Out of equilibrium phase transitions in mean field Hamiltonian dynamics - Condensed Matter > Statistical MechanicsReportar como inadecuado




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Abstract: Systems with long-range interactions display a short-time relaxation towardsQuasi-Stationary States QSSs, whose lifetime increases with system size. Withreference to the Hamiltonian Mean Field HMF model, we here reviewLynden-Bell-s theory of ``violent relaxation-. The latter results in a maximumentropy scheme for a water-bag initial profile which predicts the presence ofout-of-equilibrium phase transitions} separating homogeneous zeromagnetization from inhomogeneous non-zero magnetization QSSs. Two differentparametric representations of the initial condition are analyzed and thefeatures of the phase diagram are discussed. In both representations we find asecond order and a first order line of phase transitions that merge at atricritical point. Particular attention is payed to the condition of existenceand stability of the homogenous phase.



Autor: Pierre-Henri Chavanis, Giovanni De Ninno, Duccio Fanelli, Stefano Ruffo

Fuente: https://arxiv.org/







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