We study the Glauber dynamics at zero temperature of spins placed on the vertices of an uncorrelated network with a power law degree distribution. Application of mean-field theory yields as the main prediction that for symmetric disordered initial conditions the mean time for reaching full order is finite or diverges as a logarithm of the system size N , depending on the exponent of the degree ...

Abstract. We study models of continuous-time, symmetric, Z-valued random walks in random environments, driven by a field of i.i.d. random nearest-neighbor conductances ωxy ∈ [0, 1] with a power law with an exponent γ near 0. We are interested in estimating the quenched decay of the return probability P t ω(0, 0), as t tends to +∞. We show that for γ > d2 , the standard bound turns out to be of ...

We give necessary and sufficient conditions for the almost sure (a.s.) relative stability of the overshoot of a random walk when it exits from a two-sided symmetric region with curved boundaries. The boundaries are of power-law type, ±rn, r > 0, n = 1, 2, · · · , where 0 ≤ b < 1, b 6= 1/2. In these cases, the a.s. stability occurs if and only if the mean step length of the random walk is finite...

this paper presents a clear monograph on the optimization of thermal instability resistance of the fg (functionally graded) flat structures. for this aim, two fg flat structures, namely an fg beam and an fg circular plate, are considered. these structures are assumed to obey the first-order shear deformation theory, three-parameters power-law distribution of the constituents, and clamped bounda...

The density profiles and other quantities of physical interest for spherically symmetric systems are computed by assuming that a collisionless stellar gas may relax to the non-Gaussian power law distribution suggested by the nonex-tensive kinetic theory. There are two different classes of solutions. The first class behaves like a subset of the polytropic Lane-Emden spheres, whereas the second o...

We prove the power law decay p(t, x) ∼ t−φ(x,b)/2 in which p(t, x) is the probability that the fraction of time up to t in which a random walk S of i.i.d. zero-mean increments taking finitely many values, is non-negative, exceeds x throughout s ∈ [1, t]. Here φ(x, b) = P(Lévy(1/2, κ(x, b)) < 0) for κ(x, b) = √ 1−xb− √ 1+x √ 1−xb+ √ 1+x and b = bS > 0 measuring the asymptotic asymmetry between p...

We present a numerical framework to simulate pedestrian dynamics in highly competitive conditions by means of a force-based model implemented with spherocylindrical particles instead of the traditional, symmetric disks. This modification of the individuals' shape allows one to naturally reproduce recent experimental findings of room evacuations through narrow doors in situations where the conta...

Phase separation in binary and ternary fluids is studied using a two-dimensional lattice gas automata. The lengths given by the the first zero crossing point of the correlation function and the total interface length is shown to exhibit power law dependence on time. In binary mixtures, our data clearly indicate the existence of a regime having more than one length scale, where the coarsening pr...

We report, for the first time, the dependence of the multiplicity of different fragments on the system size employing a quantum molecular dynamics model. This dependence is extracted from the simulations of symmetric collisions of Ca+Ca, Ni+Ni, Nb+Nb, Xe+Xe, Er+Er, Au+Au and U+U at incident energies between 50 A MeV and 1 A GeV. We find that the multiplicity of different fragments scales with t...

I study the Chaté–Manneville cellular automata rules on randomly connected lattices. The periodic and quasi–periodic macroscopic behaviours associated with these rules on finite–dimensional lattices persist on an infinite– dimensional lattice with finite connectivity and symmetric bonds. The lower critical connectivity for these models is at C = 4 and the mean–field connectivity, if finite, is ...