We study analytically the aging dynamics of the O(n) model in the limit of n → ∞, with conserved and with non-conserved order parameter. While in the non-conserved dynamics, the autocorrelation function scales in the usual way C(t, tw) = C(t/tw), in the case of a conserved order parameter, ‘multiscaling’ manifests itself in the form C(t, tw) = C(h(t)/h(tw)), with a relaxation time growing more ...

In this paper, we present a probabilistic model for the unsupervised morphological disambiguation problem. Our model assigns morphological parses T to the contexts C instead of assigning them to the words W . The target word w ∈ W determines the possible parse set Tw ⊂ T that can be used in w’s context cw ∈ C. To assign the correct morphological parse t ∈ Tw to w, our model finds the parse t ∈ ...

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that the an auto-correlation function, survival-return probability, shows crossover behavior from a power law t−x in the quasi-equilibrium regime (t ≪ tw) to another power law t −λ (λ ≥ x) in the off-equilibrium regime (t ≫ tw) obeying a simple t/tw s...

We present some simple computer simulations that indicate that at short time aging is realized in a simple model of binary glasses. It is interesting to note that modest computer simulations are enough to evidenziate this effect. We also find indications of a dynamically growing correlation length. Aging has been discovered long time ago and it is has been experimentally studied in great detail...

We study toy aging processes in hierarchically decomposed phase spaces where the equilibrium probability distributions are multifractal. We found that an autocorrelation function shows crossover behavior from a power law t−x in the quasi-equilibrium regime (t ≪ tw) to another power law t−λ (λ ≥ x) in the off-equilibrium regime (t ≫ tw) obeying a simple t/tw scaling law. The exponents x and λ ar...

In this note we present numerical simulations of binary mixtures. We study the diffusion of particles and the response to an external driving force. We find evidence for the validity of the Cugliandolo Kurchan off-equilibrium fluctuation dissipation relation. The results are in agreement with the predictions of one step replica symmetry breaking and the dependance of the breakpoint parameter on...

We monitor the relaxation of internal stresses in a fractal colloidal gel on cessation of flow and find a weak power-law decay, sigmai approximately t(-alpha) over five decades of time where alpha approximately 0.07. The system exhibits physical aging of the elastic modulus, G' approximately tbeta, with beta approximately alpha . Imposition of zero stress after waiting time tw results in strain...

The semilattice relevant logics ∪R, ∪T, ∪RW, and ∪TW (slightly different from the orthodox relevant logics R, T, RW, and TW) are defined by “semilattice models” in which conjunction and disjunction are interpreted in a natural way. In this paper, we prove the equivalence between “LK-style” and “LJ-style” labelled sequent calculi for these logics. (LKstyle sequents have plural succedents, while ...

In this paper we are mainly concerned with TW -domains, i.e., domains in which the wand t-operations coincide. Precisely, we investigate possible connections with related well-known classes. We characterize the TW -property in terms of divisoriality for Mori domains and Noetherian domains. Speci5cally, we prove that a Mori domain R is a TW -domain if and only if RM is a divisorial domain for ea...

The relaxational dynamics of 1+1 dimensional directed polymer in random potential is studied by Monte Carlo simulations. A series of temperature quench experiments is performed changing waiting times tw. Clear crossover from quasi-equilibrium behavior (t ≪ tw) to off-equilibrium behavior (t ≫ tw) appears in the dynamical overlap function whose scaling properties are very similar to those found ...