Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-12-11
Chandre, Leoncini, Zaslavsky Eds., Chaos, Complexity and Transport: Theory and Applications, World Scientific (2008) p. 3
Physics
Condensed Matter
Statistical Mechanics
Proceedings of the conference "Chaos, Complexity and Transport" (Marseille, 5-9 June 2007)
Scientific paper
Systems with long-range interactions display a short-time relaxation towards Quasi-Stationary States (QSSs), whose lifetime increases with system size. With reference to the Hamiltonian Mean Field (HMF) model, we here review Lynden-Bell's theory of ``violent relaxation''. The latter results in a maximum entropy scheme for a water-bag initial profile which predicts the presence of out-of-equilibrium phase transitions} separating homogeneous (zero magnetization) from inhomogeneous (non-zero magnetization) QSSs. Two different parametric representations of the initial condition are analyzed and the features of the phase diagram are discussed. In both representations we find a second order and a first order line of phase transitions that merge at a tricritical point. Particular attention is payed to the condition of existence and stability of the homogenous phase.
Chavanis Pierre-Henri
Fanelli Duccio
Ninno Giovanni de
Ruffo Stefano
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