We introduce a numerical procedure to evaluate directly the probabilities of large deviations of physical quantities, such as current or density, that are local in time. The large-deviation functions are given in terms of the typical properties of a modified dynamics, and since they no longer involve rare events, can be evaluated efficiently and over a wider ranges of values. We illustrate the method with the current fluctuations of the Totally Asymmetric Exclusion Process and with the work distribution of a driven Lorentz gas. © 2006 The American Physical Society.
Direct evaluation of large-deviation functions / GIARDINA', Cristian; J., Kurchan; L., Peliti. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - STAMPA. - 96:(2006), pp. 120603/1-120603/4. [10.1103/PhysRevLett.96.120603]
Direct evaluation of large-deviation functions.
GIARDINA', Cristian;
2006
Abstract
We introduce a numerical procedure to evaluate directly the probabilities of large deviations of physical quantities, such as current or density, that are local in time. The large-deviation functions are given in terms of the typical properties of a modified dynamics, and since they no longer involve rare events, can be evaluated efficiently and over a wider ranges of values. We illustrate the method with the current fluctuations of the Totally Asymmetric Exclusion Process and with the work distribution of a driven Lorentz gas. © 2006 The American Physical Society.
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