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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| Format: | Article |
| Language: | English |
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American Scientific Publishers
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/46727/ 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 |
| _version_ | 1848850725752274944 |
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| author | Bolandhemat, Najmeh Rahman, Md. Mahmudur |
| author_facet | Bolandhemat, Najmeh Rahman, Md. Mahmudur |
| author_sort | Bolandhemat, Najmeh |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:10:51Z |
| format | Article |
| id | upm-46727 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:10:51Z |
| publishDate | 2015 |
| publisher | American Scientific Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Bolandhemat, Najmeh Rahman, Md. Mahmudur Thermodynamics and critical behaviors of long-range interacting magnetic system using tsallis non-extensive statistics |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/46727/ http://psasir.upm.edu.my/id/eprint/46727/ http://psasir.upm.edu.my/id/eprint/46727/ 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 |