A Schroedinger link between non-equilibrium thermodynamics and Fisher information

Details A Schroedinger link between non-equilibrium thermodynamics and Fisher information A Schroedinger link between non-equilibrium thermodynamics and Fisher information

2002-06-07

arxiv.org/abs/cond-mat/0206107v1

Physics

Condensed Matter

Statistical Mechanics

12 pages, no figures

Scientific paper

10.1103/PhysRevE.66.046128

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.

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