Asymptotic properties of markovian master equations |
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Authors: | M Malek Mansour C Van Den Broeck G Nicolis JW Turner |
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Institution: | Faculté des Sciences de l''Université Libre de Bruxelles, C.P.231, Campus Plaine, Bruxelles 1050, Belgium |
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Abstract: | An asymptotic method of analysis of fluctuations in systems far from equilibrium is developed. A systematic singular perturbative expansion of the equation for the generating function is set up, using as smallness parameter the inverse of the size of the system. Static and time-dependent properties are analysed before, near and at a bifurcation point, both for homogeneous and inhomogeneous fluctuations. The connection with critical phenomena near equilibrium is also discussed. |
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