English

Dynamics of a mean spherical model with competing interactions

Soft Condensed Matter 2009-11-11 v3

Abstract

The Langevin dynamics of a dd-dimensional mean spherical model with competing interactions along mdm\leq d directions of a hypercubic lattice is analysed. After a quench at high temperatures, the dynamical behaviour is characterized by two distinct time scales associated with stationary and aging regimes. The asymptotic expressions for the autocorrelation and response functions, in supercritical, critical, and subcritical cases, were calculated. Aging effects, which are known to be present in the ferromagnetic version of this model system, are not affected by the introduction of competing interactions.

Keywords

Cite

@article{arxiv.cond-mat/0512286,
  title  = {Dynamics of a mean spherical model with competing interactions},
  author = {M. O. Hase and S. R. Salinas},
  journal= {arXiv preprint arXiv:cond-mat/0512286},
  year   = {2009}
}
R2 v1 2026-07-22T11:26:28.221Z