English

Conserved Ordering Dynamics of Heisenberg Spins with Torque

Statistical Mechanics 2007-05-23 v1

Abstract

We show that a torque induced by the local molecular field drives the zero-temperature ordering dynamics of a conserved Heisenberg magnet to a new fixed point, characterised by exponents z=2 and λ5.15\lambda \approx 5.15. Numerical solutions of the Langevin equation indicate that theories using a Gaussian closure are inconsistent even when the torque is absent. The torque is relevant even for quenches to T_c, with exponents z=4ϵ/2z=4-\epsilon/2 and λ=d\lambda = d (where ϵ=6d\epsilon = 6-d). Indeed λ\lambda is always equal to d for quenches to T_c whenever the order parameter is conserved.

Keywords

Cite

@article{arxiv.cond-mat/9903041,
  title  = {Conserved Ordering Dynamics of Heisenberg Spins with Torque},
  author = {Jayajit Das and Madan Rao},
  journal= {arXiv preprint arXiv:cond-mat/9903041},
  year   = {2007}
}

Comments

4 pages, 4 eps figures. Submitted to Physical Review E