The ontology of temperature in nonequilibrium systems

Abstract

The laws of thermodynamics provide a clear concept of the temperature for an equilibrium system in the continuum limit. Meanwhile, the equipartition theorem allows one to make a connection between the ensemble average of the kinetic energy and the uniform temperature. When a system or its environment is far from equilibrium, however, such an association does not necessarily apply. In small systems, the regression hypothesis may not even apply. Herein, we show that in small nonequilibrium systems, the regression hypothesis still holds though with a generalized definition of the temperature. The latter must now be defined for each such manifestation.

J.Chem.Phys. (in press); 23 pages, 3 figures, 1 table

References in corpus (13)

• Brownian motors: noisy transport far from equilibrium
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Observable-dependence of fluctuation-dissipation relations and effective temperatures
• Fluctuation-dissipation relations and effective temperatures in simple non-mean field systems
• Enslaving random fluctuations in nonequlibrium systems
• The generalized Kramers' theory for nonequilibrium open one-dimensional systems
• Analytical and numerical investigation of escape rate for a noise driven bath
• Theory of non-stationary activated rate processes : nonexponential relaxation kinetics
• Escape rate from a metastable state weakly interacting with a heat bath driven by an external noise
• Local quasi-equilibrium description of slow relaxation systems
• The projection of a nonlocal mechanical system onto the irreversible generalized Langevin equation, II: Numerical simulations
• Dissipating the Langevin equation in the presence of an external stochastic potential

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