• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

The Scaling Limit for Zero-Temperature Planar Ising Droplets: With and Without Magnetic Fields

Lacoin, Hubert (2014), The Scaling Limit for Zero-Temperature Planar Ising Droplets: With and Without Magnetic Fields, in Ramírez, Alejandro F.; Ben Arous, Gérard; Ferrari, Pablo A.; Newman, Charles M.; Sidoravicius, Vladas; Vares, Maria Eulália, Topics in Percolative and Disordered Systems, Springer : New York, p. 85-120. 10.1007/978-1-4939-0339-9_4

Type
Chapitre d'ouvrage
External document link
https://arxiv.org/abs/1210.2597v1
Date
2014
Book title
Topics in Percolative and Disordered Systems
Book author
Ramírez, Alejandro F.; Ben Arous, Gérard; Ferrari, Pablo A.; Newman, Charles M.; Sidoravicius, Vladas; Vares, Maria Eulália
Publisher
Springer
Published in
New York
ISBN
978-1-4939-0338-2
Pages
85-120
Publication identifier
10.1007/978-1-4939-0339-9_4
Metadata
Show full item record
Author(s)
Lacoin, Hubert
Abstract (EN)
We consider the continuous time, zero-temperature heat-bath dynamics for the nearest-neighbor Ising model on Z2 with positive magnetic field. For a system of size L∈N, we start with initial condition σ such that σx=−1 if x∈[−L,L]2 and σx=+1 and investigate the scaling limit of the set of • spins when both time and space are rescaled by L. We compare the obtained result and its proof with the case of zero-magnetic fields, for which a scaling result was proved by Lacoin et al. (J Eur Math Soc, in press). In that case, the time-scaling is diffusive and the scaling limit is given by anisotropic motion by curvature.
Subjects / Keywords
heat-bath dynamics; Ising model

Related items

Showing items related by title and author.

  • Thumbnail
    Approximate Lifshitz law for the zero-temperature stochastic Ising model in any dimension 
    Lacoin, Hubert (2013) Article accepté pour publication ou publié
  • Thumbnail
    Zero-temperature 2D stochastic Ising model and anisotropic curve-shortening flow 
    Toninelli, Fabio Lucio; Simenhaus, François; Lacoin, Hubert (2014) Article accepté pour publication ou publié
  • Thumbnail
    The Scaling Limit of Polymer Pinning Dynamics and a One Dimensional Stefan Freezing Problem 
    Lacoin, Hubert (2014) Article accepté pour publication ou publié
  • Thumbnail
    "Zero" temperature stochastic 3D Ising model and dimer covering fluctuations: a first step towards interface mean curvature motion 
    Caputo, Pietro; Toninelli, Fabio Lucio; Martinelli, Fabio; Simenhaus, François (2011) Article accepté pour publication ou publié
  • Thumbnail
    Spectral gap and cutoff phenomenon for the Gibbs sampler of ∇φ interfaces with convex potential 
    Caputo, Pietro; Labbé, Cyril; Lacoin, Hubert (2022) Article accepté pour publication ou publié
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo