Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/B5CD5C21-50D7-441F-B72C-720D0909886C | - |
| Αναγνωριστικό | https://www.sciencedirect.com/science/article/pii/S0378437115008535?via%3Dihub | - |
| Αναγνωριστικό | https://doi.org/10.1016/j.physa.2015.10.007 | - |
| Γλώσσα | en | - |
| Μέγεθος | 15 pages | en |
| Τίτλος | Kinetic model of mass exchange with dynamic Arrhenius transition rates | en |
| Δημιουργός | Christopoulos Dionysios | en |
| Δημιουργός | Χριστοπουλος Διονυσιος | el |
| Δημιουργός | Muradova Aliki | en |
| Δημιουργός | Muradova Aliki | el |
| Εκδότης | Elsevier | en |
| Περίληψη | We study a nonlinear kinetic model of mass exchange between interacting grains. The transition rates follow the Arrhenius equation with an activation energy that depends dynamically on the grain mass. We show that the activation parameter can be absorbed in the initial conditions for the grain masses, and that the total mass is conserved. We obtain numerical solutions of the coupled, nonlinear, ordinary differential equations of mass exchange for the two-grain system, and we compare them with approximate theoretical solutions in specific neighborhoods of the phase space. Using phase plane methods, we determine that the system exhibits regimes of diffusive and growth-decay (reverse diffusion) kinetics. The equilibrium states are determined by the mass equipartition and separation nullcline curves. If the transfer rates are perturbed by white noise, numerical simulations show that the system maintains the diffusive and growth-decay regimes; however, the noise can reverse the sign of equilibrium mass difference. Finally, we present theoretical analysis and numerical simulations of a system with many interacting grains. Diffusive and growth-decay regimes are established as well, but the approach to equilibrium is considerably slower. Potential applications of the mass exchange model involve coarse-graining during sintering and wealth exchange in econophysics. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2018-10-19 | - |
| Ημερομηνία Δημοσίευσης | 2016 | - |
| Θεματική Κατηγορία | Diffusion | en |
| Θεματική Κατηγορία | Grain growth | en |
| Θεματική Κατηγορία | Growth-decay | en |
| Θεματική Κατηγορία | Kinetic model | en |
| Θεματική Κατηγορία | Non-equilibrium process | en |
| Θεματική Κατηγορία | Reverse diffusion | en |
| Βιβλιογραφική Αναφορά | D. T. Hristopulos and A. Muradova, "Kinetic model of mass exchange with dynamic Arrhenius transition rates," Physica A Stat. Mech. Appl., vol. 444, pp. 95-109, Feb. 2016. doi: 10.1016/j.physa.2015.10.007 | en |
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