Exact Langevin equation in a cosmological setting

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Other Topics In General Relativity And Gravitation

Scientific paper

Recently, various authors have used Langevin equations to model physical processes in the early Universe. Much of this work is based on a flat-space effective potential, neglecting potential complications associated with a curved spacetime. This paper considers a simple statistical-mechanical model of time-dependent, bilinearly coupled oscillators, which leads to an exact Langevin equation that mocks a field theory in a time-dependent background. This equation exhibits a nonlocal time-dependent change in the effective potential which vanishes identically when the oscillators are time independent.

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