Temperature Chaos in Some Spherical Mixed p-Spin Models
نویسندگان
چکیده
منابع مشابه
Against Chaos in Temperature in Mean Field Spin Glass Models
We study the problem of chaos in temperature in some mean-field spin-glass models by means of a replica computation over a model of coupled systems. We propose a set of solutions of the saddle point equations which are intrinsically non-chaotic and solve a general problem regarding the consistency of their structure. These solutions are relevant in the case of uncoupled systems too, therefore t...
متن کاملThe Aizenman-Sims-Starr scheme and Parisi formula for mixed p-spin spherical models
The Parisi formula for the free energy in the spherical models with mixed even p-spin interactions was proven in Michel Talagrand [16]. In this paper we study the general mixed p-spin spherical models including p-spin interactions for odd p. We establish the Aizenman-Sims-Starr scheme and from this together with many well-known results and Dmitry Panchenko’s recent proof on the Parisi ultrametr...
متن کاملThe Quantum Spherical p-Spin-Glass Model
We study a quantum extension of the spherical p-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the solution. The phase diagram and the physical properties of the system are determined in two ways: by imposing the usual conditions of thermodynamic equilibrium and ...
متن کاملTemperature chaos in a replica symmetry broken spin glass model - A hierarchical model with temperature chaos
– Temperature chaos is an extreme sensitivity of the equilibrium state to a change of temperature. It arises in several disordered systems that are described by the so called scaling theory of spin glasses, while it seems to be absent in mean field models. We consider a model spin glass on a tree and show that although it has mean field behavior with replica symmetry breaking, it manifestly has...
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: 2016
ISSN: 0022-4715,1572-9613
DOI: 10.1007/s10955-016-1709-3