PL EN


Preferences help
enabled [disable] Abstract
Number of results
Journal
2012 | 10 | 3 | 637-644
Article title

Long-time asymptotics of the long-range Emch-Radin model

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
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.
Publisher

Journal
Year
Volume
10
Issue
3
Pages
637-644
Physical description
Dates
published
1 - 6 - 2012
online
17 - 6 - 2012
References
  • [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]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-011-0122-4
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.