A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations
AbstractGrain 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.
Scifeed alert for new publicationsNever miss any articles matching your research from any publisher
- Get alerts for new papers matching your research
- Find out the new papers from selected authors
- Updated daily for 49'000+ journals and 6000+ publishers
- Define your Scifeed now
Nosonovsky, M.; Esche, S.K. A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations. Entropy 2008, 10, 49-54.
Nosonovsky M, Esche SK. A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations. Entropy. 2008; 10(2):49-54.Chicago/Turabian Style
Nosonovsky, Michael; Esche, Sven K. 2008. "A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations." Entropy 10, no. 2: 49-54.