Abstract.
In this work we analyze, for the Hamiltonian Mean Field model, the relationship between the existence of quasi-stationary long-standing trajectories and the topology of the potential energy, following the ideas recently introduced in the literature [CITE]. In particular, we study the way topology alters the distribution of momenta along the trajectories as well asthe long-time behavior of the system.
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F.A. Tamarit, C.G. Maglione, C. Anteneodo, D. Stariollo, Phys. Rev. E 71, 036148 (2005)
M. Antoni, S. Ruffo, Phys. Rev. E 52, 2361 (1995)
M. Schmidt, R. Kusche, T. Hippler, J. Donges, W. Kronmüller, B. von Issendorff, H. Haberland, Phys. Rev. Lett. 86, 1191 (2001)
M. Antoni, H. Hinrichsen, S. Ruffo, Chaos, Solit. Fract. 13, 393 (2002)
V. Latora, A. Rapisarda, S. Ruffo, Phys. Rev. Lett. 80, 692 (1998); V. Latora, A. Rapisarda, S. Ruffo, Physica D 131, 38 (1999); V. Latora, A. Rapisarda, S. Ruffo, Phys. Rev. Lett. 83, 2104 (1999); V. Latora, A. Rapisarda, S. Ruffo, Physica A 280, 81 (2000); V. Latora, A. Rapisarda, Chaos, Solit. Fract. 13, 401 (2001); V. Latora, A. Rapisarda, C. Tsallis, Phys. Rev. E 64, 056134 (2001)
M.A. Montemurro, F.A. Tamarit, C. Anteneodo, Phys. Rev. E 67, 031106 (2003); A. Pluchino, V. Latora, A. Rapisarda, Physica D 193, 315 (2004); Physica A 338, 60 (2004); Phys. Rev. E 69, 056113 (2004)
D.H. Zanette, M.A. Montemurro, Phys. Rev. E 67, 031105 (2003); Y.Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, Physica A 337, 36 (2004); F. Baldovin, E. Orlandini, Phys. Rev. Lett. 96, 240602 (2006); F. Baldovin, E. Orlandini, Phys. Rev. Lett. 97, 100601 (2006)
C. Tsallis, J. Stat. Phys. 52, 479 (1988); Nonextensive Mechanics and Thermodynamics, edited by S. Abe and Y. Okamoto, Lect. Notes Phys. 560 (Springer, Berlin, 2001); in Non-Extensive Entropy-Interdisciplinary Applications, edited by M. Gell-Mann, C. Tsallis (Oxford University Press, Oxford, 2004)
L. Casetti, E.G.D. Cohen, M. Pettini, Phys. Rev. Lett. 82, 4160 (1999); L. Casetti, E.G.D. Cohen, M. Pettini, Phys. Rev. E 65, 036112 (2002); L. Casetti, M. Pettini, E.G.D. Cohen, J. Stat. Phys. 111, 1091 (2003)
H. Yoshida, Phys. Lett. A 150, 262 (1990)
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Tauro, C., Maglione, G. & Tamarit, F. Relaxation dynamics and topology in the Hamiltonian Mean Field model. Eur. Phys. J. Spec. Top. 143, 9–12 (2007). https://doi.org/10.1140/epjst/e2007-00064-4
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DOI: https://doi.org/10.1140/epjst/e2007-00064-4