Kinetics of domain growth in finite Ising strips

E.V. Albano, K. Binder, D.W. Heermann and W. Paul

Physica A: Statistical Mechanics and its Applications, 1992, vol. 183, issue 1, 130-147

Abstract: Monte Carlo simulations are presented for the kinetics of ordering of the two-dimensional nearest-neighbor Ising models in an L x M geometry with two free boundaries of length M ⪢ L. This geometry models a “terrace” of width L on regularly stepped surfaces, adatoms adsorbed on neighboring terraces being assumed to be noninteracting. Starting out with an initially random configuration of the atoms in the lattice gas at coverage θ = 12 in the square lattice, quenching experiments to temperatures in the range 0.85⩽T/Tc⩽1 are considered, assuming a dynamics of the Glauber model type (no conservation laws being operative). At Tc the ordering behavior can be described in terms of a time-dependent correlation length ξ(t), which grows with the time t after the quench as ξ(t)∼t1z with the dynamic exponent z≈2.1, until the correlation length settles down at its equilibrium value 2L/π (for correlations in the direction of the steps). Below Tc a two-stage growth is observed: in the first stage, the scattering intensity 〈m2(t)〉 grows linearly with time, as in the standard kinetic Ising model, until the domain size is of the same size as the terrace width. The further growth of 〈m2(t)〉 in the second stage is consistent with a logarithmic law.

Date: 1992
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719290181O
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:183:y:1992:i:1:p:130-147

DOI: 10.1016/0378-4371(92)90181-O

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().