Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-05-12
Physics
Condensed Matter
Statistical Mechanics
21 pages, 1 figures
Scientific paper
We reconsider the theory of the linear response of non-equilibrium steady states to perturbations. We first show that by using a general functional decomposition for space-time dependent forcings, we can define elementary susceptibilities that allow to construct the response of the system to general perturbations. Starting from the definition of SRB measure, we then study the consequence of taking different sampling schemes for analysing the response of the system. We show that only a specific choice of the time horizon for evaluating the response of the system to a general time-dependent perturbation allows to obtain the formula first presented by Ruelle. We also discuss the special case of periodic perturbations, showing that when they are taken into consideration the sampling can be fine-tuned to make the definition of the correct time horizon immaterial. Finally, we discuss the implications of our results in terms of strategies for analyzing the outputs of numerical experiments by providing a critical review of a formula proposed by Reick.
Faranda Davide
Kuna Tobias
Lucarini Valerio
Wouters Jeroen
No associations
LandOfFree
Relevance of sampling schemes in light of Ruelle's linear response theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relevance of sampling schemes in light of Ruelle's linear response theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relevance of sampling schemes in light of Ruelle's linear response theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-497381