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 -