Ordering kinetics in quasi-one-dimensional Ising-like systems

Journal Article · Fri Oct 01 04:00:00 EDT 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01052758· OSTI ID:7206862

Mueller, M; Paul, W ^[1]

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1. Johannes Gutenberg Universitaet, Mainz (Germany)

Results are presented of a Monte Carlo simulation of the kinetics of ordering in the two-dimensional nearest-neighbor Ising model in an L x M geometry with two free boundaries of length M [much gt] L. This model can be viewed as representing an adsorbant on a stepped surface with mean terrace width L. The authors follow the ordering kinetics after quenches to temperatures 0.25 [le]T/T[sub c][le]1 starting from a random initial configuration at a coverage of [Theta]=0.5 in the corresponding lattice gas picture. The systems evolve in time according to a Glauber kinetics with nonconserved order parameter. The equilibrium structure is given by a one-dimensional sequence of ordered domains. The ordering process evolves from a short initial two-dimensional ordering process through a crossover region to a quasi-one-dimensional behavior. The whole process is diffusive (inverse half-width of the structure factor peak 1/[Delta]q[sub [parallel]] [proportional to] [radical]t), in contrast to a model proposed by Kawasaki et al., where an intermediate logarithmic growth law is expected. All results are completely describable in the picture of an annihilating random walk (ARW) of domain walls. 36 refs., 16 figs.

• OSTI ID: 7206862
• Journal Information: Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 73:1-2; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CRYSTAL MODELS
GLAUBER THEORY
ISING MODEL
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
ONE-DIMENSIONAL CALCULATIONS
PARTICLE KINEMATICS
STATISTICAL MECHANICS
STOCHASTIC PROCESSES
TWO-DIMENSIONAL CALCULATIONS