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Equilibrium Fluctuations for Totally Asymmetric Particle Systems | exclusion and zero-range processes | Patrícia Gonçalves | Taschenbuch | Englisch | VDM Verlag Dr. Müller | EAN 9783639095753 - Gonçalves, Patrícia
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Gonçalves, Patrícia:

Equilibrium Fluctuations for Totally Asymmetric Particle Systems | exclusion and zero-range processes | Patrícia Gonçalves | Taschenbuch | Englisch | VDM Verlag Dr. Müller | EAN 9783639095753 - Livro de bolso

ISBN: 9783639095753

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Equilibrium Fluctuations for Totally Asymmetric Particle Systems / exclusion and zero-range processes / Patrícia Gonçalves / Taschenbuch / Englisch / VDM Verlag Dr. Müller / EAN 9783639095753 - Gonçalves, Patrícia
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Gonçalves, Patrícia:

Equilibrium Fluctuations for Totally Asymmetric Particle Systems / exclusion and zero-range processes / Patrícia Gonçalves / Taschenbuch / Englisch / VDM Verlag Dr. Müller / EAN 9783639095753 - Livro de bolso

ISBN: 9783639095753

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Equilibrium Fluctuations for Totally Asymmetric Particle Systems - Patrícia Gonçalves
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Equilibrium Fluctuations for Totally Asymmetric Particle Systems - Livro de bolso

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Equilibrium Fluctuations for Totally Asymmetric Particle Systems - Livro de bolso

ISBN: 9783639095753

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Equilibrium Fluctuations for Totally Asymmetric Particle Systems exclusion and zero-range processes - novo libro

2013, ISBN: 3639095758

Kartoniert / Broschiert, mit Schutzumschlag neu, [PU:VDM Verlag Dr. Müller e.K.]

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Equilibrium Fluctuations for Totally Asymmetric Particle Systems

The one-dimensional totally asymmetric simple exclusion process and the totally asymmetric zero-range process are put into context, in order to derive its equilibrium fluctuations. We consider the processes evolving on the hyperbolic time scale and starting from the corresponding invariant states. For both processes taken on the hydrodynamic time scale, the temporal evolution of the limit density fluctuation field is deterministic, in the sense that the limit field at time t is a translation of the initial one. As a consequence of these results, it is possible to derive Central Limit Theorems for the current of particles and for a tagged particle, and the limit process turns out to be the Brownian motion. By considering these systems in a reference frame moving at the characteristic speed, the limit density fluctuation field does not evolve in time until a longer time scale n^4/3. To prove the later result, a Boltzmann-Gibbs Principle was shown by a multi-scale argument. As a consequence, the current across a characteristic vanishes on this longer time scale. These results should hold until n^3/2 and this is a step towards showing the universality behavior of the scaling exponent.

Dados detalhados do livro - Equilibrium Fluctuations for Totally Asymmetric Particle Systems


EAN (ISBN-13): 9783639095753
ISBN (ISBN-10): 3639095758
Livro de bolso
Ano de publicação: 2010
Editor/Editora: VDM Verlag Dr. Müller

Livro na base de dados desde 2011-09-16T12:29:26+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-12-24T10:24:22+00:00 (Lisbon)
Número ISBN/EAN: 3639095758

Número ISBN - Ortografia alternativa:
3-639-09575-8, 978-3-639-09575-3
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: goncalves
Título do livro: zero


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