From multiplicative noise to directed percolation in wetting transitions

F  Ginelli; V  Ahlers; R  Livi; D  Mukamel; A  Pikovsky; A  Politi; A  Torcini

doi:10.1103/PhysRevE.68.065102

From multiplicative noise to directed percolation in wetting transitions

F Ginelli, V Ahlers, R Livi, D Mukamel, A Pikovsky, A Politi, A Torcini

Physics

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behavior observed along the transition line changes from a directed-percolation type to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions. Mean-field arguments and the mapping on yet a simpler model provide some further insight on the overall scenario.

Original language	English
Article number	065102(R)
Number of pages	4
Journal	Physical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume	68
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.68.065102
Publication status	Published - 11 Dec 2003

Keywords

phase-transition
systems
diffusion

Access to Document

10.1103/PhysRevE.68.065102

Cite this

@article{d9f479c83a5c42979d65df6abb98c0be,

title = "From multiplicative noise to directed percolation in wetting transitions",

abstract = "A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behavior observed along the transition line changes from a directed-percolation type to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions. Mean-field arguments and the mapping on yet a simpler model provide some further insight on the overall scenario.",

keywords = "phase-transition, systems, diffusion",

author = "F Ginelli and V Ahlers and R Livi and D Mukamel and A Pikovsky and A Politi and A Torcini",

year = "2003",

month = dec,

day = "11",

doi = "10.1103/PhysRevE.68.065102",

language = "English",

volume = "68",

journal = "Physical Review. E, Statistical, Nonlinear and Soft Matter Physics",

issn = "1539-3755",

publisher = "AMER PHYSICAL SOC",

number = "6",

}

TY - JOUR

T1 - From multiplicative noise to directed percolation in wetting transitions

AU - Ginelli, F

AU - Ahlers, V

AU - Livi, R

AU - Mukamel, D

AU - Pikovsky, A

AU - Politi, A

AU - Torcini, A

PY - 2003/12/11

Y1 - 2003/12/11

N2 - A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behavior observed along the transition line changes from a directed-percolation type to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions. Mean-field arguments and the mapping on yet a simpler model provide some further insight on the overall scenario.

AB - A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behavior observed along the transition line changes from a directed-percolation type to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions. Mean-field arguments and the mapping on yet a simpler model provide some further insight on the overall scenario.

KW - phase-transition

KW - systems

KW - diffusion

U2 - 10.1103/PhysRevE.68.065102

DO - 10.1103/PhysRevE.68.065102

M3 - Article

SN - 1539-3755

VL - 68

JO - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

JF - Physical Review. E, Statistical, Nonlinear and Soft Matter Physics

IS - 6

M1 - 065102(R)

ER -

From multiplicative noise to directed percolation in wetting transitions

Abstract

Keywords

Access to Document

Fingerprint

Cite this