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Nonlocal growth processes and conformal invariance

Alcaraz, Francisco Castilho; Rittenberg, Vladimir Universidade De São Paulo

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, BRISTOL, v. 26, n. 12, supl. 4, Part 1-2, pp. 1311-1325, MAY, 2012

IOP PUBLISHING LTD; BRISTOL 2012

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  • Título:
    Nonlocal growth processes and conformal invariance
  • Autor: Alcaraz, Francisco Castilho; Rittenberg, Vladimir
  • Universidade De São Paulo
  • Assuntos: Conformal Field Theory (Theory); Driven Diffusive Systems (Theory); Stochastic Particle Dynamics (Theory); Alternating-Sign Matrices; O(1) Loop Model; Symmetry Classes; Polymers; Mechanics; Physics; Mathematical
  • É parte de: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, BRISTOL, v. 26, n. 12, supl. 4, Part 1-2, pp. 1311-1325, MAY, 2012
  • Descrição: Up to now the raise-and-peel model was the single known example of a one-dimensional stochastic process where one can observe conformal invariance. The model has one parameter. Depending on its value one has a gapped phase, a critical point where one has conformal invariance, and a gapless phase with changing values of the dynamical critical exponent z. In this model, adsorption is local but desorption is not. The raise-and-strip model presented here, in which desorption is also nonlocal, has the same phase diagram. The critical exponents are different as are some physical properties of the model. Our study suggests the possible existence of a whole class of stochastic models in which one can observe conformal invariance.
    FAPESP
    CNPq
  • DOI: 10.1088/1742-5468/2012/05/P05022
  • Títulos relacionados: JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
  • Editor: IOP PUBLISHING LTD; BRISTOL
  • Data de publicação: 2012
  • Idioma: Inglês

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