Statistical Mechanics of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>XY</mi></math></span> Model. I

Eytan Barouch; Barry M. McCoy; Max Dresden

doi:10.1103/PhysRevA.2.1075

Statistical Mechanics of the $XY$ Model. I

Eytan Barouch, Barry M. McCoy, and Max Dresden

Phys. Rev. A 2, 1075 – Published 1 September 1970

Abstract

The Liouville equation for the $XY$ model is solved exactly, and the magnetization is computed explicitly. Nonergodic behavior of the magnetization is found for a general class of time-dependent magnetic fields.

Received 10 February 1970

DOI:https://doi.org/10.1103/PhysRevA.2.1075

Authors & Affiliations

Eytan Barouch^*

IBM Watson Laboratory, Columbia University, New York, New York 10025
Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11790

Barry M. McCoy and Max Dresden^†

Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11790

^*Present address: Department of Mathematics, M.I.T., Cambridge, Mass. 02139.
^†Supported in part by U. S. Atomic Energy Commission, under Contract No. AT(30-1)-3668A.

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Vol. 2, Iss. 3 — September 1970

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