Nonlinear heat equation and two-level diffusion
type: Item
instance of: scholarly article
title: Nonlinear heat equation and two-level diffusion
zbMATH Open document ID: 1014.82030
DOI: 10.1016/S0034-4877(02)80037-4
published in: Reports on Mathematical Physics
publication date: 2003-01-22T00:00:00Z
review text: The author studies the interaction between the diffusion of a Brownian particle which can occupy two energy levels, and the heat flow described by the Streater nonlinear heat equation is analysed [cf. \textit{R. F. Streater}, Rep. Math. Phys. 40, No. 3, 557--564 (1997; Zbl 0907.60094)]. Particularly, the Streater effect in which the potential energy of a particle is converted to heat due to friction is taken into account. It is shown that for such a continuum, the firs law of thermodynamics and the modified form of the second law hold true, while the Prigogine conjecture is not satisfied even in the approximation known from a one level diffusion. Also, the behaviour of a system in isothermal conditions beyond a detailed balance is considered.
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 1857374
zbMATH Keywords: two-level systems
zbMATH Keywords: Brownian motion
zbMATH Keywords: protein motors
zbMATH Keywords: Prigogine conjecture
author: R. Wojnar
MaRDI profile type: Publication
cites work: Nonlinear heat equations
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full work available at URL: s0034-4877(02)80037-4
OpenAlex ID: W2004054171
description: scientific article; zbMATH DE number 1857374