Uniqueness of thermodynamic projector and kinetic basis of molecular individualism

Alexander N. Gorban and Iliya V. Karlin

Physica A: Statistical Mechanics and its Applications, 2004, vol. 336, issue 3, 391-432

Abstract: Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are studied. Uniqueness of the thermodynamic projector is proven: There exists only one projector which transforms any vector field equipped with the given Lyapunov function into a vector field with the same Lyapunov function for a given anzatz manifold which is not tangent to the Lyapunov function levels.

Keywords: Kinetics; Model reduction; Entropy; Dissipation; Post-processing; Fokker–Planck equation; Boltzmann equation; Gaussian mixtures (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:336:y:2004:i:3:p:391-432

DOI: 10.1016/j.physa.2004.01.039

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