Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit
We consider the non-equilibrium dynamics for the Widom–Rowlinson model (without hard-core) in the continuum. The Lebowitz–Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this sy...
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| Format: | Article |
| Language: | English |
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Springer US
2016
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| Online Access: | http://hdl.handle.net/1721.1/103751 |
| _version_ | 1826195812276764672 |
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| author | Finkelshtein, Dmitri Kondratiev, Yuri Kutoviy, Oleksandr Oliveira, Maria João |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Finkelshtein, Dmitri Kondratiev, Yuri Kutoviy, Oleksandr Oliveira, Maria João |
| author_sort | Finkelshtein, Dmitri |
| collection | MIT |
| description | We consider the non-equilibrium dynamics for the Widom–Rowlinson model (without hard-core) in the continuum. The Lebowitz–Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this system are described. Their structure corresponds to the dynamical phase transition in the model. The bifurcation of the system is shown. |
| first_indexed | 2024-09-23T10:15:52Z |
| format | Article |
| id | mit-1721.1/103751 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:15:52Z |
| publishDate | 2016 |
| publisher | Springer US |
| record_format | dspace |
| spelling | mit-1721.1/1037512022-09-26T16:52:31Z Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit Finkelshtein, Dmitri Kondratiev, Yuri Kutoviy, Oleksandr Oliveira, Maria João Massachusetts Institute of Technology. Department of Mathematics Kutoviy, Oleksandr We consider the non-equilibrium dynamics for the Widom–Rowlinson model (without hard-core) in the continuum. The Lebowitz–Penrose-type scaling of the dynamics is studied and the system of the corresponding kinetic equations is derived. In the space-homogeneous case, the equilibrium points of this system are described. Their structure corresponds to the dynamical phase transition in the model. The bifurcation of the system is shown. Deutsche Forschungsgemeinschaft (DFG, CRC 701, Research Group “Stochastic Dynamics: Mathematical Theory and Applications” at ZiF) Fundação para a Ciência e a Tecnologia (Portugal) (PTDC/MAT/100983/2008) Fundação para a Ciência e a Tecnologia (Portugal) (PTDC/MAT-STA/1284/2012) Fundação para a Ciência e a Tecnologia (Portugal) (PEst OE/MAT/UI0209/2013) 2016-07-18T20:23:07Z 2016-07-18T20:23:07Z 2014-09 2016-05-23T12:17:04Z Article http://purl.org/eprint/type/JournalArticle 0022-4715 1572-9613 http://hdl.handle.net/1721.1/103751 Finkelshtein, Dmitri, Yuri Kondratiev, Oleksandr Kutoviy, and Maria João Oliveira. “Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit.” J Stat Phys 158, no. 1 (September 30, 2014): 57–86. en http://dx.doi.org/10.1007/s10955-014-1124-6 Journal of Statistical Physics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. Springer Science+Business Media New York application/pdf Springer US Springer US |
| spellingShingle | Finkelshtein, Dmitri Kondratiev, Yuri Kutoviy, Oleksandr Oliveira, Maria João Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title | Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title_full | Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title_fullStr | Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title_full_unstemmed | Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title_short | Dynamical Widom–Rowlinson Model and Its Mesoscopic Limit |
| title_sort | dynamical widom rowlinson model and its mesoscopic limit |
| url | http://hdl.handle.net/1721.1/103751 |
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