Dynamic percolation transition induced by phase separation: a Monte Carlo analysis
The percolation transition of geometric clusters in the three-dimensional, simple cubic, nearest neighbor Ising lattice gas model is investigated in the temperature and concentration region inside the coexistence curve. The authors consider quenching experiments, where the system starts from an initially completely random configuration (corresponding to equilibrium at infinite temperature), letting the system evolve at the considered temperature according to the Kawasaki spin-exchange dynamics. Analyzing the distribution n/sub l/(t) of clusters of size l at time t, we find that after a time of the order of about 100 Monte Carlo steps per site a percolation transition occurs at a concentration distinctly lower than the percolation concentration of the initial random state. This dynamic percolation transition is analyzed with finite-size scaling methods. While at zero temperature, where the system settles down at a frozen-in cluster distribution and further phase separation stops, the critical exponents associated with this percolation transition are consistent with the universality class of random percolation, the critical behavior of the transient time-dependent percolation occurring at nonzero temperature possibly belongs to a different, new universality class.
- Research Organization:
- Institute fuer Physik, Mainz (Germany, F.R.)
- OSTI ID:
- 5371548
- Journal Information:
- J. Stat. Phys.; (United States), Vol. 49:5/6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ISING MODEL
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
COMPUTERIZED SIMULATION
CUBIC LATTICES
FERROMAGNETISM
GASES
PHASE DIAGRAMS
QUANTUM MECHANICS
QUENCHING
SCALING LAWS
SPIN
SPIN GLASS STATE
STATISTICAL MECHANICS
TEMPERATURE DEPENDENCE
TRANSITION TEMPERATURE
ANGULAR MOMENTUM
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
DIAGRAMS
FLUIDS
MAGNETISM
MATHEMATICAL MODELS
MECHANICS
PARTICLE PROPERTIES
PHYSICAL PROPERTIES
SIMULATION
THERMODYNAMIC PROPERTIES
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
656002 - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)