equilibrium.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3350af9a5f85d39bc3b1853ebfbd9d2 https://doi.org/10.1016/s0378-4371(97)00015-0 Zobrazit plný text záznamu Full Text from ScienceDirect