Fluctuations and Irreversible Processes
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Cites methods from "Fluctuations and Irreversible Proce..."
...The path integral for such a multivariate process has been pioneered by Onsager and Machlup for linear processes [60, 61] and by Graham for non-linear processes including a spatially dependent diffusion constant [62, 63]....
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Cites background or methods from "Fluctuations and Irreversible Proce..."
...The topics discussed in the context of nonequilibrium systems are as varied, and include the study of large deviations in stochastic differential equations (Freidlin–Wentzell theory), dynamical models of equilibrium fluctuations (Onsager–Machlup theory), fluctuation relations, and systems of interacting particles....
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...12 Onsager and Machlup [119] derived this result for linear equations as far back as 1953 (see also [120–122])....
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...The minimum dissipation principle of Onsager and Machlup [119], for example, which states that the fluctuation and decay paths of equilibrium systems minimize some dissipation function, can be re-interpreted in terms of the variational principle of Eq....
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...To find the expression of the quasipotential V (x), we follow Onsager and Machlup [119] and solve the Euler–Lagrange Eq....
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...(227), and is what Onsager and Machlup refer to as theminimum dissipation principle [119]....
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