Out-of-equilibrium states as statistical equilibria of an effective dynamics in a system with long-range interactions.
作者： Julien Barré , Freddy Bouchet , Thierry Dauxois , Stefano Ruffo
DOI: 10.1103/PHYSREVLETT.89.110601
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摘要: We study the formation of coherent structures in a system with long-range interactions where particles moving on circle interact through repulsive cosine potential. Nonequilibrium are shown to correspond statistical equilibria an effective dynamics, which is derived using averaging techniques. This simple behavior might be prototype others observed more complicated systems interactions, such as two-dimensional incompressible fluids and wave-particle interaction plasma.
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Nonlinear phenomena in atmospheric and oceanic sciences Springer-Verlag. ,(1992) , 10.1007/978-1-4757-0250-7
Vladimir Arnold, Singularities of Caustics and Wave Fronts ,(1990)
J. L. Lebowitz, J. Piasecki, Ya. Sinai, Scaling Dynamics of a Massive Piston in an Ideal Gas Springer Berlin Heidelberg. pp. 217- 227 ,(2000) , 10.1007/978-3-662-04062-1_9
G. B. Whitham, Richard G. Fowler, Linear and Nonlinear Waves ,(1974)
Erich Zauderer, Stephen F. Becker, Partial differential equations of applied mathematics ,(1983)
Akira Hasegawa, Self-organization processes in continuous media Advances in Physics. ,vol. 34, pp. 1- 42 ,(1985) , 10.1080/00018738500101721
T. Padmanabhan, Statistical mechanics of gravitating systems Physics Reports. ,vol. 188, pp. 285- 362 ,(1990) , 10.1016/0370-1573(90)90051-3
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, E. A. Cornell, Vortices in a Bose-Einstein Condensate Physical Review Letters. ,vol. 83, pp. 2498- 2501 ,(1999) , 10.1103/PHYSREVLETT.83.2498
K. W. Madison, F. Chevy, W. Wohlleben, J. Dalibard, Vortex formation in a stirred Bose-Einstein condensate quantum electronics and laser science conference. ,vol. 84, pp. 806- 809 ,(2000) , 10.1103/PHYSREVLETT.84.806
Thierry Dauxois, Michel Peyrard, Energy localization in nonlinear lattices. Physical Review Letters. ,vol. 70, pp. 3935- 3938 ,(1993) , 10.1103/PHYSREVLETT.70.3935