2000/12/31 by Roberto Mulet, R. Mulet, A. Pagnani +3
Mathematics · Physics and Astronomy · #Quantum many-body systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.63.184438
published as Phys. Rev. B 63, (2001) 184438 · 13 pages, 8 eps figures. Several minor changes. References added. Published version
openalex publication_date 2001/04/24 · arxiv created 2001/05/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the temperature structure of the naive Thouless-Anderson-Palmer equations by means of a recursive algorithm. The problem of the chaos in temperature is addressed using the notion of the temperature evolution of equilibrium states. The lowest free energy states show relevant correlations with the ground state, and a careful finite size analysis indicates that these correlations are not finite size effects, ruling out the possibility of chaos in temperature even in the thermodynamic limit. The correlations of the equilibrium states with respect to the ground state are investigated. The performance of a heuristic algorithm for the search of ground states is also discussed.