Nucleation for One-Dimensional Long-Range Ising Modelsvan Enter, A. C. D., Kimura, B., Ruszel, W. & Spitoni, C., 30-Mar-2019, In : Journal of Statistical Physics. 174, 6, p. 1327-1345 19 p.
Research output: Contribution to journal › Article › Academic › peer-review
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 might be macroscopic or mesoscopic, according to the value of the external magnetic field.
|Number of pages||19|
|Journal||Journal of Statistical Physics|
|Publication status||Published - 30-Mar-2019|
- Metastability, Long-range Ising model, Nucleation, METASTABILITY, DYNAMICS, STATES