Travelling waves and long-time behaviour of the weakly asymmetric exclusion process (Q1826234)
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scientific article; zbMATH DE number 4123028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Travelling waves and long-time behaviour of the weakly asymmetric exclusion process |
scientific article; zbMATH DE number 4123028 |
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Travelling waves and long-time behaviour of the weakly asymmetric exclusion process (English)
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1990
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We consider the one-dimensional weakly asymmetric nearest neighbour exclusion process and study its macroscopic behaviour on a longer time scale than that for which the deterministic approximation by the Burgers equation holds. We show that this long-time behaviour is completely determined by the initial particle configuration, and does not depend on the randomness of the evolution. Moreover, we examine in detail a special case for which a travelling wave is observed with stable profile but randomly fluctuating space location.
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weakly asymmetric nearest neighbour exclusion process
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Burgers equation
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long-time behaviour
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