منابع مشابه
Relativistic Brownian Motion
Over the past one hundred years Brownian motion theory has contributed substantially to our understanding of various microscopic phenomena. Initially proposed as a phenomenological paradigm for atomistic matter interactions, the original theory has ever since evolved into a broad and vivid research area, with an ever increasing number of applications in biology, chemistry, finance, and physics....
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We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1 + 1 and 3 + 1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of invariant d'Alembert form. Treating the spacelike and timelike fluctuations separately, we show that it is essential to take into account the analytic continuation of " un...
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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 Jüttner 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...
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Relativistic Brownian motion can be inexpensively demonstrated on a graphene chip. The interplay of stochastic and relativistic dynamics, governing the transport of charge carrier in graphene, induces noise-controlled effects such as (i) a stochastic effective mass, detectable as a suppression of the particle mobility with increasing the temperature; (ii) transverse harmonic mixing, whereby ele...
متن کامل5 December , 2002 Relativistic Brownian Motion
We solve the problem of formulating Brownian motion in a relativistically covariant framework in 1 + 1 and 3 + 1 dimensions. We obtain covariant Fokker-Planck equations with (for the isotropic case) a differential operator of invariant d'Alembert form. Treating the spacelike and timelike fluctuations separately, we show that it is essential to take into account the analytic continuation of " un...
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ژورنال
عنوان ژورنال: Physics Reports
سال: 2009
ISSN: 0370-1573
DOI: 10.1016/j.physrep.2008.12.001