The role of symmetry in the short-time critical dymamics

Abstract

We show that the short-time critical exponent $\theta$ related to the critical initial slip in a stochastic model can be determined by the time correlation of the order parameter. In our procedure it suffices to start with an uncorrelated state with zero order parameter instead of departing, as usually done, from an initial state with a nonzero order parameter. The proof uses the group of symmetry operations related to the Markovian dynamics. Our scheme is extended to cover models with absorbing states.

arXiv comment11 pages, submited to J. Phys. A

References in corpus (8)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Generalized Dynamic Scaling for Critical Magnetic Systems
• Monte Carlo Simulation of Universal Short-Time Behavior in Critical Relaxation
• Short-time Critical Dynamics of the 3-Dimensional Ising Model
• Short time dynamics of a two dimensional majority vote model
• Short-time critical dynamics of the Baxter-Wu model
• Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity
• Short-Time Dynamics of an Ising Model with Competing Interactions

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• A comparative study of the dynamic critical behavior of the four-state Potts like models
• Aging and equilibration in bistable contagion dynamics
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