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Nucleation for One-Dimensional Long-Range Ising Models. / van Enter, Aernout C.D.; Kimura, Bruno; Ruszel, Wioletta; Spitoni, Cristian.

In: Journal of Statistical Physics, Vol. 174, No. 6, 2019, p. 1327-1345.

Research output: Contribution to journalArticleScientificpeer-review

Harvard

van Enter, ACD, Kimura, B, Ruszel, W & Spitoni, C 2019, 'Nucleation for One-Dimensional Long-Range Ising Models', Journal of Statistical Physics, vol. 174, no. 6, pp. 1327-1345. https://doi.org/10.1007/s10955-019-02238-y

APA

van Enter, A. C. D., Kimura, B., Ruszel, W., & Spitoni, C. (2019). Nucleation for One-Dimensional Long-Range Ising Models. Journal of Statistical Physics, 174(6), 1327-1345. https://doi.org/10.1007/s10955-019-02238-y

Vancouver

van Enter ACD, Kimura B, Ruszel W, Spitoni C. Nucleation for One-Dimensional Long-Range Ising Models. Journal of Statistical Physics. 2019;174(6):1327-1345. https://doi.org/10.1007/s10955-019-02238-y

Author

van Enter, Aernout C.D. ; Kimura, Bruno ; Ruszel, Wioletta ; Spitoni, Cristian. / Nucleation for One-Dimensional Long-Range Ising Models. In: Journal of Statistical Physics. 2019 ; Vol. 174, No. 6. pp. 1327-1345.

BibTeX

@article{7c3b433c90db40f9b79d2fd04da525ac,
title = "Nucleation for One-Dimensional Long-Range Ising Models",
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 might be macroscopic or mesoscopic, according to the value of the external magnetic field.",
keywords = "Long-range Ising model, Metastability, Nucleation",
author = "{van Enter}, {Aernout C.D.} and Bruno Kimura and Wioletta Ruszel and Cristian Spitoni",
year = "2019",
doi = "10.1007/s10955-019-02238-y",
language = "English",
volume = "174",
pages = "1327--1345",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer",
number = "6",

}

RIS

TY - JOUR

T1 - Nucleation for One-Dimensional Long-Range Ising Models

AU - van Enter, Aernout C.D.

AU - Kimura, Bruno

AU - Ruszel, Wioletta

AU - Spitoni, Cristian

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Long-range Ising model

KW - Metastability

KW - Nucleation

UR - http://www.scopus.com/inward/record.url?scp=85061748587&partnerID=8YFLogxK

U2 - 10.1007/s10955-019-02238-y

DO - 10.1007/s10955-019-02238-y

M3 - Article

AN - SCOPUS:85061748587

VL - 174

SP - 1327

EP - 1345

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 6

ER -

ID: 51682220