Calculation of Order Parameter and Critical Exponents of the Spin Glass in the Frame of Edwards-Anderson Model

Dmitrii Kapitan; Alexey Rybin; Petr Dmitrievich Andriushchenko; Vitalii Kapitan; Egor V. Vasiliev; Konstantin Nefedev

doi:10.4028/www.scientific.net/SSP.312.251

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Calculation of Order Parameter and Critical Exponents of the Spin Glass in the Frame of Edwards-Anderson Model

Abstract:

It is well known that critical phenomena occur in condensed matter under certain conditions, when an abrupt change in its properties occurs. In the vicinity of critical points, various phenomena may arise. The critical region can be described by a set of state parameters (order parameters), which allow one to obtain information about the anomalous behavior of thermodynamic averages, internal processes, and the nature of the objects of study. The abnormal nonlinear behavior of state parameters is described by critical exponents. In this article, we considered spin glass on the example of the Edwards-Anderson model. For the simulation, the replica-exchange Monte-Carlo method was used. Critical exponents were obtained to describe the behavior of the model in the critical region.

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Solid State Phenomena (Volume 312)

Pages:

251-255

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.312.251

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Online since:

November 2020

Authors:

Dmitrii Kapitan*, Alexey Rybin, Petr Dmitrievich Andriushchenko, Vitalii Kapitan, Egor V. Vasiliev, Konstantin Nefedev

Keywords:

Clustering Order Parameter, Critical Exponents, Edwards-Anderson Model, Replica-Exchange Algorithm

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