A Framework of Nonequilibrium Statistical Mechanics. I. Role and Types of Fluctuations
| Autor: | Alberto Montefusco, Hans Christian Öttinger, Mark A. Peletier |
|---|---|
| Přispěvatelé: | Center for Analysis, Scientific Computing & Appl., ICMS Affiliated, EAISI Foundational |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
fluctuations
General Physics and Astronomy Markov process FOS: Physical sciences Type (model theory) 01 natural sciences 010305 fluids & plasmas symbols.namesake Stochastic differential equation 0103 physical sciences GENERIC Statistical physics 010306 general physics Representation (mathematics) Condensed Matter - Statistical Mechanics Physics Statistical Mechanics (cond-mat.stat-mech) Markov processes coarse-graining General Chemistry Statistical mechanics dissipation symbols Fluctuations Generic Granularity Mathematical structure Material properties |
| Zdroj: | Journal of Non-Equilibrium Thermodynamics, 46(1), 1-13. Walter de Gruyter GmbH Journal of Non-Equilibrium Thermodynamics, 46 (1) |
| ISSN: | 0340-0204 1437-4358 |
| Popis: | Understanding the fluctuations by which phenomenological evolution equations with thermodynamic structure can be enhanced is the key to a general framework of nonequilibrium statistical mechanics. These fluctuations provide an idealized representation of microscopic details. We consider fluctuation-enhanced equations associated with Markov processes and elaborate the general recipes for evaluating dynamic material properties, which characterize force-flux constitutive laws, by statistical mechanics. Markov processes with continuous trajectories are conveniently characterized by stochastic differential equations and lead to Green-Kubo-type formulas for dynamic material properties. Markov processes with discontinuous jumps include transitions over energy barriers with the rates calculated by Kramers. We describe a unified approach to Markovian fluctuations and demonstrate how the appropriate type of fluctuations (continuous versus discontinuous) is reflected in the mathematical structure of the phenomenological equations. Journal of Non-Equilibrium Thermodynamics, 46 (1) ISSN:0340-0204 ISSN:1437-4358 |
| Databáze: | OpenAIRE |
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