Self-organization without heat: the geometric ratchet effect

Matteo Smerlak; Ahmed Youssef

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arXiv · 1206.3441

Self-organization without heat: the geometric ratchet effect

Matteo Smerlak·Ahmed Youssef

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Abstract

We point out a surprising feature of diffusion in inhomogeneous media: under suitable conditions, the rectification of the Brownian paths by a diffusivity gradient can result in initially spread tracers spontaneously concentrating. This "geometric ratchet effect" demonstrates that, in violation of the classical statements of the second law of (non-equilibrium) thermodynamics, self-organization can take place in thermodynamic systems at local equilibrium without heat being produced or exchanged with the environment. We stress the role of Bayesian priors in a suitable reformulation of the second law accommodating this geometric ratchet effect.

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Matteo Smerlak, Ahmed Youssef. 2012-06-15. Self-organization without heat: the geometric ratchet effect. https://arxiv.org/abs/1206.3441

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