Metastability in the Potts model on the Cayley tree |
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| Authors: | F S de Aguiar L B Bernardes S Goulart Rosa Jr |
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| Institution: | (1) Departamento de Física, Universidade Federal do Amazonas, 69000 Manaus AM, Brazil;(2) Instituto de Física e Química de São Carlos, Universidade de São Paulo, 13560 São Carlos SP, Brazil |
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| Abstract: | Metastability in the ferromagneticp-state Potts model defined on the Cayley tree is discussed. It is shown that the sign of the boundary fieldH
s
determines the order of the transition as well as the stability of the low-temperature phase. Lowering the temperature withH
s
>0, a system withp<2 (p>2) will display a second (first)-order transition to a metastable (stable) phase. ForH
s
>0 a second (first)-order transition to a metastable (stable) phase occurs ifp>2 (p<2). In this case the system also has a residual entropy which is negative forp<2. |
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| Keywords: | Bethe-Peierls and Bragg-Williams maps boundary condition metastability residual entropy |
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