Bona Fide Thermodynamic Temperature in Nonequilibrium Kinetic Ising Models

Abstract

We show that a nominal temperature can be consistently and uniquely defined everywhere in the phase diagram of large classes of nonequilibrium kinetic Ising spin models. In addition, we confirm the recent proposal that, at critical points, the large-time ``fluctuation-dissipation ratio'' $X_{\infty }$ is a universal amplitude ratio and find in particular $X_{\infty }\approx 0.33(2)$ and $X_{\infty }=1/2$ for the magnetization in, respectively, the two-dimensional Ising and voter universality classes.

arXiv comment4 pages, 3 figures

References in corpus (21)

• 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
• On the Out of Equilibrium Relaxation of the Sherrington - Kirkpatrick model
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Critical Coarsening without Surface Tension: the Voter Universality Class
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Two-time scales, two-temperature scenario for nonlinear rheology
• Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
• Edwards measures for powders and glasses
• Fluctuation-dissipation ratio of a spin glass in the aging regime
• Response of non-equilibrium systems at criticality: Ferromagnetic models in dimension two and above
• Response of non-equilibrium systems at criticality: Exact results for the Glauber-Ising chain
• Fluctuation dissipation ratio in an aging Lennard-Jones glass
• A far-from-equilibrium fluctuation-dissipation relation for an Ising-Glauber-like model
• Fluctuation-dissipation relations in the non-equilibrium critical dynamics of Ising models
• Two-loop Critical Fluctuation-Dissipation Ratio for the Relaxational Dynamics of the O(N) Landau-Ginzburg Hamiltonian
• Aging in ferromagnetic systems at criticality near four dimensions
• Coarsening and persistence in a class of stochastic processes interpolating between the Ising and voter models
• The effects of violating detailed balance on critical dynamics
• Short time dynamics of a two dimensional majority vote model
• Microcanonical determination of the order parameter critical exponent

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• Intensive thermodynamic parameters in nonequilibrium systems
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• Fluctuations of two-time quantities and non-linear response functions
• Influence of flux balance on the generalized chemical potential in mass transport models
• Observable Dependent Quasi-Equilibrium in Slow Dynamics
• Non-equilibrium critical properties of the Ising model on product graphs
• Role of unstable periodic orbits in phase transitions of coupled map lattices
• Aging and stationary properties of non-equilibrium symmetrical three-state models
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