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Paper detail

Energy Transfer and Joint Diffusion

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).

preprint2010arXivOpen access
Zsolt Pajor-GyulaiDomokos Szász
math-phmath.PRmath.MP
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Zsolt Pajor-GyulaiDomokos Szász

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