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Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics

In this paper, we review non-extensive statistics (Tsallis conjecture), and continue by analyzing thermodynamic properties and critical behaviors of systems which follow this statistics. Following that, we present a suitable algorithm in Monte Carlo method (Metropolis algorithm) to simulate spin sys...

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Main Authors: Bolandhemat, Najmeh, Rahman, Md. Mahmudur
Format: Article
Language:English
Published: American Scientific Publishers 2015
Online Access:http://psasir.upm.edu.my/id/eprint/46727/1/Thermodynamics%20and%20critical%20behaviors%20of%20long-range%20interacting%20magnetic%20system%20using%20tsallis%20non-extensive%20statistics.pdf
http://psasir.upm.edu.my/id/eprint/46727/
http://www.aspbs.com/ctn.html
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spelling my.upm.eprints.467272018-04-23T02:00:53Z http://psasir.upm.edu.my/id/eprint/46727/ Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics Bolandhemat, Najmeh Rahman, Md. Mahmudur In this paper, we review non-extensive statistics (Tsallis conjecture), and continue by analyzing thermodynamic properties and critical behaviors of systems which follow this statistics. Following that, we present a suitable algorithm in Monte Carlo method (Metropolis algorithm) to simulate spin systems with long-range interactions according to the Hamiltonian of Ising model in Tsallis statistics with suitable boundary conditions. In conclusion, we proceed to analyze thermodynamic properties related to this system and compare obtained results such as magnetization, internal energy, specific heat and magnetic susceptibility to known results in short-range systems in Boltzmann-Gibbs statistics. American Scientific Publishers 2015-03 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/46727/1/Thermodynamics%20and%20critical%20behaviors%20of%20long-range%20interacting%20magnetic%20system%20using%20tsallis%20non-extensive%20statistics.pdf Bolandhemat, Najmeh and Rahman, Md. Mahmudur (2015) Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics. Journal of Computational and Theoretical Nanoscience, 12 (3). pp. 464-467. ISSN 1546-1955; ESSN: 1546-1963 http://www.aspbs.com/ctn.html 10.1166/jctn.2015.3753
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description In this paper, we review non-extensive statistics (Tsallis conjecture), and continue by analyzing thermodynamic properties and critical behaviors of systems which follow this statistics. Following that, we present a suitable algorithm in Monte Carlo method (Metropolis algorithm) to simulate spin systems with long-range interactions according to the Hamiltonian of Ising model in Tsallis statistics with suitable boundary conditions. In conclusion, we proceed to analyze thermodynamic properties related to this system and compare obtained results such as magnetization, internal energy, specific heat and magnetic susceptibility to known results in short-range systems in Boltzmann-Gibbs statistics.
format Article
author Bolandhemat, Najmeh
Rahman, Md. Mahmudur
spellingShingle Bolandhemat, Najmeh
Rahman, Md. Mahmudur
Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
author_facet Bolandhemat, Najmeh
Rahman, Md. Mahmudur
author_sort Bolandhemat, Najmeh
title Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
title_short Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
title_full Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
title_fullStr Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
title_full_unstemmed Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
title_sort thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics
publisher American Scientific Publishers
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/46727/1/Thermodynamics%20and%20critical%20behaviors%20of%20long-range%20interacting%20magnetic%20system%20using%20tsallis%20non-extensive%20statistics.pdf
http://psasir.upm.edu.my/id/eprint/46727/
http://www.aspbs.com/ctn.html
_version_ 1643833819346763776
score 13.211869

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