Schrödinger link between nonequilibrium thermodynamics and Fisher information

• Autores: Frieden, B. R.; Plastino, Ángel Luis; Plastino, Ángel Ricardo; Soffer, B. H.
• Año de publicación: 2002
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: Física; Ciencias Astronómicas; Equilibrium thermodynamics; Physics; Fisher information; Non-equilibrium thermodynamics; Schrödinger equation
• Institución: Universidad Nacional de La Plata

It is known that equilibrium thermodynamics can be deduced from a constrained Fisher information extemizing process. We show here that, more generally, both nonequilibrium and equilibrium thermodynamics can be obtained from such a Fisher treatment. Equilibrium thermodynamics corresponds to the ground-state solution, and nonequilibrium thermodynamics corresponds to excited-state solutions, of a Schrödinger wave equation (SWE). That equation appears as an output of the constrained variational process that extremizes Fisher information. Both equilibrium and nonequilibrium 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. As an application, we discuss viscosity in dilute gases.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Facultad de Ciencias Astronómicas y Geofísicas