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arXiv · 1809.02243

Nucleation for one-dimensional long-range Ising models

Aenout C. D. van Enter·Bruno Kimura·Wioletta Ruszel·Cristian Spitoni
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Abstract

In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration -1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying interaction) and we show that the critical droplet can be macroscopic or mesoscopic, according to the value of the external magnetic field.

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Aenout C. D. van Enter, Bruno Kimura, Wioletta Ruszel, Cristian Spitoni. 2018-09-06. Nucleation for one-dimensional long-range Ising models. https://doi.org/10.1007/s10955-019-02238-y

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