A Paradox of Decreasing Entropy in Multiscale Monte Carlo Grain Growth Simulations
Open Access
- 15 June 2008
- Vol. 10 (2), 49-54
- https://doi.org/10.3390/entropy-e10020049
Abstract
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.Keywords
This publication has 12 references indexed in Scilit:
- Scaling of Monte Carlo simulations of grain growth in metalsModelling and Simulation in Materials Science and Engineering, 2009
- Multiscale friction mechanisms and hierarchical surfaces in nano- and bio-tribologyMaterials Science and Engineering: R: Reports, 2007
- Cellular Automata in Materials Science with Particular Reference to Recrystallization SimulationAnnual Review of Materials Research, 2002
- Mesoscopic simulation of two-dimensional grain growth with anisotropic grain-boundary propertiesPhilosophical Magazine A, 2002
- Coupled quantitative simulation of microstructural evolution and plastic flow during dynamic recrystallizationActa Materialia, 2001
- Prediction of Microstructural Evolution during Grain Growth of a Pure Aluminum by means of Monte Carlo SimulationMATERIALS TRANSACTIONS, 2001
- Three dimensional Monte Carlo simulation of grain growth during GTA welding of titaniumActa Materialia, 2000
- Scaling Monte Carlo kinetics of the Potts model using rate theoryActa Materialia, 2000
- Diversity and EntropyEntropy, 1999
- Monte Carlo Simulation of Grain Growth.ISIJ International, 1992