The voter model with a slow membrane

Xue, Xiaofeng; Zhao, Linjie

Document type :

Pré-publication ou Document de travail

Title :

The voter model with a slow membrane

Author(s) :

Xue, Xiaofeng [Auteur]
Beijing Jiaotong University [BJTU]
Zhao, Linjie [Auteur]
Systèmes de particules et systèmes dynamiques [Paradyse]

English keyword(s) :

Voter model
heat equation
boundary conditions
duality

HAL domain(s) :

Mathématiques [math]/Probabilités [math.PR]

English abstract : [en]

We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior. The model is defined as follows: a voter adopts one of its neighbors' opinion at rate one except for ...
Show more >We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior. The model is defined as follows: a voter adopts one of its neighbors' opinion at rate one except for neighbors crossing the hyperplane {x : x 1 = 1/2}, where the rate is αN −β. Above, α > 0, β ≥ 0 are two parameters and N is the scaling parameter. The hydrodynamic equation turns out to be heat equation with various boundary conditions depending on the value of β. The proof is based on duality method.Show less >

Language :

Anglais

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

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