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19912026
most citedThe electronic properties of graphene

24.8k citations

Showing 2011 · cond-mat.stat-mechShow all

19 papers · 2 filters

cond-mat.stat-mech2011★ 14 cited

Compact Waves in Microscopic Nonlinear Diffusion

P. I. Hurtado, P. L. Krapivsky

We analyze the spread of a localized peak of energy into vacuum for nonlinear diffusive processes. In contrast with standard diffusion, the nonlinearity results in a compact wave w…

cond-mat.stat-mech2011★ 7 cited

Popularity-Driven Networking

E. Ben-Naim, P. L. Krapivsky

We investigate the growth of connectivity in a network. In our model, starting with a set of disjoint nodes, links are added sequentially. Each link connects two nodes, and the con…

cond-mat.stat-mech2011★ 11 cited

Dynamics of Random Graphs with Bounded Degrees

E. Ben-Naim, P. L. Krapivsky

We investigate the dynamic formation of regular random graphs. In our model, we pick a pair of nodes at random and connect them with a link if both of their degrees are smaller tha…

cond-mat.stat-mech2011★ 14 cited

Limiting Shapes of Ising Droplets, Ising Fingers, and Ising Solitons

P. L. Krapivsky

We examine the evolution of an Ising ferromagnet endowed with zero-temperature single spin-flip dynamics. A large droplet of one phase in the sea of the opposite phase eventually d…

cond-mat.stat-mech2011★ 12 cited

Reaction-Diffusion Process Driven by a Localized Source: First Passage Properties

P. L. Krapivsky

We study a reaction-diffusion process that involves two species of atoms, immobile and diffusing. We assume that initially only immobile atoms, uniformly distributed throughout the…

cond-mat.stat-mech2011★ 142 cited

Ashkin-Teller criticality and pseudo first-order behavior in a frustrated Ising model on the square lattice

Songbo Jin, Arnab Sen, Anders W. Sandvik

We study the challenging thermal phase transition to stripe order in the frustrated square-lattice Ising model with couplings J1<0 (nearest-neighbor, ferromagnetic) and J2>0 (secon…

cond-mat.stat-mech2011★ 10 cited

Non-Gaussianity and Dynamical Trapping in Locally Activated Random Walks

O. Bénichou, N. Meunier, S. Redner +1

We propose a minimal model of \emph{locally-activated diffusion}, in which the diffusion coefficient of a one-dimensional Brownian particle is modified in a prescribed way --- eith…

cond-mat.stat-mech2011★ 98 cited

Dynamical Quantum Hall Effect in the Parameter Space

V. Gritsev, A. Polkovnikov

Geometric phases in quantum mechanics play an extraordinary role in broadening our understanding of fundamental significance of geometry in nature. One of the best known examples i…

cond-mat.stat-mech2011★ 12 cited

Growth Inside a Corner: The Limiting Interface Shape

Jason Olejarz, P. L. Krapivsky, S. Redner +1

We investigate the growth of a crystal that is built by depositing cubes onto the inside of a corner. The interface of this crystal evolves into a limiting shape in the long-time l…

cond-mat.stat-mech2011★ 40 cited

Exact Zero Modes in Closed Systems of Interacting Fermions

Garry Goldstein, Claudio Chamon

We show that for closed finite sized systems with an odd number of real fermionic modes, even in the presence of interactions, there are always at least two fermionic operators tha…

cond-mat.stat-mech2011★ 9 cited

On stochastic differential equations with random delay

P. L. Krapivsky, J. M. Luck, K. Mallick

We consider stochastic dynamical systems defined by differential equations with a uniform random time delay. The latter equations are shown to be equivalent to deterministic higher…

cond-mat.stat-mech2011

Nanoparticle Confinement in Anomalous Liquids

Elena G. Strekalova, Jiayuan Luo, H. Eugene Stanley +2

We investigate using molecular dynamics the effect of the structure of nanoconfinement for liquids with water-like anomalies and liquid-liquid phase transition (LLPT). We find that…

cond-mat.stat-mech2011★ 14 cited

Fluctuations of two-time quantities and time-reparametrization invariance in spin-glasses

Claudio Chamon, Federico Corberi, Leticia F. Cugliandolo

This article is a contribution to the understanding of fluctuations in the out of equilibrium dynamics of glassy systems. By extending theoretical ideas based on the assumption tha…

cond-mat.stat-mech2011★ 160 cited

Entropy of isolated quantum systems after a quench

Lea F. Santos, Anatoli Polkovnikov, Marcos Rigol

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition o…

cond-mat.stat-mech2011★ 10 cited

Kinetics of Ring Formation

E. Ben-Naim, P. L. Krapivsky

We study reversible polymerization of rings. In this stochastic process, two monomers bond and as a consequence, two disjoint rings may merge into a compound ring, or, a single rin…

cond-mat.stat-mech2011★ 60 cited

Universal energy fluctuations in thermally isolated driven systems

Guy Bunin, Luca D'Alessio, Yariv Kafri +1

When an isolated system is brought in contact with a heat bath its final energy is random and follows the Gibbs distribution -- a cornerstone of statistical physics. The system's e…

cond-mat.stat-mech2011

The Random Quadratic Assignment Problem

Gerald Paul, Jia Shao, H. Eugene Stanley

Optimal assignment of classes to classrooms \cite{dickey}, design of DNA microarrays \cite{carvalho}, cross species gene analysis \cite{kolar}, creation of hospital layouts cite{el…

cond-mat.stat-mech2011★ 38 cited

Zero-Temperature Relaxation of Three-Dimensional Ising Ferromagnets

J. Olejarz, P. L. Krapivsky, S. Redner

We investigate the properties of the Ising-Glauber model on a periodic cubic lattice of linear dimension L after a quench to zero temperature. The resulting evolution is extremely…

cond-mat.stat-mech2011★ 16 cited

Dynamic Singularities in Cooperative Exclusion

Alan Gabel, S. Redner

We investigate cooperative exclusion, in which the particle velocity can be an increasing function of the density. Within a hydrodynamic theory, an initial density upsteps and down…