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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 43, Number 2, Pages 253–260 (Mi tmf3219)  

This article is cited in 20 scientific papers (total in 20 papers)

Absence of phase transitions in one-dimensional long-range spin systems with random Hamiltonian

K. M. Khanin
References:
Abstract: Classical lattice one-dimensional systems with random Hamiltonians $H=\dfrac\beta2\sum\limits_{x_1\ne x_2}\dfrac{\varepsilon(x_1,x_2)\varphi(x_1)\varphi(x_2)}{|x_1-x_2|^\alpha}$ are considered, where $\varepsilon(x_1,x_2)$ are independent random variables for different pairs $(x_1,x_2)$, $E\varepsilon(x_1,x_2)=0$. It is shown that with probability 1 such a system has no phase transition, provided $\alpha>3/2$.
Received: 31.01.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 43, Issue 2, Pages 445–449
DOI: https://doi.org/10.1007/BF01018398
Bibliographic databases:
Language: Russian
Citation: K. M. Khanin, “Absence of phase transitions in one-dimensional long-range spin systems with random Hamiltonian”, TMF, 43:2 (1980), 253–260; Theoret. and Math. Phys., 43:2 (1980), 445–449
Citation in format AMSBIB
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\by K.~M.~Khanin
\paper Absence of~phase transitions in~one-dimensional long-range spin systems with random Hamiltonian
\jour TMF
\yr 1980
\vol 43
\issue 2
\pages 253--260
\mathnet{http://mi.mathnet.ru/tmf3219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=576859}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 43
\issue 2
\pages 445--449
\crossref{https://doi.org/10.1007/BF01018398}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KU57800008}
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  • https://www.mathnet.ru/eng/tmf/v43/i2/p253
  • This publication is cited in the following 20 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
     
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