Dynamics of ordering of Heisenberg spins with torque: Nonconserved case

Jayajit Das and Madan Rao
Phys. Rev. E 57, 5069 – Published 1 May 1998
PDFExport Citation

Abstract

We study the dynamics of ordering of a nonconserved Heisenberg magnet. The dynamics consists of two parts — an irreversible dissipation into a heat bath and a reversible precession induced by a torque due to the local molecular field. For quenches to zero temperature, we provide convincing arguments, both numerically (Langevin simulation) and analytically (approximate closure scheme due to Mazenko), that the torque is irrelevant at late times. We subject the Mazenko closure scheme to systematic numerical tests. Such an analysis, carried out on a vector order parameter, shows that the closure scheme performs respectably well. For quenches to Tc, we show, to O(ε2), that the torque is irrelevant at the Wilson-Fisher fixed point.

  • Received 26 September 1997

DOI:https://doi.org/10.1103/PhysRevE.57.5069

©1998 American Physical Society

Authors & Affiliations

Jayajit Das* and Madan Rao

  • Institute of Mathematical Sciences, Taramani, Madras 600113, India

  • *Electronic address: jayajit@imsc.ernet.in
  • Electronic address: madan@imsc.ernet.in

References (Subscription Required)

Click to Expand
Issue

Vol. 57, Iss. 5 — May 1998

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×