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12,016 records were found.

Generation of unpredictable time series by a Neural Network

Comment: 11 pages, 14 figures; slightly expanded and clarified, mistakes corrected; accepted for publication in PRE

Nature of vibrational eigenmodes in topologically disordered solids

We use a local projectional analysis method to investigate the effect of topological disorder on the vibrational dynamics in a model glass simulated by molecular dynamics. Evidence is presented that the vibrational eigenmodes in the glass are generically related to the corresponding eigenmodes of its crystalline counterpart via disorder-induced level-repelling and hybridization effects. It is argued that the effect of topological disorder in the glass on the dynamical matrix can be simulated by introducing positional disorder in a crystalline counterpart.

The effect of cooling rate on aging in spin glasses

Comment: pdf file, 18 pages, to appear in Physical Review B (2006)

Width of percolation transition in complex networks

It is known that the critical probability for the percolation transition is not a sharp threshold, actually it is a region of non-zero width $\Delta p_c$ for systems of finite size. Here we present evidence that for complex networks $\Delta p_c \sim \frac{p_c}{l}$, where $l \sim N^{\nu_{opt}}$ is the average length of the percolation cluster, and $N$ is the number of nodes in the network. For Erd\H{o}s-R\'enyi (ER) graphs $\nu_{opt} = 1/3$, while for scale-free (SF) networks with a degree distribution $P(k) \sim k^{-\lambda}$ and $3<\lambda<4$, $\nu_{opt} = (\lambda-3)/(\lambda-1)$. We show analytically and numerically that the \textit{survivability} $S(p,l)$, which is the probability of a cluster to survive $l$ chemical shells at probability $p$, behaves near criticality as $S(p,l) = S(p_c,l) \cdot exp[(p-p_c)l/p_c]$. Thus for proba...

Critical sound attenuation in a diluted Ising system

Comment: 12 RevTeX pages, 4 figures

Perturbation theory for ac-driven interfaces in random media

Comment: 23 pages, substantial changes, replaced with the published version

Domain wall entropy of the bimodal two-dimensional Ising spin glass

Comment: 4 pages, 2 figures, submitted to PRB

Magnetic exponents of two-dimensional Ising spin glasses

Comment: 4 pages, 4 figures, title now includes "Ising"

Response of degree-correlated scale-free networks to stimuli

Comment: 5 pages, 5 figures

Fractal dimension of domain walls in two-dimensional Ising spin glasses

Comment: 8 pages, 8 figures, submitted to Phys. Rev. B; v2: shortened version