Non-equilibrium thermodynamics and Fisher information: An illustrative example
Both non-equilibrium and equilibrium thermodynamics can be obtained from a constrained Fisher extremization process whose output is a Schrödinger-like wave equation (SWE). Within this paradigm, equilibrium thermodynamics corresponds to the ground state (GS) solution, while non-equilibrium thermodyna...
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Published in | Physics letters. A Vol. 304; no. 3; pp. 73 - 78 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
11.11.2002
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Subjects | |
Online Access | Get full text |
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Summary: | Both non-equilibrium and equilibrium thermodynamics can be obtained from a constrained Fisher extremization process whose output is a Schrödinger-like wave equation (SWE). Within this paradigm, equilibrium thermodynamics corresponds to the ground state (GS) solution, while non-equilibrium thermodynamics corresponds to admixtures of this GS with excited state solutions.
The method is a new and powerful approach to off-equilibrium thermodynamics. We discuss an application to electrical conductivity processes, and thereby, by construction, show that the following three approaches yield identical results: (1) the conventional Boltzmann transport equation in the relaxation approximation, (2) the Rumer and Ryvkin Gaussian–Hermite-algorithm, and (3) our Fisher–Schrödinger technique. |
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ISSN: | 0375-9601 1873-2429 |
DOI: | 10.1016/S0375-9601(02)01367-1 |