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Zero Density of Open Paths in the Lorentz Mirror Model for Arbitrary Mirror Probability

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Abstract

We show, incorporating results obtained from numerical simulations, that in the Lorentz mirror model, the density of open paths in any finite box tends to 0 as the box size tends to infinity, for any mirror probability.

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Acknowledgments

The authors thank L. Bunimovich, E. Crane, T. LaGatta and R. Díaz for useful discussions and comments on earlier drafts, and an anonymous referee for useful suggestions which improved the manuscript. Financial support from CONACYT Grant CB-101246 and DGAPA-UNAM PAPIIT Grants IN116212 and IN117214 is acknowledged.

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  1. Departamento de Física, Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, 04510 , Mexico, D.F., Mexico

    Atahualpa S. Kraemer & David P. Sanders

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  1. Atahualpa S. Kraemer
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  2. David P. Sanders
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Correspondence to Atahualpa S. Kraemer.

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Kraemer, A.S., Sanders, D.P. Zero Density of Open Paths in the Lorentz Mirror Model for Arbitrary Mirror Probability. J Stat Phys 156, 908–916 (2014). https://doi.org/10.1007/s10955-014-1038-3

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  • DOI: https://doi.org/10.1007/s10955-014-1038-3

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