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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 228, Pages 203–216 (Mi tm501)  
This article is cited in 55 scientific papers (total in 55 papers)

Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic $XY$-chain

T. G. Hoab, H. Arakib

a Tokyo University of Science
b European Union Science and Technology Research Fellow
Full-text PDF (203 kB) Citations (55)
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Abstract: The system under consideration is that of a two-sided infinite isotropic $XY$-chain partitioned into two distinct regions. Each side is initially in thermal equilibrium. We investigate the situation when the partition is removed at time $t=0$. For $t\rightarrow\infty the system approaches thermal equilibrium if the two sides were at the same temperature. If initially the two sides were at different temperatures then the system approaches a steady state.
Received in September 1999
Bibliographic databases:
UDC: 531.19
Language: English
Citation: T. G. Ho, H. Araki, “Asymptotic Time Evolution of a Partitioned Infinite Two-sided Isotropic $XY$-chain”, Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 203–216; Proc. Steklov Inst. Math., 228 (2000), 191–204
Citation in format AMSBIB
\Bibitem{HoAra00}
\by T.~G.~Ho, H.~Araki
\paper Asymptotic Time Evolution of a~Partitioned Infinite Two-sided Isotropic $XY$-chain
\inbook Problems of the modern mathematical physics
\bookinfo Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 228
\pages 203--216
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm501}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782582}
\zmath{https://zbmath.org/?q=an:1034.82008}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 228
\pages 191--204
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    • This publication is cited in the following 55 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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