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Culturomics meets random fractal theory: Insights into long-range correlations of social and natural phenomena over the past two centuries
Culturomics meets random fractal theory Insights long-range correlations social natural phenomena two centuries
2012/2/27
Culturomics was recently introduced as the application of high-throughput data collection and analysis to the study of human culture. Here we make use of this data by investigating fluctuations in yea...
Autonomous models solvable through the full interval method
reaction-diffusion full interval method solvable
2012/2/27
The most general exclusion single species one dimensional reaction-diffusion models with nearest-neighbor interactions which are both autonomous and can be solved exactly through full interval method ...
The Kibble-Zurek Problem: Universality and the Scaling Limit
Kibble-Zurek nonequilibrium quench adiabatic
2012/2/27
Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determi...
Distributional fixed point equations for island nucleation in one dimension: a retrospective approach for capture zone scaling
Gap size distribution capture zone distribution
2012/2/27
The distribution of the capture zones of point islands nucleated in one dimension are considered using a retrospective view, providing an alternative perspective on why scaling occurs in this continuo...
Realistic time-scale fully atomistic simulations of surface nucleation of dislocations in pristine nanopillars
Dislocations Molecular Dynamics Atomistic simulation Nucleation Activation Energy
2012/2/27
We use our recently proposed accelerated dynamics algorithm (Tiwary and van de Walle, 2011) to calculate temperature and stress dependence of activation free energy for surface nucleation of dislocati...
Ion Binding Sites and their Representations by Quasichemical Reduced Models
Ion Binding Sites Representations Quasichemical Reduced Models
2012/2/27
The binding of small metal ions to complex macromolecular structures is typically dominated by strong local interactions of the ion with its nearest ligands. For this reason, it is often possible to u...
Lossy Source Coding via Spatially Coupled LDGM Ensembles
Lossy Source Coding Spatially Coupled LDGM Ensembles
2012/2/27
We study a new encoding scheme for lossy source compression based on spatially coupled low-density generator-matrix codes. We develop a belief-propagation guided-decimation algorithm, and show that th...
Dynamic Critical Behavior in Models of Ferromagnetic Gadolinium
Dynamic Critical Behavior Models Ferromagnetic Gadolinium
2012/2/27
A numerical technique combining Monte Carlo and molecular dynamics simulations is used for the first time to examine the complex critical dynamics of models of ferromagnetic gadolinium in which both s...
Exact calculations of first-passage quantities on recursive networks
Exact calculations first-passage quantities recursive networks
2012/2/27
We present general methods to exactly calculate mean-first passage quantities on self-similar networks defined recursively. In particular, we calculate the mean first-passage time and the splitting pr...
Assessing a Modified-Sonine Kinetic Theory for Instabilities in Highly Dissipative, Cooling Granular Gases
Modified-Sonine Kinetic Theory Instabilities Highly Dissipative Cooling Granular Gases
2012/2/27
An intriguing phenomenon displayed by granular flows and predicted by kinetic-theory-based models is the instability known as particle "clustering," which refers to the tendency of dissipative grains ...
Critical exponents of the pair contact process with diffusion
PCPD universality class critical systems
2012/2/27
We study the pair contact process with diffusion (PCPD) using Monte Carlo simulations, and concentrate on the decay of the particle density $\rho$ with time, near its critical point, which is assumed ...
Dyson's Brownian Motion Model as a Special Case of Dunkl Processes and Dunkl's Intertwining Operators
Dyson's Brownian Motion Model Special Case Dunkl Processes Dunkl's Intertwining Operators
2012/2/27
Dyson's Brownian motion model is a one-parameter family of log-potential interacting particle systems in one dimension parametrized by an inverse temperature beta > 0. When beta = 1, 2 and 4, this mod...
Statics and Dynamics of Yukawa Cluster Crystals on Ordered Substrates
Statics Dynamics Yukawa Cluster Crystals Ordered Substrates
2012/2/27
We examine the statics and dynamics of particles with repulsive Yukawa interactions in the presence of a two-dimensional triangular substrate for fillings of up to twelve particles per potential minim...
We examine energy transport in an ensemble of closed quantum systems driven by stochastic perturbations. One can show that the probability and energy fluxes can be described in terms of quantum advect...
Limitations on the Ginzburg criterion for dirty superconductors
dirty superconductors Ginzburg criterion superconducting fluctuations specific heat
2012/2/27
The contributions of superconducting fluctuations to the specific heat of dirty superconductors are calculated, including quantum and classical corrections to the `usual' leading Gaussian divergence. ...