Asymmetric exclusion model with several kinds of impurities

• Autor(a) principal: Lazo, Matheus Jatkoske
• Data de Publicação: 2012
• Outros Autores: Ferreira, Anderson Augusto
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da FURG (RI FURG)
• Texto Completo: http://repositorio.furg.br/handle/1/3353
• topic: Spin chains; Stochastic process; Matrix product ansatz; Bethe ansatz

We formulate a new integrable asymmetric exclusion process with N − 1 = 0, 1, 2, ... kinds of impurities and with hierarchically ordered dynamics. The model we proposed displays the full spectrum of the simple asymmetric exclusion model plus new levels. The first excited state belongs to these new levels and displays unusual scaling exponents. We conjecture that, while the simple asymmetric exclusion process without impurities belongs to the KPZ universality class with dynamical exponent \frac {3}{2} , our model has a scaling exponent \frac {3}{2}+N-1 . In order to check the conjecture, we solve numerically the Bethe equation with N = 3 and N = 4 for the totally asymmetric diffusion and found the dynamical exponents \frac {7}{2} and \frac {9}{2} in these cases.