Non-equilibrium temperatures in steady-state systems with conserved energy
arXiv:cond-mat/0412071 · doi:10.1103/PhysRevE.71.046140
Abstract
We study a class of non-equilibrium lattice models describing local redistributions of a globally conserved quantity, which is interpreted as an energy. A particular subclass can be solved exactly, allowing to define a statistical temperature T_{th} along the same lines as in the equilibrium microcanonical ensemble. We compute the response function and find that when the fluctuation-dissipation relation is linear, the slope T_{FD}^{-1} of this relation differs from the inverse temperature T_{th}^{-1}. We argue that T_{th} is physically more relevant than T_{FD}, since in the steady-state regime, it takes equal values in two subsystems of a large isolated system. Finally, a numerical renormalization group procedure suggests that all models within the class behave similarly at a coarse-grained level, leading to a new parameter which describes the deviation from equilibrium. Quantitative predictions concerning this parameter are obtained within a mean-field framework.
16 pages, 2 figures, submitted to Phys. Rev. E
References in corpus (20)
- Analytical Solution of the Off-Equilibrium Dynamics of a Long Range Spin-Glass Model
- 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
- Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
- Observing Brownian motion in vibration-fluidized granular matter
- Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
- Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
- Edwards measures for powders and glasses
- Fluctuation-dissipation ratio of a spin glass in the aging regime
- Partially Asymmetric Exclusion Process with Open Boundaries
- Extension of the Fluctuation-Dissipation theorem to the physical aging of a model glass-forming liquid
- Fluctuation-Dissipation-Theorem violation during the formation of a colloidal-glass
- Fluctuation dissipation ratio in an aging Lennard-Jones glass
- Edwards' measures: a thermodynamic construction for dense granular media and glasses
- Fluctuation-Dissipation relations in Driven Granular Gases
- Temperature probes in binary granular gases
- Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models
- The effects of violating detailed balance on critical dynamics
- Temperature in nonequilibrium systems with conserved energy
- Force correlations in the q-model for general q-distributions
Cited by in corpus (10)
- A statistical mechanics framework for static granular matter
- The Statistical Physics of Athermal Materials
- Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
- Definition and relevance of nonequilibrium intensive thermodynamic parameters
- Intensive thermodynamic parameters in nonequilibrium systems
- Subdiffusion and dynamical heterogeneities in a lattice glass model
- Dependence of the fluctuation-dissipation temperature on the choice of observable
- Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing
- Influence of flux balance on the generalized chemical potential in mass transport models
- Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature