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A Schroedinger link between non-equilibrium thermodynamics and Fisher information | | B. R. Frieden
; A. Plastino
; A. R. Plastino
; B. Soffer
; | | Date: |
7 Jun 2002 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both non-equilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground state solution, and non-equilibrium thermodynamics corresponds to excited state solutions, of a Schroedinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium- and non-equilibrium situations can thereby be tackled by one formalism that clearly exhibits the fact that thermodynamics and quantum mechanics can both be expressed in terms of a formal SWE, out of a common informational basis. | | Source: | arXiv, cond-mat/0206107 | | Services: | Forum | Review | PDF | Favorites | |
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