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Existence and Coexistence in First-Passage Percolation Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Central Limit Theorems for a Driven Particle in a Random Medium with Mass Aggregation

Authors : Luiz Renato Fontes, Pablo Almeida Gomes, Rémy Sanchis

Published in: In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

Publisher: Springer International Publishing

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Abstract

We establish central limit theorems for the position and velocity of the charged particle in the mechanical particle model introduced by Fontes, Jordão Neves and Sidoravicius (2000).

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previous chapter The Roles of Random Boundary Conditions in Spin Systems
next chapter Structural Properties of Conditioned Random Walks on Integer Lattices with Random Local Constraints
Footnotes
1
The distinction of the initial mass of the t.p. with respect to the other particles, absent in [4], is for convenience only; any positive initial mass for the t.p. would not change our results, but values 1 or below would require unimportant complications in our arguments.
 
Literature
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Buttà, P., Caglioti, E., Marchioro, C.: On the violation of Ohm’s law for bounded interactions: a one dimensional system. Comm. Math. Phys. 249, 353–382 (2004)MathSciNetCrossRef
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Fontes, L.R.G., Jordão Neves, E., Sidoravicius, V.: Limit velocity for a driven particle in a random medium with mass aggregation. Ann. Inst. H. Poincaré Probab. Statist. 36, 787–805 (2000)MathSciNetCrossRef
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Pellegrinotti, A., Sidoravicius, V., Vares, M.E.: Stationary state and diffusion for a charged particle in a one-dimensional medium with lifetimes. Teor. Veroyatnost. i Primenen. 44, 796–825 (2000); Reprinted in Theory Probab. Appl. 44, 697–721 (1999)
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Sidoravicius, V., Triolo, L., Vares, M.E.: On the forced motion of a heavy particle in a random medium. I. Existence of dynamics. I Brazilian School in Probability (Rio de Janeiro, 1997). Markov Process. Relat. Fields 4, 629–647 (1998)MATH
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Sidoravicius, V., Triolo, L., Vares, M.E.: Mixing properties for mechanical motion of a charged particle in a random medium. Comm. Math. Phys. 219, 323–355 (2001)MathSciNetCrossRef
Metadata
Title
Central Limit Theorems for a Driven Particle in a Random Medium with Mass Aggregation
Authors
Luiz Renato Fontes
Pablo Almeida Gomes
Rémy Sanchis
Copyright Year
2021
Book
In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius

Print ISBN: 978-3-030-60753-1

Electronic ISBN: 978-3-030-60754-8

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-60754-8_18