Relaxation and diffusion in a globally coupled Hamiltonian system.

作者: Yoshiyuki Y. Yamaguchi

DOI: 10.1103/PHYSREVE.68.066210

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摘要: The relation between relaxation and diffusion is investigated in a Hamiltonian system of globally coupled rotators. Diffusion anomalous if only the going towards equilibrium. anomaly not taking power-type function, but transient due to nonstationarity. For certain type initial condition, quasistationary states, can be explained by stretched exponential correlation whose stretching exponent almost constant time linear as functions degrees freedom. full evolution characterized varying time.

参考文章(26)
Mickael Antoni, Stefano Ruffo, Clustering and relaxation in Hamiltonian long-range dynamics Physical Review E. ,vol. 52, pp. 2361- 2374 ,(1995) , 10.1103/PHYSREVE.52.2361
Alessandro Torcini, Mickaël Antoni, EQUILIBRIUM AND DYNAMICAL PROPERTIES OF TWO-DIMENSIONAL N-BODY SYSTEMS WITH LONG-RANGE ATTRACTIVE INTERACTIONS Physical Review E. ,vol. 59, pp. 2746- 2763 ,(1999) , 10.1103/PHYSREVE.59.2746
Toshio Tsuchiya, Naoteru Gouda, Tetsuro Konishi, Relaxation processes in one-dimensional self-gravitating many-body systems Physical Review E. ,vol. 53, pp. 2210- 2216 ,(1996) , 10.1103/PHYSREVE.53.2210
Y. Y. Yamaguchi, Slow Relaxation at Critical Point of Second Order Phase Transition in a Highly Chaotic Hamiltonian System Progress of Theoretical Physics. ,vol. 95, pp. 717- 731 ,(1996) , 10.1143/PTP.95.717
Vito Latora, Andrea Rapisarda, Constantino Tsallis, Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system arXiv: Statistical Mechanics. ,(2001) , 10.1016/S0378-4371(01)00651-3
Vito Latora, Andrea Rapisarda, Constantino Tsallis, Non-Gaussian equilibrium in a long-range Hamiltonian system Physical Review E. ,vol. 64, pp. 056134- ,(2001) , 10.1103/PHYSREVE.64.056134
T. Geisel, J. Nierwetberg, A. Zacherl, Accelerated diffusion in Josephson junctions and related chaotic systems. Physical Review Letters. ,vol. 54, pp. 616- 619 ,(1985) , 10.1103/PHYSREVLETT.54.616
J. Klafter, G. Zumofen, Lévy statistics in a Hamiltonian system Physical Review E. ,vol. 49, pp. 4873- 4877 ,(1994) , 10.1103/PHYSREVE.49.4873
Vito Latora, Andrea Rapisarda, Stefano Ruffo, Lyapunov Instability and Finite Size Effects in a System with Long-Range Forces Physical Review Letters. ,vol. 80, pp. 692- 695 ,(1998) , 10.1103/PHYSREVLETT.80.692
Vito Latora, Andrea Rapisarda, Stefano Ruffo, SUPERDIFFUSION AND OUT-OF-EQUILIBRIUM CHAOTIC DYNAMICS WITH MANY DEGREES OF FREEDOMS Physical Review Letters. ,vol. 83, pp. 2104- 2107 ,(1999) , 10.1103/PHYSREVLETT.83.2104