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Journal
2012 | 10 | 3 | 652-659
Article title

Phase transitions of quasistationary states in the Hamiltonian Mean Field model

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EN
Abstracts
EN
The out-of equilibrium dynamics of the Hamiltonian Mean Field (HMF) model is studied in presence of an externally imposed magnetic field h. Lynden-Bell’s theory of violent relaxation is revisited and shown to adequately capture the system dynamics, as revealed by direct Vlasov based numerical simulations in the limit of vanishing field. This includes the existence of an out-of-equilibrium phase transition separating magnetized and non magnetized phases. We also monitor the fluctuations in time of the magnetization, which allows us to elaborate on the choice of the correct order parameter when challenging the performance of Lynden-Bell’s theory. The presence of the field h removes the phase transition, as it happens at equilibrium. Moreover, regions with negative susceptibility are numerically found to occur, in agreement with the predictions of the theory.
Publisher

Journal
Year
Volume
10
Issue
3
Pages
652-659
Physical description
Dates
published
1 - 6 - 2012
online
17 - 6 - 2012
Contributors
author
  • Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Code Postal 231, Campus Plaine, B-1050, Brussels, Belgium, pdebuyl@ulb.ac.be
  • Dipartimento di Energetica “S. Stecco” and CSDC, University of Florence, CNISM and INFN, Via S. Marta 3, 50139, Florence, Italy, duccio.fanelli@unifi.it
References
  • [1] A. Campa, T. Dauxois, S. Ruffo, Phys. Rep. 480, 57 (2009) http://dx.doi.org/10.1016/j.physrep.2009.07.001[Crossref]
  • [2] T. Dauxois, S. Ruffo, L. Cugliandolo (Eds.), Long-Range Interacting Systems, Lecture Notes of the Les Houches Summer School: Volume 90, August 2008, Oxford University Press (2009)
  • [3] Y.Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, S. Ruffo, Physica A 337, 36 (2004) http://dx.doi.org/10.1016/j.physa.2004.01.041[Crossref]
  • [4] A. Antoniazzi, F. Califano, D. Fanelli, S. Ruffo, Phys. Rev. Lett. 98, 150602 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.150602[Crossref]
  • [5] J. Barré, T. Dauxois, G. De Ninno, D. Fanelli, S. Ruffo, Phys. Rev. E 69, 045501(R) (2004) http://dx.doi.org/10.1103/PhysRevE.69.045501[Crossref]
  • [6] D. Lynden-Bell, R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968)
  • [7] Y. Y. Yamaguchi, Phys. Rev. E 78, 041114 (2008) http://dx.doi.org/10.1103/PhysRevE.78.041114[Crossref]
  • [8] M. Joyce, T. Worrakitpoonpon, J. Stat. Mech. P10012 (2010)
  • [9] M. Antoni, S. Ruffo, Phys. Rev. E 52 (1995)
  • [10] P. H. Chavanis, Eur. Phys. J. B 53, 487 (2006) http://dx.doi.org/10.1140/epjb/e2006-00405-5[Crossref]
  • [11] A. Antoniazzi, D. Fanelli, S. Ruffo, Y.Y. Yamaguchi, Phys. Rev. Lett. 99, 040601 (2007) http://dx.doi.org/10.1103/PhysRevLett.99.040601[Crossref]
  • [12] G. De Ninno, D. Fanelli, Europhys. Lett. 97, 20002 (2012) http://dx.doi.org/10.1209/0295-5075/97/20002[Crossref]
  • [13] P. H. Chavanis, Eur. Phys. J. B 80, 275 (2011) http://dx.doi.org/10.1140/epjb/e2011-10882-x[Crossref]
  • [14] F. Staniscia, P. H. Chavanis, G. De Ninno, Phys. Rev. E. 83, 051111 (2011) http://dx.doi.org/10.1103/PhysRevE.83.051111[Crossref]
  • [15] S. Ogawa, Y. Y. Yamaguchi, Phys. Rev. E. 84, 061140 (2011) http://dx.doi.org/10.1103/PhysRevE.84.061140[Crossref]
  • [16] R. Bachelard, C. Chandre, D. Fanelli, X. Leoncini, S. Ruffo, Phys. Rev. Lett. 101, 260603 (2008) http://dx.doi.org/10.1103/PhysRevLett.101.260603[Crossref]
  • [17] J. Barré, Y. Y. Yamaguchi, Phys. Rev. E. 79, 036208 (2009) http://dx.doi.org/10.1103/PhysRevE.79.036208[Crossref]
  • [18] Y. Y. Yamaguchi, Phys. Rev. E. 84, 016211 (2011) http://dx.doi.org/10.1103/PhysRevE.84.016211[Crossref]
  • [19] P. de Buyl, Commun. Nonlinear Sci. Numer. Simulat. 15, 2133 (2010) http://dx.doi.org/10.1016/j.cnsns.2009.08.020[Crossref]
  • [20] R. Pakter, Y. Levin, Phys. Rev. Lett. 106, 200603 (2011) http://dx.doi.org/10.1103/PhysRevLett.106.200603[Crossref]
  • [21] P. de Buyl, D. Mukamel, S. Ruffo, Phil. Trans. R. Soc. A 369, 439 (2011) http://dx.doi.org/10.1098/rsta.2010.0251[Crossref]
  • [22] P. de Buyl, D. Mukamel, S. Ruffo, Phys. Rev. E 84, 061151 (2011) http://dx.doi.org/10.1103/PhysRevE.84.061151[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0010-6
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