We construct a real space renormalization group (RG) approach for Ising spin glasses on hypercubic lattices within the scheme of the Migdal-Kadanoff approximation using replicas. Our replica symmetric solution yields results consistent with simple decimation previously obtained and the introduction of breaking of replica symmetry within the RG is discussed, which inserts in a natural fashion no...

We study the statistical mechanics of a model describing the coevolution of species interacting in a random way. We find that at high competition replica symmetry is broken. We solve the model in the approximation of one step replica symmetry breaking and we compare our findings with accurate numerical simulations.

A field-theoretic description of the critical behaviour of the weakly disordered systems is given. Directly, for three-and two-dimensional systems a renormal-ization analysis of the effective Hamiltonian of model with replica symmetry breaking (RSB) potentials is carried out in the two-loop approximation. For case with 1-step RSB the fixed points (FP's) corresponding to stability of the various...

Reliable measurement of electrical charge transport in molecular layers is a delicate task that requires establishing contacts with electrodes without perturbing the molecular structure of the film. We show how this can be achieved by means of novel device consisting of ultra-flat electrodes separated by insulating material to support the molecular film. We show the fabrication process of these...

In vehicular ad hoc networks (VANETs), it is difficult for nodes to reliably access data on other nodes due to the mobility of vehicles. To improve the accessibility by certain vehicles to data generated at other vehicles, it is effective to distribute replicas of such data. However, if the density of vehicles is low, it is difficult to distribute an adequate number of replicas. In this paper, ...

A method for measuring the occlusal wear of the restorations was devised newly and its precision was examined. The positive resin replicas of a specially designed metal prototype with a slope and an artificial ivory teeth before and after reducinng the occlusal portion were produced using the silicone impressions. The distance between the given portion of the prototype and the positive replica ...

Systems undergoing an equilibrium phase transition from a liquid state to an amorphous solid state exhibit certain universal characteristics. Chief among these are the fraction of particles that are randomly localized and the scaling functions that describe the order parameter and ~equivalently! the statistical distribution of localization lengths for these localized particles. The purpose of t...

Data Grid is a type of Grid Computing systems whichis designed to provide geographically distributed data resources to large computational problems that require mining and evaluating large amounts of data. Managing this data in a centralized location increases the data access time and hence much time is taken to execute the job. So to reduce the data access time, "Replication" is used. Data rep...

Symmetry considerations and a direct, Hubbard-Stratonovich type, derivation are used to construct a replica field-theory relevant to the study of the spin glass transition of short range models in a magnetic field. A mean-field treatment reveals that two different types of transitions exist, whenever the replica number n is kept larger than zero. The Sherrington-Kirkpatrick critical point in ze...