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A study of metastability in the Ising model (1974)

Capocaccia, D. ; Cassandro, M. ; Olivieri, E.

Springer

Communications in mathematical physics 39 (1974), S. 185-205

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We consider a two-dimensional Ising ferromagnet with (+) boundary conditions and negative external field, where a Markovian time evolution is assumed. We construct, suitably restricting the allowed configurations att=0, a non equilibrium state with positive magnetization such that: 1) only one phase is present, 2) the relaxation time for unit volume is finite and can be made very large. These results are obtained following a general method for describing metastable states proposed by Lebowitz and Penrose and exploiting the analysis of the Ising-spin-configurations in terms of contours given by Minlos and Sinai.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01614240

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