6533b820fe1ef96bd127a48d
RESEARCH PRODUCT
Thermodynamic formalism and linear response theory for non-equilibrium steady states
Thomas Specksubject
Thermal equilibriumNormalization (statistics)Statistical Mechanics (cond-mat.stat-mech)Stochastic processEntropy productionMarkov processNon-equilibrium thermodynamicsFOS: Physical sciences01 natural sciences010305 fluids & plasmasThermodynamic potentialsymbols.namesake0103 physical sciencessymbolsStatistical physics010306 general physicsLinear response theoryCondensed Matter - Statistical MechanicsMathematicsdescription
We study the linear response in systems driven away from thermal equilibrium into a nonequilibrium steady state with nonvanishing entropy production rate. A simple derivation of a general response formula is presented under the condition that the generating function describes a transformation that (to lowest order) preserves normalization and thus describes a physical stochastic process. For Markov processes we explicitly construct the conjugate quantities and discuss their relation with known response formulas. Emphasis is put on the formal analogy with thermodynamic potentials and some consequences are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-08-22 |