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Calculation of Free Energy of the Integrable Landau-Lifshitz Model |
| CAI Cong-Zhong1,2;WANG Wan-Lu1;CHEN Yu-Zong1,2 |
| 1Department of Applied Physics, Chongqing University, Chongqing 400044
2Department of Computational Science, National University of Singapore, Singapore 117543 |
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| Cite this article: |
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CAI Cong-Zhong, WANG Wan-Lu, CHEN Yu-Zong 2003 Chin. Phys. Lett. 20 1009-1012 |
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Abstract The generalized Bethe-ansatz method of thermodynamic analysis of integrable systems was employed to compute the free energy of a classical integrable model, i.e., the Landau-Lifshitz model. Using the action-angle variables of the model and by imposing a periodic boundary condition, we derive a phase-shifted density of states for the excitations of the system. The free energy, in the thermodynamic limit, can be expressed analytic in terms of two coupled nonlinear integral equations of the finite temperature excited energy for effective phonons and kinks (antikinks). We solve these equations iteratively for a special case that the model is in the limit of anisotropic strong yz coupling.
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| Keywords:
05.70.Ce
05.45.Yv
05.90.+m
05.45.-a
02.70.Pt
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Published: 01 July 2003
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| PACS: |
05.70.Ce
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(Thermodynamic functions and equations of state)
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05.45.Yv
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(Solitons)
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05.90.+m
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(Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems)
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05.45.-a
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(Nonlinear dynamics and chaos)
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02.70.Pt
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(Boundary-integral methods)
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