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Entropy 2010, 12(3), 554-569; doi:10.3390/e12030554
Article

Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces

Department of Industrial Engineering, Tel Aviv University, Ramat Aviv, 69978, Israel
Received: 30 January 2010 / Revised: 15 February 2010 / Accepted: 16 February 2010 / Published: 15 March 2010
(This article belongs to the Special Issue Entropy and Friction Volume 2)
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Abstract

The paper addresses the methods of description of friction-induced self-healing at the interface between two solid bodies. A macroscopic description of self-healing is based on a Turing system for the transfer of matter that leads to self-organization at the interface in the case of an unstable state. A microscopic description deals with a kinetic model of the process and entropy production during self-organization. The paper provides a brief overview of the Turing system approach and statistical kinetic models. The relation between these methods and the description of the self-healing surfaces is discussed, as well as results of their application. The analytical considerations are illustrated by numerical simulations.
Keywords: friction-induced self-healing; Turing system; self-organization; entropy production; kinetic model friction-induced self-healing; Turing system; self-organization; entropy production; kinetic model
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Kagan, E. Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces. Entropy 2010, 12, 554-569.

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