Nonlocal asymmetric exclusion process on a ring and conformal invariance
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
26/06/2014
26/06/2014
01/09/2013
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Resumo |
We present a one-dimensional nonlocal hopping model with exclusion on a ring. The model is related to the Raise and Peel growth model. A nonnegative parameter u controls the ratio of the local backwards and nonlocal forwards hopping rates. The phase diagram, and consequently the values of the current, depend on u and the density of particles. In the special case of half-lling and u = 1 the system is conformal invariant and an exact value of the current for any size L of the system is conjectured and checked for large lattice sizes in Monte Carlo simulations. For u > 1 the current has a non-analytic dependence on the density when the latter approaches the half-lling value. DFG (RI 31716-1) FAPESP CNPq |
Identificador |
Journal of Statistical Mechanics, Bristol : Institute of Physics - IOP, v. 2013, n. 9, p. P09010-1-P09010-29, Sept. 2013 1742-5468 http://www.producao.usp.br/handle/BDPI/45506 10.1088/1742-5468/2013/09/P09010 |
Idioma(s) |
eng |
Publicador |
Institute of Physics - IOP Bristol |
Relação |
Journal of Statistical Mechanics |
Direitos |
restrictedAccess Copyright IOP Publishing Ltd and SISSA Medialab srl |
Palavras-Chave | #Conformal eld theory #Integrable spin chains (vertex models) #Critical exponents and amplitudes (theory) #Stochastic particle dynamics (theory) #FÍSICA TEÓRICA #PROCESSOS ESTOCÁSTICOS #MODELOS MATEMÁTICOS |
Tipo |
article original article publishedVersion |