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Relativistic generalization of Brownian Motion

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arxiv 0710.1904 v1 pith:I7TQFAKG submitted 2007-10-10 hep-th cond-mat.stat-mechhep-ph

Relativistic generalization of Brownian Motion

classification hep-th cond-mat.stat-mechhep-ph
keywords noisebrowniandistributionfunctiongeneralizationmotionrelativisticterm
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The relativistic generalization of the Brownian motion is discussed. We show that the transformation property of the noise term is determined by requiring for the equilibrium distribution function to be Lorentz invariant, such as the J\"uttner distribution function. It is shown that this requirement generates an entanglement between the force term and the noise so that the noise itself should not be a covariant quantity.

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