A new formalism for the statistical dynamics of planar spin systems |
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| Authors: | Kamlesh Kumari Deepak Kumar |
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| Institution: | (1) Department of Physics, University of Roorkee, 247 667 Roorkee, India;(2) School of Physical Sciences, Jawaharlal Nehru University, 110 067 New Delhi, India |
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| Abstract: | The relaxational dynamics of a classical planar Heisenberg spin system is studied using the Fokker-Planck equation. A new
approach is introduced in which we attempt to directly calculate the eigenvalues of the Fokker-Planck operator. In this connection
a number space representation is introduced, which enables us to visualize the eigenvalue structure of the Fokker-Planck operator.
The mean field approximation is derived and a systematic method to improve the mean field approximation is presented. |
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| Keywords: | Relaxational dynamics planar Heisenberg model Fokker-Planck equation mean field approximation critical slowing-down |
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