| Autor: |
Esposito, R., Guo, Y., Marra, R. |
| Rok vydání: |
2009 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s00220-010-1009-8 |
| Popis: |
There are not many kinetic models where it is possible to prove bifurcation phenomena for any value of the Knudsen number. Here we consider a binary mixture over a line with collisions and long range repulsive interaction between different species. It undergoes a segregation phase transition at sufficiently low temperature. The spatially homogeneous Maxwellian equilibrium corresponding to the mixed phase, minimizing the free energy at high temperature, changes into a maximizer when the temperature goes below a critical value, while non homogeneous minimizers, corresponding to coexisting segregated phases, arise. We prove that they are dynamically stable with respect to the Vlasov-Boltzmann evolution, while the homogeneous equilibrium becomes dynamically unstable. |
| Databáze: |
arXiv |
| Externí odkaz: |
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