From conformal invariance to quasistationary states

Abstract

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.

20 pages, 15 figures

References in corpus (5)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Quasistationarity in a model of classical spins with long-range interactions
• Different facets of the raise and peel model
• The pair annihilation reaction D + D --> 0 in disordered media and conformal invariance
• A conformal invariant growth model

Cited by in corpus (1)

• Quasi-stationary states in nonlocal stochastic growth models with infinitely many absorbing states