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Doctoral Thesis
DOI
https://doi.org/10.11606/T.45.2008.tde-23082008-193758
Document
Author
Full name
Adriana Uquillas Andrade
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2008
Supervisor
Committee
Simonis, Adilson (President)
Ferrari, Pablo Augusto
Garcia, Nancy Lopes
Landim, Claudio
Mitrowsky, Rafael Andres Rosales
Title in Portuguese
Processo de exclusão simples com taxas variáveis
Keywords in Portuguese
limite hidrodinâmico
meio aleatório
sistemas de partículas.
Abstract in Portuguese
Nosso trabalho considera o processo de exclusão simples do vizinho mais próximo evoluindo com taxas de salto aleatórias . Demonstramos o limite hidrodinâmico deste processo. Este resultado è obtido através do limite hidrodinâmico do processo de exclusão onde as taxas de salto iniciais são substituidas pelas taxas cx,N que tem a mesma distribuição para cada N maior ou igal a 1. Fazemos algumas suposições no meio c_N e consideramos que as partículas estão inicialmente distribuidas de acordo à medida produto de Bernoulli associada a um perfil inicial.
Title in English
SImple Exclusion process with variables rates
Keywords in English
hydrodynamic limit
interacting particle system.
random environment
Abstract in English
Consider a Poisson process with rate equal to 1 in IR. Consider the nearest neighbor simple exclusion process with random jump rates § where §x =\lambda, \lambda > 0 if there is a Poisson mark between (x, x + 1) and §x = 1 otherwise. We prove the hydrodynamic limit of this process. This result follows from the hydrodynamic limit in the case that the jump rates {§x : x inteiro} are replaced by an array {cx,N : x inteiro} having the same distribution for each N >=1.
 
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Tese_final.pdf (292.74 Kbytes)
Publishing Date
2013-04-15
 
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