Short-time dynamics of an Ising system on fractal structures

Journal Article · Wed Nov 01 04:00:00 EST 2000 · Physical Review E

DOI:https://doi.org/10.1103/PhysRevE.62.6253· OSTI ID:40205402

Zheng, Guang-Ping; Li, Mo

The short-time critical relaxation of an Ising model on a Sierpinski carpet is investigated using Monte Carlo simulation. We find that when the system is quenched from high temperature to the critical temperature, the evolution of the order parameter and its persistence probability, the susceptibility, and the autocorrelation function all show power-law scaling behavior at the short-time regime. The results suggest that the spatial heterogeneity and the fractal nature of the underlying structure do not influence the scaling behavior of the short-time critical dynamics. The critical temperature, dynamic exponent z, and other equilibrium critical exponents {beta} and {nu} of the fractal spin system are determined accurately using conventional Monte Carlo simulation algorithms. The mechanism for short-time dynamic scaling is discussed.

• Sponsoring Organization: (US)
• OSTI ID: 40205402
• Journal Information: Physical Review E, Journal Name: Physical Review E Journal Issue: 5 Vol. 62; ISSN 1063-651X
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
ALGORITHMS
CRITICAL TEMPERATURE
FRACTALS
ISING MODEL
ORDER PARAMETERS
PROBABILITY
RELAXATION
SIMULATION
SPIN