scholarly journals Applications of the stochastic Ising model to the Gibbs states

1976 ◽  
Vol 48 (3) ◽  
pp. 249-265 ◽  
Author(s):  
Richard A. Holley ◽  
Daniel W. Stroock
Keyword(s):  
Ising Model ◽  
Gibbs States ◽  
Stochastic Ising Model

scholarly journals The metastable behavior of the three-dimensional stochastic Ising model I

1997 ◽  
Vol 40 (8) ◽  
pp. 832-842 ◽  
Author(s):  
Dayue Chen ◽  
Jianfeng Feng ◽  
Minping Qian
Keyword(s):  
Ising Model ◽  
Three Dimensional ◽  
Stochastic Ising Model

The metastable behavior of the three-dimensional stochastic Ising model (II)

1997 ◽  
Vol 40 (11) ◽  
pp. 1129-1135 ◽  
Author(s):  
Dayue Chen ◽  
Jianfeng Feng ◽  
Minping Qian
Keyword(s):  
Ising Model ◽  
Three Dimensional ◽  
Stochastic Ising Model

Forest Dynamics with Canopy Gap Expansion and Stochastic Ising Model

Fractals ◽  
1998 ◽  
Vol 06 (01) ◽  
pp. 81-86 ◽  
Author(s):  
Makoto Katori ◽  
Shinya Kizaki ◽  
Youichi Terui ◽  
Takuya Kubo
Keyword(s):  
Ising Model ◽  
Forest Dynamics ◽  
Ecological Study ◽  
Gibbs State ◽  
Canopy Gap ◽  
Barro Colorado Island ◽  
Gap Size ◽  
Stochastic Ising Model ◽  
Neotropical Forest ◽  
Gap Creation

Importance of the influence of neighboring canopy gaps upon new gap creation has been clarified by the ecological study of a neotropical forest on Barro Colorado Island (BCI), Panama. A stochastic lattice model for the forest dynamics with interacting canopy gap expansion was introduced by Kubo et al. We give a theorem showing a condition that this model can be regarded as a stochastic Ising model, and that its stationary state is exactly given by a Gibbs state. Using this theorem, we obtain a Gibbs state which remarkably well approximates the real gap-size distribution in BCI.

scholarly journals Spectral Analysis of a Stochastic Ising Model in Continuum

2007 ◽  
Vol 129 (1) ◽  
pp. 121-149 ◽  
Author(s):  
Yu. Kondratiev ◽  
E. Zhizhina
Keyword(s):  
Spectral Analysis ◽  
Ising Model ◽  
Stochastic Ising Model

Følner Independence and the amenable Ising model

1992 ◽  
Vol 12 (4) ◽  
pp. 633-657 ◽  
Author(s):  
Scot Adams
Keyword(s):  
Ising Model ◽  
Stationary Process ◽  
Amenable Group ◽  
Gibbs States ◽  
Følner Sets

AbstractWe define a criterion called Følner Independence for a stationary process over an amenable group. Intuitively, a process satisfies the criterion if, for sufficiently invariant Følner sets, the process in the Følner set is nearly independent of the process outside. We show that Følner Independence implies Finitely Determined. As an application, we show that, in its extreme Gibbs states, the amenable attractive Ising model is Følner Independent (hence Finitely Determined, hence Bernoulli).

scholarly journals Quasi-polynomial mixing of the 2D stochastic Ising model with “plus” boundary up to criticality

2013 ◽  
Vol 15 (2) ◽  
pp. 339-386 ◽  
Author(s):  
Eyal Lubetzky ◽  
Fabio Martinelli ◽  
Allan Sly ◽  
Fabio-Lucio Toninelli
Keyword(s):  
Ising Model ◽  
Stochastic Ising Model
Sign in / Sign up

Export Citation Format

Share Document