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Dynamics and thermodynamics of rotators interacting with both long- and short-range couplings

Author

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  • Campa, Alessandro
  • Giansanti, Andrea
  • Mukamel, David
  • Ruffo, Stefano

Abstract

The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of the ferromagnetic Hamiltonian mean field model (HMF) is studied. For a range of antiferromagnetic nearest-neighbor coupling, a canonical first-order transition is observed, and the canonical and microcanonical ensembles are non-equivalent. In studying the relaxation time of non-equilibrium states it is found that as in the HMF model, a class of non-magnetic states is quasi-stationary, with an algebraic divergence of their lifetime with the number of degrees of freedom N. The lifetime of metastable states is found to increase exponentially with N as expected.

Suggested Citation

  • Campa, Alessandro & Giansanti, Andrea & Mukamel, David & Ruffo, Stefano, 2006. "Dynamics and thermodynamics of rotators interacting with both long- and short-range couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 120-127.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:1:p:120-127
    DOI: 10.1016/j.physa.2006.01.003
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    Cited by:

    1. Bouchet, Freddy & Gupta, Shamik & Mukamel, David, 2010. "Thermodynamics and dynamics of systems with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4389-4405.
    2. Vesperini, Arthur & Franzosi, Roberto & Ruffo, Stefano & Trombettoni, Andrea & Leoncini, Xavier, 2021. "Fast collective oscillations and clustering phenomena in an antiferromagnetic mean-field model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).

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