The Abdus Salam International Centre for Theoretical Physics the Response of Glassy Systems to Random Perturbations: a Bridge between Equilibrium and Off-equilibrium
نویسندگان
چکیده
We discuss the response of aging systems with short-range interactions to a class of random perturbations. Although these systems are out of equilibrium, the limit value of the free energy at long times is equal to the equilibrium free energy. By exploiting this fact, we define a new order parameter function, and we relate it to the ratio between response and fluctuation, which is in principle measurable in an aging experiment. For a class of systems possessing stochastic stability, we show that this new order parameter function is intimately related to the static order parameter function, describing the distribution of overlaps between clustering states. The same method is applied to investigate the geometrical organization of pure states. We show that the ultrametric organization in the dynamics implies static ultrametricity, and we relate these properties to static separability, i.e., the property that the measure of the overlap between pure states is essentially unique. Our results, especially relevant for spin glasses, pave the way to an experimental determination of the order parameter function.
منابع مشابه
United Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS SOME RESULTS ON THE ASYMPTOTIC BEHAVIOUR OF HYPERBOLIC SINGULAR PERTURBATIONS PROBLEMS
Anisotropic singular perturbations of linear hyperbolic problems are considered. A description of the asymptotic behaviour of the solution as ε → 0 is given. In the case of cylindrical domains, we improve the rate of convergence in regions far from the lateral boundary.
متن کاملUnited Nations Educational, Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS HYBRID APPROXIMATION OF SOLUTIONS OF NONLINEAR OPERATOR EQUATIONS AND APPLICATION TO EQUATION OF HAMMERSTEIN-TYPE
In this paper we study the hybrid iterative scheme to find a common element of a set of solutions of generalized mixed equilibrium problem, a set of common fixed points of finite family of weak relatively nonexpansive mapping, and null spaces of finite family of γ-inverse strongly monotone mappings in a 2-uniformly convex and uniformly smooth real Banach space. Our results extend, improve and g...
متن کاملIC/98/108 United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS RANDOM FIXED POINTS OF SET-VALUED MAPS
Some random fixed point theorems for set-valued random operators under very mild conditions are established. Some recent results of O'Regan ([Proc. Amer. Math. Soc. 126 (1998), 3045-3053] and [Computers Math. Applic. 35 (1998), 27-34]) are improved significantly. The discussion in this paper underlines, in addition to generality, the unifying aspects of our result.
متن کاملTheoretical Study of OH Adsorption on PdxCu3-x (x = 0-3) Nano Clusters
Adsorption of OH on the PdxCu3-x(x=0-3) small clusters is investigated by density functional theory calculations. It is found that OH adsorbs in three possible modes including on top, bridge and hollow sites while the structures where OH bridges between two atoms are the most stable structures. The Pd-Pd, Pd-Cu and Cu-Cu equilibrium distances for most of the systems...
متن کامل