From conformal invariance to quasistationary states

Details From conformal invariance to quasistationary states From conformal invariance to quasistationary states

2011-07-13

arxiv.org/abs/1107.2618v1

Journal of Statistical Mechanics P09030 (2011)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 15 figures

Scientific paper

10.1088/1742-5468/2011/09/P09030

In a conformal invariant one-dimensional stochastic model, a certain non-local perturbation takes the system to a new massless phase of a special kind. The ground-state of the system is an adsorptive state. Part of the finite-size scaling spectrum of the evolution Hamiltonian stays unchanged but some levels go exponentially to zero for large lattice sizes becoming degenerate with the ground-state. As a consequence one observes the appearance of quasistationary states which have a relaxation time which grows exponentially with the size of the system. Several initial conditions have singled out a quasistationary state which has in the finite-size scaling limit the same properties as the stationary state of the conformal invariant model.

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