Temperature of a Hamiltonian system given as the effective temperature of a non-equilibrium steady state Langevin thermostat

Abstract

In non-equilibrium steady states (NESS) far from equilibrium, it is known that the Einstein relation is violated. Then, the ratio of the diffusion coefficient to the mobility is called an effective temperature, and the physical relevance of this effective temperature has been studied in several works. Although the physical relevance is not yet completely clear, it has been found that the role of an effective temperature in NESS is indeed analogous to that of the temperature in equilibrium systems in a number of respects. In this paper, we find further evidence establishing this analogy. We employ a non-equilibrium Langevin system as a thermostat for a Hamiltonian system and find that the kinetic temperature of this Hamiltonian system is equal to the effective temperature of the thermostat.

arXiv comment4 pages, to appear Phys. Rev. E (Rapid Communications)

References in corpus (15)

• Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• The Einstein relation generalized to non-equilibrium
• Effective temperature in nonequilibrium steady states of Langevin systems with a tilted periodic potential
• Experimental Test of a New Equality: Measuring Heat Dissipation in an Optically Driven Colloidal System
• Violation of the fluctuation-dissipation theorem in a protein system
• Effective temperature of a dissipative driven mesoscopic system
• Fluctuation-dissipation relations in driven dissipative systems
• Linear response theory in stochastic many-body systems revisited
• Isolated Non-Equilibrium Systems in Contact
• Decomposition of force fluctuations far from equilibrium
• Diffusion Coefficient and Mobility of a Brownian Particle in a Tilted Periodic Potential

Cited by in corpus (7)

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• Driven Brownian particle as a paradigm for a nonequilibrium heat bath: Effective temperature and cyclic work extraction
• Equilibrium-like behavior in far-from-equilibrium chemical reaction networks
• Nonequilibrium Langevin equation and effective temperature for particle interacting with spatially extended environment
• Matrix approach to generalized ensemble theory for nonequilibrium discrete systems