Quenched localisation in the Bouchaud trap model with regularly varying traps
نویسنده
چکیده
This article describes the quenched localisation behaviour of the Bouchaud trap model on the integers with regularly varying traps. In particular, it establishes that for almost every trapping landscape there exist arbitrarily large times at which the system is highly localised on one site, and also arbitrarily large times at which the system is completely delocalised. §
منابع مشابه
Two-site localisation in the Bouchaud trap model with slowly varying traps
We consider the Bouchaud trap model on the integers in the case that the trap distribution has a slowly varying tail at infinity. We prove that the model eventually localises on exactly two sites with overwhelming probability. This is a stronger form of localisation than has previously been established in the literature for the Bouchaud trap model on the integers in the case of regularly varyin...
متن کاملLocalisation in 1D random random walks
Abstract. Diffusion in a one dimensional random force field leads to interesting localisation effects, which we study using the equivalence with a directed walk model with traps. We show that although the average dispersion of positions 〈x2〉 − 〈x〉2 diverges for long times, the probability that two particles occupy the same site tends to a finite constant in the small bias phase of the model. In...
متن کاملModels of Traps and Glass Phenomenology
We study various models of independent particles hopping between energy ‘traps’ with a density of energy barriers ρ(E), on a d dimensional lattice or on a fully connected lattice. If ρ(E) decays exponentially, a true dynamical phase transition between a high temperature ‘liquid’ phase and a low temperature ‘aging’ phase occurs. More generally, however, one expects that for a large class of ρ(E)...
متن کاملDetermination of suitable trap type for the Caspian crayfish, Astacus leptodactylus eichwaldi, in Anzali coastal area, Iran
The efficiency of different types of traps for catching of the Caspian Sea crayfish, Astacus leptodactylus eichwaldi, was investigated from Mar. 2002 to Feb. 2003. Totally 56 traps of four most commonly used types, "Rectangular trap", "Round trap", "Opera house trap" in two colors of "black" and "blue", and "Fathoms plus" only in black...
متن کاملA study on Isatis suspension trap efficiency; Advantages and disadvantages
Different types of sediment trap have been introduced so far to be used in erosion measuring stations, each with its own advantages and disadvantages in trapping aeolian particles. These traps have different collection and retention efficiency due to aerodynamic conditions. Some characteristics such as isokinetic feature of the trap, collection efficiency, time needed to download sediment, capa...
متن کامل