Density profiles in the raise and peel model with and without a wall; physics and combinatorics


Autoria(s): ALCARAZ, Francisco Castilho; PYATOV, Pavel; RITTENBERG, Vladimir
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2008

Resumo

We consider the raise and peel model of a one-dimensional fluctuating interface in the presence of an attractive wall. The model can also describe a pair annihilation process in disordered unquenched media with a source at one end of the system. For the stationary states, several density profiles are studied using Monte Carlo simulations. We point out a deep connection between some profiles seen in the presence of the wall and in its absence. Our results are discussed in the context of conformal invariance ( c = 0 theory). We discover some unexpected values for the critical exponents, which are obtained using combinatorial methods. We have solved known ( Pascal`s hexagon) and new (split-hexagon) bilinear recurrence relations. The solutions of these equations are interesting in their own right since they give information on certain classes of alternating sign matrices.

Identificador

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2008

1742-5468

http://producao.usp.br/handle/BDPI/29813

10.1088/1742-5468/2008/01/P01006

http://dx.doi.org/10.1088/1742-5468/2008/01/P01006

Idioma(s)

eng

Publicador

IOP PUBLISHING LTD

Relação

Journal of Statistical Mechanics-theory and Experiment

Direitos

restrictedAccess

Copyright IOP PUBLISHING LTD

Palavras-Chave #algebraic structures of integrable models #exact results #stationary states #ALTERNATING-SIGN MATRICES #CONFORMAL-INVARIANCE #CRITICAL SYSTEMS #CHAIN #COAGULATION #MATCHINGS #EQUATIONS #Mechanics #Physics, Mathematical
Tipo

article

original article

publishedVersion