Back to Search
Start Over
Glauber dynamics of 2D Kac–Blume–Capel model and their stochastic PDE limits.
- Source :
-
Journal of Functional Analysis . Sep2018, Vol. 275 Issue 6, p1321-1367. 47p. - Publication Year :
- 2018
-
Abstract
- We study the Glauber dynamics of a two dimensional Blume–Capel model (or dilute Ising model) with Kac potential parametrized by ( β , θ ) – the “inverse temperature” and the “chemical potential”. We prove that the locally averaged spin field rescales to the solution of the dynamical Φ 4 equation near a curve in the ( β , θ ) plane and to the solution of the dynamical Φ 6 equation near one point on this curve. Our proof relies on a discrete implementation of Da Prato–Debussche method [13] as in [33] but an additional coupling argument is needed to show convergence of the linearized dynamics. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00221236
- Volume :
- 275
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Functional Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 130486294
- Full Text :
- https://doi.org/10.1016/j.jfa.2017.12.014