Print Email Facebook Twitter Nonequilibrium Thermodynamics of Mesoscopic Systems Title Nonequilibrium Thermodynamics of Mesoscopic Systems Author Dekker, H. Maassen van den Brink, A. TNO Fysisch en Elektronisch Laboratorium Publication year 1999 Abstract The Markovian dynamics of a Brownian particle is derived in the case that the local temperature is a stochastic variable. The isolated mesoscopic "particle plus environment" system is analyzed in the microcanonical ensemble by means of nonlinear-process projection methods. The ensuing generalized Kramers Fokker-Planck equation involves a thermodynamic potential of mean force that is different from the canonical free energy, and the conditional entropy (or availability) emerges as the relevant steady-state potential. By coupling the system to a heat bath, we provide a microscopic foundation for the phenomenological theory of nonisothermal activation in mesoscopic systems. In the second part of this article, we then prove the existence of an availability potential governing the nonisothermal features of a Josephson junction in a SQUID, by studying the Josephson internal energy (and entropy) for T ↑ Tc in a model of two BCS superconductors coupled by a tunneling Hamiltonian. The predicted periodic dependence of the junction's Tc as a function of the flux in the SQUID has meanwhile been confirmed experimentally. Subject Josephson junctionNonequilibrium statistical physicsNonisothermal stochastic processProjection operatorsSuperconducting phase transition To reference this document use: http://resolver.tudelft.nl/uuid:9621bc47-399f-4b3e-ba1f-77296a4ff676 TNO identifier 235325 Source Journal of Superconductivity, 12 (6), 719-725 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.