Abstract
Fluctuations in non-equilibrium systems do not arise from a probability distribution of the initial state, but are continually generated by the equations of motion. In order to derive them from statistical mechanics a drastic repeated randomness assumption is indispensable. One is then led to a master equation, from which both the deterministic macroscopic equation and the fluctuations are obtained by a limiting process. The approximate nature of the whole procedure makes the use of strictly mathematical delta-correlations and Itô calculus illusory.KeywordsMaster EquationStochastic Differential EquationLangevin EquationBrownian ParticleRandom ForceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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