Slow interaction dynamics in the spherical spin-glass model

E. Nogueira and J.F. Fontanari

Physica A: Statistical Mechanics and its Applications, 2003, vol. 329, issue 3, 365-370

Abstract: A surprising physical interpretation of the replica number n was unveiled in the study of the equilibrium properties of the coupled dynamics of fast Ising spins and slow interactions: n is the ratio of the characteristic temperatures of the spin and the interaction systems and can take on any positive or negative real value, depending on the choice of the coupling dynamics. Here we investigate analytically the thermodynamics of the spherical spin-glass model for general n and derive explicit equations for the transition lines separating the replica symmetric, replica symmetry broken and paramagnetic phases.

Keywords: Random systems; Spin glass; Phase transitions (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437103005727
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:329:y:2003:i:3:p:365-370

DOI: 10.1016/S0378-4371(03)00572-7

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 ().