Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
The long-time asymptotic behaviour is studied for a long-range variant of the Emch-Radin model of interacting spins. We derive upper and lower bounds on the expectation values of a class of observables. We prove analytically that the time scale at which the system relaxes to equilibrium diverges with the system size N, displaying quasistationary nonequilibrium behaviour. This finding implies that, for large enough N, equilibration will not be observed in an experiment of finite duration.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
637-644
Opis fizyczny
Daty
wydano
2012-06-01
online
2012-06-17
Twórcy
autor
Bibliografia
- [1] D. Lynden-Bell, R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968)
- [2] W. Thirring, Z. Phys. 235, 339 (1970) http://dx.doi.org/10.1007/BF01403177[Crossref]
- [3] M. Kastner, Phys. Rev. Lett. 104, 240403 (2010a) http://dx.doi.org/10.1103/PhysRevLett.104.240403[Crossref]
- [4] M. Kastner, J. Stat. Mech.-Theory E 2010, P07006 (2010b) http://dx.doi.org/10.1088/1742-5468/2010/07/P07006[Crossref]
- [5] A. Campa, T. Dauxois, S. Ruffo, Phys. Rep. 480, 57 (2009) http://dx.doi.org/10.1016/j.physrep.2009.07.001[Crossref]
- [6] M. Antoni, S. Ruffo, Phys. Rev. E 52, 2361 (1995) http://dx.doi.org/10.1103/PhysRevE.52.2361[Crossref]
- [7] M. Joyce, T. Worrakitpoonpon, J. Stat. Mech.-Theory E 2010, P10012 (2010) http://dx.doi.org/10.1088/1742-5468/2010/10/P10012[Crossref]
- [8] A. Gabrielli, M. Joyce, B. Marcos, Phys. Rev. Lett. 105, 210602 (2010) http://dx.doi.org/10.1103/PhysRevLett.105.210602[Crossref]
- [9] J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, Y. Y. Yamaguchi, Physica A 365, 177 (2006) http://dx.doi.org/10.1016/j.physa.2006.01.005[Crossref]
- [10] A. Antoniazzi, D. Fanelli, J. Barré, P.-H. Chavanis, T. Dauxois, S. Ruffo, Phys. Rev. E 75, 011112 (2007) http://dx.doi.org/10.1103/PhysRevE.75.011112[Crossref]
- [11] F. Bouchet, S. Gupta, D. Mukamel, Physica A 389, 4389 (2010) http://dx.doi.org/10.1016/j.physa.2010.02.024[Crossref]
- [12] P.-H. Chavanis, F. Baldovin, E. Orlandini, Phys. Rev. E 83, 040101 (2011) http://dx.doi.org/10.1103/PhysRevE.83.040101[Crossref]
- [13] M. Kastner, Phys. Rev. Lett. 106, 130601 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.130601[Crossref]
- [14] G. G. Emch, J. Math. Phys. 7, 1198 (1966) http://dx.doi.org/10.1063/1.1705023[Crossref]
- [15] C. Radin, J. Math. Phys. 11, 2945 (1970) http://dx.doi.org/10.1063/1.1665079[Crossref]
- [16] F. J. Dyson, Commun. Math. Phys. 12, 91 (1969) http://dx.doi.org/10.1007/BF01645907[Crossref]
- [17] W. F. Wreszinski, J. Stat. Phys. 138, 567 (2010) http://dx.doi.org/10.1007/s10955-009-9889-8[Crossref]
- [18] G. A. Baker, Phys. Rev. 122, 1477 (1961) http://dx.doi.org/10.1103/PhysRev.122.1477[Crossref]
- [19] I. J. Lowe, R. E. Norberg, Phys. Rev. 107, 46 (1957) http://dx.doi.org/10.1103/PhysRev.107.46[Crossref]
- [20] F. W. J. Olver, D. W. Lozier, R. F. Boisvert, C. W. Clark (Eds.), NIST handbook of mathematical functions (Cambridge University Press, Cambridge, 2010)
- [21] T. Kinoshita, T. Wenger, D. S. Weiss, Nature 440, 900 (2006) http://dx.doi.org/10.1038/nature04693[Crossref]
- [22] M. Rigol, Phys. Rev. Lett. 103, 100403 (2009) http://dx.doi.org/10.1103/PhysRevLett.103.100403[Crossref]
- [23] A. Relaño, J. Stat. Mech.-Theory E 2010, P07016 (2010) http://dx.doi.org/10.1088/1742-5468/2010/07/P07016[Crossref]
- [24] M. Cramer, C. M. Dawson, J. Eisert, T. J. Osborne, Phys. Rev. Lett. 100, 030602 (2008) http://dx.doi.org/10.1103/PhysRevLett.100.030602[Crossref]
- [25] A. Polkovnikov, K. Sengupta, A. Silva, M. Vengalattore, Rev. Mod. Phys. 83, 863 (2011) http://dx.doi.org/10.1103/RevModPhys.83.863[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0122-4