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Showing 2010 · cond-mat.stat-mechShow all

21 papers · 2 filters

cond-mat.stat-mech2010★ 79 cited

How many eigenvalues of a Gaussian random matrix are positive?

Satya N. Majumdar, Céline Nadal, Antonello Scardicchio +1

We study the probability distribution of the index , i.e., the number of positive eigenvalues of an Gaussian random matrix. We show analytically that, f…

cond-mat.stat-mech2010★ 83 cited

Quench dynamics of the 2d XY model

Asja Jelic, Leticia F. Cugliandolo

We investigate the out of equilibrium dynamics of the two-dimensional XY model when cooled across the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using different protoco…

cond-mat.stat-mech2010★ 10 cited

Linearization effect in multifractal analysis: Insights from the Random Energy Model

Florian Angeletti, Marc Mézard, Eric Bertin +1

The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the stati…

cond-mat.stat-mech2010★ 13 cited

Critical interfaces and duality in the Ashkin Teller model

Marco Picco, Raoul Santachiara

We report on the numerical measures on different spin interfaces and FK cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find tha…

cond-mat.stat-mech2010

Statistical Curse of the Second Half Rank

Jean Desbois, Stephane Ouvry, Alexios Polychronakos

In competitions involving many participants running many races the final rank is determined by the score of each participant, obtained by adding its ranks in each individual race.…

cond-mat.stat-mech2010★ 50 cited

Perturbation Theory for Fractional Brownian Motion in Presence of Absorbing Boundaries

Kay Jörg Wiese, Satya N. Majumdar, Alberto Rosso

Fractional Brownian motion is a Gaussian process x(t) with zero mean and two-time correlations <x(t)x(s)> ~ t^{2H} + s^{2H} - |t-s|^{2H}, where H, with 0<H<1 is called the Hurst ex…

cond-mat.stat-mech2010★ 40 cited

Protecting clean critical points by local disorder correlations

J. A. Hoyos, Nicolas Laflorencie, A. P. Vieira +1

We show that a broad class of quantum critical points can be stable against locally correlated disorder even if they are unstable against uncorrelated disorder. Although this resul…

cond-mat.stat-mech2010★ 57 cited

Note on a q-modified central limit theorem

H. J. Hilhorst

A q-modified version of the central limit theorem due to Umarov et al. affirms that q-Gaussians are attractors under addition and rescaling of certain classes of strongly correlate…

cond-mat.stat-mech2010★ 18 cited

Ballistic deposition patterns beneath a growing KPZ interface

Konstantin Khanin, Sergei Nechaev, Gleb Oshanin +2

We consider a (1+1)-dimensional ballistic deposition process with next-nearest neighbor interaction, which belongs to the KPZ universality class, and introduce for this discrete mo…

cond-mat.stat-mech2010★ 4 cited

Maximum Distance Between the Leader and the Laggard for Three Brownian Walkers

Satya N. Majumdar, Alan J. Bray

We consider three independent Brownian walkers moving on a line. The process terminates when the left-most walker (the `Leader') meets either of the other two walkers. For arbitrar…

cond-mat.stat-mech2010★ 6 cited

Novel Properties of Frustrated Low Dimensional Magnets with Pentagonal Symmetry

A. Jagannathan, B. Motz, E. Vedmedenko

In the context of magnetism, frustration arises when a group of spins cannot find a configuration that minimizes all of their pairwise interactions simultaneously. We consider the…

cond-mat.stat-mech2010★ 26 cited

Screening of charged spheroidal colloidal particles

Carlos Alvarez, Gabriel Tellez

We study the effective screened electrostatic potential created by a spheroidal colloidal particle immersed in an electrolyte, within the mean field approximation, using Poisson--B…

cond-mat.stat-mech2010★ 244 cited

Coherent dynamics of macroscopic electronic order through a symmetry-breaking transition

R. Yusupov, T. Mertelj, V. V. Kabanov +5

The temporal evolution of systems undergoing symmetry breaking phase transitions (SBTs) is of great fundamental interest not only in condensed matter physics, but extends from cosm…

cond-mat.stat-mech2010★ 31 cited

Shock-dynamics of two-lane driven lattice gases

Christoph Schiffmann, Cecile Appert-Rolland, Ludger Santen

Driven lattice gases as the ASEP are useful tools for the modeling of various stochastic transport processes carried out by self-driven particles, such as molecular motors or vehic…

cond-mat.stat-mech2010★ 11 cited

Critical interfaces of the Ashkin-Teller model at the parafermionic point

Marco Picco, Raoul Santachiara

We present an extensive study of interfaces defined in the Z_4 spin lattice representation of the Ashkin-Teller (AT) model. In particular, we numerically compute the fractal dimens…

cond-mat.stat-mech2010★ 31 cited

Maximum of N Independent Brownian Walkers till the First Exit From the Half Space

P. L. Krapivsky, Satya N. Majumdar, Alberto Rosso

We consider the one-dimensional target search process that involves an immobile target located at the origin and searchers performing independent Brownian motions starting at t…

cond-mat.stat-mech2010★ 59 cited

Extremal statistics of curved growing interfaces in 1+1 dimensions

Joachim Rambeau, Gregory Schehr

We study the joint probability distribution function (pdf) of the maximum M of the height and its position X_M of a curved growing interface belonging to the universality class des…

cond-mat.stat-mech2010★ 2 cited

The Metropolis Monte Carlo Finite Element Algorithm for Electrostatic Interactions

Martial Mazars

The Metropolis Monte Carlo algorithm with the Finite Element method applied to compute electrostatic interaction energy between charge densities is described in this work. By using…

cond-mat.stat-mech2010★ 7 cited

Casimir Physics: Geometry, Shape and Material

Thorsten Emig

The properties of fluctuation induced interactions like van der Waals and Casimir-Lifshitz forces are of interest in a plethora of fields ranging from biophysics to nanotechnology.…

cond-mat.stat-mech2010★ 49 cited

Quantum and thermal Casimir interaction between a sphere and a plate: Comparison of Drude and plasma models

Roya Zandi, Thorsten Emig, Umar Mohideen

We calculate the Casimir interaction between a sphere and a plate, both described by the plasma model, the Drude model, or generalizations of the two models. We compare the results…

cond-mat.stat-mech2010★ 64 cited

Time to reach the maximum for a random acceleration process

Satya N. Majumdar, Alberto Rosso, Andrea Zoia

We study the random acceleration model, which is perhaps one of the simplest, yet nontrivial, non-Markov stochastic processes, and is key to many applications. For this non-Markov…