About numerically extracting the metric for entropy-driven diffusive systems

Peter Embacher (Cardiff)

We consider a diffusive system that is microscopically driven by an underlying stochastic process. For some of these systems it has been shown that their macroscopical evolution can be described by a gradient flow along its entropy, as long as the corresponding thermodynamical metric is chosen conveniently. We propose a numerical method to extract this metric from given experimental data. The method was applied to zero-range-processes and proved successfull there.

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