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Energy Transfer and Joint Diffusion

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Abstract

A paradigm model is suggested for describing the diffusive limit of trajectories of two Lorentz disks moving in a finite horizon periodic configuration of smooth, strictly convex scatterers and interacting with each other via elastic collisions. For this model the diffusive limit of the two trajectories is a mixture of joint Gaussian laws (analogous behavior is expected for the mechanical model of two Lorentz disks).

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Authors and Affiliations

  1. Department of Mathematics, Mathematics Building, University of Maryland, College Park, MD, 20740, USA

    Zs. Pajor-Gyulai

  2. Mathematical Institute Budapest, Budapest University of Technology and Economics, Egry J. u. 1, Budapest, 1111, Hungary

    D. Szász

Authors
  1. Zs. Pajor-Gyulai
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  2. D. Szász
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Corresponding author

Correspondence to Zs. Pajor-Gyulai.

Additional information

D. Sz. is grateful to Hungarian National Foundation for Scientific Research grants Nos. T 046187, K 71693, NK 63066 and TS 049835.

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Pajor-Gyulai, Z., Szász, D. Energy Transfer and Joint Diffusion. J Stat Phys 146, 1001–1025 (2012). https://doi.org/10.1007/s10955-012-0426-9

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  • DOI: https://doi.org/10.1007/s10955-012-0426-9

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