Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces
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 stat...
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| Format: | Article |
| Language: | English |
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MDPI AG
2010-03-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/12/3/554/ |
| _version_ | 1811300982278062080 |
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| author | Eugene Kagan |
| author_facet | Eugene Kagan |
| author_sort | Eugene Kagan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T06:59:25Z |
| format | Article |
| id | doaj.art-12ff9dc033eb4e2eb8ecd9ff93af64af |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T06:59:25Z |
| publishDate | 2010-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-12ff9dc033eb4e2eb8ecd9ff93af64af2022-12-22T02:57:08ZengMDPI AGEntropy1099-43002010-03-0112355456910.3390/e12030554Turing Systems, Entropy, and Kinetic Models for Self-Healing SurfacesEugene KaganThe 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.http://www.mdpi.com/1099-4300/12/3/554/friction-induced self-healingTuring systemself-organizationentropy productionkinetic model |
| spellingShingle | Eugene Kagan Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces Entropy friction-induced self-healing Turing system self-organization entropy production kinetic model |
| title | Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces |
| title_full | Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces |
| title_fullStr | Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces |
| title_full_unstemmed | Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces |
| title_short | Turing Systems, Entropy, and Kinetic Models for Self-Healing Surfaces |
| title_sort | turing systems entropy and kinetic models for self healing surfaces |
| topic | friction-induced self-healing Turing system self-organization entropy production kinetic model |
| url | http://www.mdpi.com/1099-4300/12/3/554/ |
| work_keys_str_mv | AT eugenekagan turingsystemsentropyandkineticmodelsforselfhealingsurfaces |