Fluctuation-dissipation theorems in an expanding universe

Details Fluctuation-dissipation theorems in an expanding universe Fluctuation-dissipation theorems in an expanding universe

Feb 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007jmp....48b3304c&link_type=abstract

Journal of Mathematical Physics, Volume 48, Issue 2, pp. 023304-023304-12 (2007).

Mathematics

Mathematical Physics

5

Mathematical And Relativistic Aspects Of Cosmology, Special Relativity, Spacetime Topology, Causal Structure, Spinor Structure, Fluctuation Phenomena, Random Processes, Noise, And Brownian Motion, Transport Processes, Relativity And Gravitation

Scientific paper

The recently constructed minimal extension of the special relativistic Ornstein-Uhlenbeck process to curved space-time cannot be used to model realistically diffusions on cosmological scales because it does not take into account the evolution of the thermodynamical state of the matter with cosmological time. We therefore introduce a new class of non-minimal extensions characterized by time-dependent friction and noise coefficients. These new processes admit time-dependent Jüttner distributions as possible measures in momentum space; associated fluctuation-dissipation theorems are also proved and discussed.

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