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• W2146156763 abstract "A traditional subject in statistical physics is the linear response of a molecular dynamical system to changes in an external forcing agency, e.g. the Ohmic response of an electrical conductor to an applied electric field. For molecular systems the linear response matrices, such as the electrical conductivity, can be represented by Green–Kubo formulae as improper time-integrals of 2-time correlation functions in the system. Recently, Ruelle has extended the Green–Kubo formalism to describe the statistical, steady-state response of a 'sufficiently chaotic' nonlinear dynamical system to changes in its parameters. This formalism potentially has a number of important applications. For instance, in studies of global warming one wants to calculate the response of climate-mean temperature to a change in the atmospheric concentration of greenhouse gases. In general, a climate sensitivity is defined as the linear response of a long-time average to changes in external forces. We show that Ruelle's linear response formula can be computed by an ensemble adjoint technique and that this algorithm is equivalent to a more standard ensemble adjoint method proposed by Lea, Allen and Haine to calculate climate sensitivities." @default.
• W2146156763 created "2016-06-24" @default.
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• W2146156763 date "2004-07-14" @default.
• W2146156763 modified "2023-10-17" @default.
• W2146156763 title "Ruelle's linear response formula, ensemble adjoint schemes and Lévy flights" @default.
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• W2146156763 doi "https://doi.org/10.1088/0951-7715/17/5/016" @default.
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