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Stanford team finds order in a process previously assumed to be random
Stanford team process previously assumed random
2016/11/4
Scientific discoveries often arise from noticing the unexpected. Such was the case when Stanford researchers, studying a tiny device that has become increasingly important in disease diagnostics and d...
We show that all the time-dependent statistical properties of the rightmost points of a branching Brownian motion can be extracted from the traveling wave solutions of the Fisher-KPP equation. We show...
Critical behavior of ferromagnetic pure and random diluted nanoparticles with competing interactions: variational and Monte Carlo approaches
Critical behavior of ferromagnetic pure random diluted nanoparticles interactions: variational
2010/11/23
The magnetic properties and critical behavior of both ferromagnetic pure and metallic nanopar-
ticles having concurrently atomic disorder, dilution and competing interactions, are studied in the fram...
Density of states in random lattices with translational invariance
Density of states random lattices with translational invariance
2010/11/22
We propose a random matrix approach to describe vibrational excitations in disordered systems.
The dynamical matrix M is taken in the form M = AAT where A is some real (not generally
symmetric) rand...
Interaction anisotropy and random impurities effects on the critical behaviour of ferromagnets
Interaction anisotropy random impurities effects critical behaviour of ferromagnets
2010/11/23
The theory of phase transitions is based on the consideration of "idealized" models, such as the Ising model: a system of magnetic moments living on a cubic lattice and having only two accessible stat...
The Random Discrete Action for 2-Dimensional Spacetime
Random Discrete Action 2-Dimensional Spacetime
2010/12/20
A one-parameter family of random variables, called the Discrete Action, is de ned for a 2-dimensional Lorentzian spacetime of nite volume. The sin-gle parameter is a discreteness scale.
Multi-Gaussian modes of diffusion in a quenched random medium
Multi-Gaussian modes of diffusion quenched random medium
2010/11/19
We have studied a model of a random walk in a quenched random environment. In addition to
featuring anomalous di usion and localization, for special regimes of disorder parameters the particle densit...
Scaling and self-averaging in the three-dimensional random-field Ising model
Scaling self-averaging three-dimensional random-field Ising model
2010/11/25
We investigate, by means of extensive Monte Carlo simulations, the magnetic critical behavior of the three-dimensional bimodal random-field Ising model at the strong disorder regime.We present results...
Two-point generating function of the free energy for a directed polymer in a random medium
Directed polymer Lieb-Liniger Bose gas Kardar-Parisi-Zhang equation
2010/11/24
We consider a 1+1 dimensional directed continuum polymer in a Gaussian delta-correlated space-time random potential. For this model the moments (= replica)of the partition function, Z(x, t), can be ex...
Fat-tailed and compact random-field Ising models on cubic lattices
Random-Field Ising Model Fat tails Compact distributions
2010/11/23
Using a single functional form which is able to represent several different classes of
statistical distributions, we introduce a preliminary study of the ferromagnetic Ising model
on the cubic latti...
On Complex Permittivity of Dilute Random Binary Dielectric Mixtures in Two-Dimensions
Dielectric permittivity the finite element method effective medium theory
2010/4/13
Influence of the number of particles considered in numerical simulations on the complex dielectric permittivity of binary dilute dielectric mixtures in two-dimensions are reported. In the simulations,...