Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 1, Pages 160–176
DOI: https://doi.org/10.4213/tmf6569 (Mi tmf6569) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Thermodynamics of the model of equal spin–spin interactions

A. A. Khamzina, R. R. Nigmatullinb

a Kazan State Power-Engineering University, Kazan, Russia
b Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (746 kB) Citations (4)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6569
Abstract: We consider the thermodynamics of the model of equal spin–spin interactions. We obtain exact expressions for the correlation functions and heat capacity of finite clusters applicable in the entire range of temperature and external fields. We analyze the obtained thermodynamic characteristics depending on the interaction parameters, the external magnetic field, and the number of particles in the cluster. We find an anomalous behavior of the heat capacity and other thermodynamic quantities due to elementary spin gap excitations occurring in the spectrum. The absence of a long-range order in the system is ensured by the presence of topological excitations (solitons). We study the effect of an anisotropic interaction parameter on the soliton structure.
Keywords: spin–spin interaction, thermodynamics, spin cluster, correlation function, heat capacity.
Received: 28.10.2009
Revised: 01.04.2010
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 1, Pages 1371–1386
DOI: https://doi.org/10.1007/s11232-010-0115-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Khamzin, R. R. Nigmatullin, “Thermodynamics of the model of equal spin–spin interactions”, TMF, 165:1 (2010), 160–176; Theoret. and Math. Phys., 165:1 (2010), 1371–1386
Citation in format AMSBIB
\Bibitem{KhaNig10}
\by A.~A.~Khamzin, R.~R.~Nigmatullin
\paper Thermodynamics of the~model of equal spin--spin interactions
\jour TMF
\yr 2010
\vol 165
\issue 1
\pages 160--176
\mathnet{http://mi.mathnet.ru/tmf6569}
\crossref{https://doi.org/10.4213/tmf6569}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...165.1371K}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 165
\issue 1
\pages 1371--1386
\crossref{https://doi.org/10.1007/s11232-010-0115-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000286399600010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78149472696}
Linking options:
  • https://www.mathnet.ru/eng/tmf6569
  • https://doi.org/10.4213/tmf6569
  • https://www.mathnet.ru/eng/tmf/v165/i1/p160
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:575
    Full-text PDF :255
    References:85
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024