Molecular dynamics computer simulations are used to study the aging dynamics of SiO2 (modeled by the BKS model). Starting from fully equilibrated configurations at high temperatures Ti∊{5000 K,3760 K}, the system is quenched to lower temperatures Tf∊{2500 K,2750 K,3000 K,3250 K} and observed after a waiting time tw. Since the simulation runs are long enough to reach equilibrium at Tf, we are ab...

Let Ei be a collection of i.i.d. exponential random variables. Bouchaud’s model on Z is a Markov chain X(t) whose transition rates are given by wij = ν exp(−β((1 − a)Ei − aEj)) if i, j are neighbours in Z. We study the behaviour of two correlation functions: P[X(tw + t) = X(tw)] and P [ X(t) = X(tw)∀t′ ∈ [tw, tw + t] ] . We prove the (sub)aging behaviour of these functions when β > 1 and a ∈ [0...

Aging dynamics in glassy systems is investigated by considering the hopping motion in a rugged energy landscape whose deep minima are characterized by an exponential density of states ρ(E) = T g exp(E/Tg), −∞<E≤0. In particular we explore the behavior of a generic two-time correlation function Π(tw+t, tw) below the glass transition temperature Tg when both the observation time t and the waiting...

– The relation between the autocorrelation C(t, tw) and the integrated linear response function χ(t, tw) is studied in the context of the large-N model for phase-ordering systems subjected to a shear flow. In the high temperature phase T > Tc a non-equilibrium stationary state is entered which is characterized by a non-trivial fluctuation-dissipation relation χ(t − tw) = ˜ χ(C(t − tw)). For que...

In this paper, a dual-rotor slotless axial-flux permanent magnet (AFPM) motor with equidirectional toroidal winding (ED-TW) is proposed and compared the AFPM traditional (T-TW) same dimensions, number of coils poles. Different from T-TW, only positive sides ED-TW are left on one side stator core, return all removed to other core. Firstly, structure operation principle two motors introduced anal...

The centralizer C(w) of an element w in a Weyl group W plays an important role in the structure and representation theory of split reductive groups G over finite and p-adic fields k, where W is the absolute Weyl group of G. If k is finite, this is well-known: the element w determines a maximal ktorus Tw ⊂ G and C(w) may be identified with the k-rational points in the Weyl group W (Tw, G) of Tw ...

Investigation of asymptotic properties of a statistical estimator or of a testing statistic often leads to a linear transformation of a Wiener process that born a Wiener process or a Brownian bridge. Let us recall some typical examples of such transformations. Provided a Wiener process (W(t) , £ > 0) the processes (^W(a • t) ,t > 0), a T-: 0 and (tW(\) , £ > 0) are Wiener processes and (W(t) tW...

The low temperature dynamics of the three dimensional Ising spin glass in zero field with a discrete bond distribution is investigated via MC simulations. The thermoremanent magnetization is found to decay algebraically and the temperature dependent exponents agree very well with the experimentally determined values. The nonequilibrium autocorrelation function C(t, tw) shows a crossover at the ...

The low-temperature dynamics of the twoand three-dimensional Ising spin-glass model with Gaussian couplings is investigated via extensive Monte Carlo simulations. We find an algebraic decay of the remanent magnetization. For the autocorrelation function C(t ,tw)5@^Si(t1tw)Si(tw)&#av a typical aging scenario with a t/tw scaling is established. Investigating spatial correlations we find an algebr...