Disorder Chaos in the Spherical Mean-Field Model
نویسندگان
چکیده
منابع مشابه
On the mean-field spherical model
Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical result allows for an exact discussion of the loci of the Fisher zeros of the canonical partition function. The microcanonical entropy is found to be nonanaly...
متن کاملChaos and Statistical Mechanics in the Hamiltonian Mean Field model
We study the dynamical and statistical behavior of the Hamiltonian Mean Field (HMF) model in order to investigate the relation between microscopic chaos and phase transitions. HMF is a simple toy model of N fully-coupled rotators which shows a second order phase transition. The canonical thermodynamical solution is briefly recalled and its predictions are tested numerically at finite N . The Vl...
متن کاملOn chaos in mean field spin glasses
We study the correlations between two equilibrium states of SK spin glasses at different temperatures or magnetic fields. The question, presiously investigated by Kondor and Kondor and Végsö, is approached here constraining two copies of the same system at different external parameters to have a fixed overlap. We find that imposing an overlap different from the minimal one implies an extensive ...
متن کاملQuenched complexity of the mean-field p-spin spherical model with external magnetic field
We consider the p-spin spherical spin-glass model in the presence of an external magnetic field as a general example of a mean-field system where a one-step replica symmetry breaking (1-RSB) occurs. In this context we compute the complexity of the Thouless–Anderson– Palmer states, performing a quenched computation. We find what the general connection is between this method and the standard stat...
متن کاملMean field theory of spherical gravitating systems
Important gaps remain in our understanding of the thermodynamics and statistical physics of self-gravitating systems. Using mean field theory, here we investigate the equilibrium properties of several spherically symmetric model systems confined in a finite domain consisting of either point masses or rotating mass shells of different dimension. We establish a direct connection between the spher...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2015
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-015-1264-3