Numerical simulations of a two-dimensional lattice grain boundary model

Details Numerical simulations of a two-dimensional lattice grain boundary model Numerical simulations of a two-dimensional lattice grain boundary model

1997-10-22

arxiv.org/abs/cond-mat/9710236v1

Physica A, 252 (1998) 199

Physics

Condensed Matter

13 pages, Latex, 7 figures, to appear in Physica A

Scientific paper

We present detailed Monte Carlo results for a two-dimensional grain boundary model on a lattice. The effective Hamiltonian of the system results from the microscopic interaction of grains with orientations described by spins of unit length, and leads to a nearest-neighbour interaction proportional to the absolute value of the angle between the grains. Our analysis of the correlation length xi and susceptibility chi in the high-temperature phase favour a Kosterlitz-Thouless-like (KT) singularity over a second-order phase transition. Unconstrained KT fits of chi and xi confirm the predicted value for the critical exponent nu, while the values of eta deviate from the theoretical prediction. Additionally we apply finite-size scaling theory and investigate the question of multiplicative logarithmic corrections to a KT transition. As for the critical exponents our results are similar to data obtained from the XY model, so that both models probably lie in the same universality class.

Affiliated with

Also associated with

No associations

Rating

Numerical simulations of a two-dimensional lattice grain boundary model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical simulations of a two-dimensional lattice grain boundary model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical simulations of a two-dimensional lattice grain boundary model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-614792