Generalized Dynamic Scaling for Critical Relaxations

Abstract

The dynamic relaxation process for the two dimensional Potts model at criticality starting from an initial state with very high temperature and arbitrary magnetization is investigated with Monte Carlo methods. The results show that there exists universal scaling behaviour even in the short-time regime of the dynamic evolution. In order to describe the dependence of the scaling behaviour on the initial magnetization, a critical characteristic function is introduced.

Latex, 8 pages, 3 figures, to appear in Phys. Rev. Lett

References in corpus (9)

• Theory of Phase Ordering Kinetics
• Dynamic Monte Carlo Measurement of Critical Exponents
• The short-time Dynamics of the Critical Potts Model
• Monte Carlo Simulation of Universal Short-Time Behavior in Critical Relaxation
• Universality and Scaling in Short-time Critical Dynamics
• Finite Size Scaling and Critical Exponents in Critical Relaxation
• Determination of the Critical Point and Exponents from short-time Dynamics
• Universal Short-Time Behavior in Critical Dynamics near Surfaces
• Universal Short-Time Dynamics in the Kosterlitz-Thouless Phase

Cited by in corpus (28)

• Generalized Dynamic Scaling for Critical Magnetic Systems
• Universality and Scaling in Short-time Critical Dynamics
• Short time dynamics of a two dimensional majority vote model
• Theory of Driven Nonequilibrium Critical Phenomena
• Critical aging of a ferromagnetic system from a completely ordered state
• Monte Carlo Simulation of the Short-time Behaviour of the Dynamic XY Model
• Hybridized Kibble-Zurek scaling in the driven critical dynamics across an overlapping critical region
• Short-time dynamics and magnetic critical behavior of two-dimensional random-bond Potts model
• Kibble-Zurek mechanism beyond adiabaticity: Finite-time scaling with critical initial slip
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Universal short time quantum critical dynamics of finite size systems
• Monte Carlo Simulations of Short-time Critical Dynamics with a Conserved Quantity
• Generalized dynamic scaling for quantum critical relaxation in imaginary time
• Scaling Theories of Kosterlitz-Thouless Phase Transitions
• Microscopic Non-Universality versus Macroscopic Universality in Algorithms for Critical Dynamics
• Monte Carlo Simulations of Critical Dynamics with Conserved Order Parameter
• Dual dynamic scaling in deconfined quantum criticality
• Universal imaginary-time critical dynamics on a quantum computer
• Short-imaginary-time quantum critical dynamics in the J-Q${}_3$ spin chain
• Aging and fluctuation-dissipation ratio in a nonequilibrium $q$-state lattice model
• A generalized voter model with time-decaying memory on a multilayer network
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Theory of Critical Phenomena with Long-Range Temporal Interaction
• Imaginary-time relaxation quantum critical dynamics in two-dimensional dimerized Heisenberg model
• Relaxation Critical Dynamics in Measurement-induced Phase Transitions
• Imaginary-time Quantum Relaxation Critical Dynamics with Semi-ordered Initial States
• Short-time critical dynamics in the classical cubic dimer model
• Probing universal imaginary-time relaxation critical dynamics with infinite projected entangled pair states