Short-time dynamics in phase-ordering kinetics

Abstract

Short-time dynamics in the $2D$ Blume-Capel model, with a non-conserved order-parameter and short-ranged interactions, is analysed. For non-equilibrium dynamics, both at a critical point in the $2D$ Ising universality class and at the tricritical point, we reproduce the values $\Theta =0.190(5)$ and $\Theta =-0.542(5)$, respectively, of the critical initial slip exponent. These agree with more early estimates and with the Janssen-Schaub-Schmittmann scaling relation. In phase-ordering kinetics, after a quench into the ordered phase, we establish the validity of short-time dynamics. In the $2D$ Ising universality class, we find $\Theta =0.39(1)$ in agreement with the scaling relation $\lambda =d-2\Theta$.

Latex 2e, 1+24 pages, 11 figures, 1 table. Final form

References in corpus (34)

• Local scale-invariance and ageing in noisy systems
• Classical simulation of short-time quantum dynamics
• Ageing phenomena without detailed balance: the contact process
• Quantitative analysis of non-equilibrium systems from short-time experimental data
• Memory and rejuvenation in spin glasses: aging systems are ruled by more than one length scale
• Ageing in the critical contact process: a Monte Carlo study
• Critical and tricritical singularities from small-scale Monte Carlo simulations: The Blume-Capel model in two dimensions
• Schrödinger symmetry: a historical review
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Ising universality in the two-dimensional Blume-Capel model with quenched random crystal field
• Monte Carlo studies of the Blume-Capel model on nonregular two- and three-dimensional lattices: Phase diagrams, tricriticality, and critical exponents
• Nonequilibrium scaling explorations on a 2D Z(5)-symmetric model
• Time-dependent Monte Carlo simulations of the critical and Lifshitz points of the ANNNI model
• Alternative description of the 2D Blume-Capel model using Grassmann algebra
• Critical dynamical behavior of the Ising model
• Tricriticality and finite-size scaling in the triangular Blume-Capel ferromagnet
• Coarsening and metastability of the long-range voter model in three dimensions
• Spin glass experiments
• The role of initial conditions in the ageing of the long-range spherical model
• The tricritical Ising CFT and conformal bootstrap
• Non-universality of aging during phase separation of the two-dimensional long-range Ising model
• Physical ageing from generalised time-translation-invariance
• Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models
• Blume-Capel model analysis with microcanonical population annealing method
• Numerical Simulation of a Two-Dimensional Blume-Capel Ferromagnet in an Oscillating Magnetic Field with a Constant Bias
• Transfer-matrix approach to the Blume-Capel model on the triangular lattice
• Numerical exploration of the Aging effects in spin systems
• First numerical evidence of Janssen-Oerding's prediction in a three-dimensional spin model far from equilibrium
• Correlators in phase-ordering from Schrödinger-invariance
• Universal Quench Dynamics of an Open Quantum System
• Nonperturbative treatment of a quenched Langevin field theory
• Phase transition properties via partition function zeros: The Blume-Capel ferromagnet revisited
• Critical ageing correlators from Schrödinger-invariance
• Short-time simulation of quantum dynamics by Pauli measurements