On universality in aging ferromagnets

Abstract

This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared in its high-temperature phase and then quenched at the critical temperature $T_c$. We investigated by mean of Monte Carlo simulations two quantities that are believed to take universal values: the exponent $\lambda /z$ obtained from the decay of autocorrelation functions and the asymptotic value $X_{\infty }$ of the fluctuation-dissipation ratio $X(t,s)$. This protocol was applied to the Ising model, the 3-state clock model and the 4-state Potts model on square, triangular and honeycomb lattices and to the Ashkin-Teller model at the point belonging at equilibrium to the 3-state Potts model universality class and to a multispin Ising model and the Baxter-Wu model both belonging to the 4-state Potts model universality class at equilibrium.

17 pages

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Cited by in corpus (26)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Ageing Properties of Critical Systems
• On the definition of a unique effective temperature for non-equilibrium critical systems
• Efficient measurement of linear susceptibilities in molecular simulations: Application to aging supercooled liquids
• Fluctuation-dissipation ratios in the dynamics of self-assembly
• Activated aging dynamics and negative fluctuation-dissipation ratios
• Critical aging of Ising ferromagnets relaxing from an ordered state
• Ageing phenomena without detailed balance: the contact process
• Aging phenomena in critical semi-infinite systems
• Non-equilibrium dynamics of spin facilitated glass models
• Ageing in the critical contact process: a Monte Carlo study
• Dynamic critical behaviour in Ising spin glasses
• Fluctuation-dissipation relations in plaquette spin systems with multi-stage relaxation
• Slow dynamics in critical ferromagnetic vector models relaxing from a magnetized initial state
• Dynamic fluctuations in unfrustrated systems: random walks, scalar fields and the Kosterlitz-Thouless phase
• Quantifying reversibility in a phase-separating lattice gas: an analogy with self-assembly
• Effective Confinement as Origin of the Equivalence of Kinetic Temperature and Fluctuation-Dissipation Ratio in a Dense Shear Driven Suspension
• Off-equilibrium relaxational dynamics with improved Ising Hamiltonian
• Numerical investigation of the aging of the Fully-Frustrated XY model
• Non-equilibrium critical dynamics of the two-dimensional Ashkin-Teller model at the Baxter line
• Universality in three-dimensional Ising spin glasses: Nonequilibrium dynamics from Monte Carlo simulations
• Physical ageing from generalised time-translation-invariance
• Fluctuations of two-time quantities and non-linear response functions
• Non-equilibrium critical properties of the Ising model on product graphs
• Aging and fluctuation-dissipation ratio in a nonequilibrium $q$-state lattice model
• Aging and stationary properties of non-equilibrium symmetrical three-state models