A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations
Grain growth in metals is driven by random thermal fluctuations and increases the orderliness of the system. This random process is usually simulated by the Monte Carlo (MC) method and Cellular Automata (CA). The increasing orderliness results in an entropy decrease, thus leading to a paradoxical ap...
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| Format: | Article |
| Language: | English |
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MDPI AG
2008-06-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/10/2/49/ |
| _version_ | 1798025807654813696 |
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| author | Sven K. Esche Michael Nosonovsky |
| author_facet | Sven K. Esche Michael Nosonovsky |
| author_sort | Sven K. Esche |
| collection | DOAJ |
| description | Grain growth in metals is driven by random thermal fluctuations and increases the orderliness of the system. This random process is usually simulated by the Monte Carlo (MC) method and Cellular Automata (CA). The increasing orderliness results in an entropy decrease, thus leading to a paradoxical apparent violation of the second law of thermodynamics. In this paper, it is shown that treating the system as a multiscale system resolves this paradox. MC/CA simulations usually take into consideration only the mesoscale entropy. Therefore, the information entropy of the system decreases, leading to an apparent paradox. However, in the physical system, the entropy is produced at the nanoscale while it is consumed at the mesoscale, so that the net entropy is growing. |
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| id | doaj.art-f7a07eedf761414494301d08ca13801b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:24:49Z |
| publishDate | 2008-06-01 |
| publisher | MDPI AG |
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| series | Entropy |
| spelling | doaj.art-f7a07eedf761414494301d08ca13801b2022-12-22T04:09:40ZengMDPI AGEntropy1099-43002008-06-01102495410.3390/entropy-e10020049A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth SimulationsSven K. EscheMichael NosonovskyGrain growth in metals is driven by random thermal fluctuations and increases the orderliness of the system. This random process is usually simulated by the Monte Carlo (MC) method and Cellular Automata (CA). The increasing orderliness results in an entropy decrease, thus leading to a paradoxical apparent violation of the second law of thermodynamics. In this paper, it is shown that treating the system as a multiscale system resolves this paradox. MC/CA simulations usually take into consideration only the mesoscale entropy. Therefore, the information entropy of the system decreases, leading to an apparent paradox. However, in the physical system, the entropy is produced at the nanoscale while it is consumed at the mesoscale, so that the net entropy is growing.http://www.mdpi.com/1099-4300/10/2/49/grain growthMonte Carlo simulationCellular Automatamultiscale modeling. |
| spellingShingle | Sven K. Esche Michael Nosonovsky A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations Entropy grain growth Monte Carlo simulation Cellular Automata multiscale modeling. |
| title | A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations |
| title_full | A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations |
| title_fullStr | A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations |
| title_full_unstemmed | A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations |
| title_short | A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations |
| title_sort | paradox of decreasing entropy in multiscale monte carlo grain growth simulations |
| topic | grain growth Monte Carlo simulation Cellular Automata multiscale modeling. |
| url | http://www.mdpi.com/1099-4300/10/2/49/ |
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