Showing 2013 · cond-mat.stat-mechShow all

20 papers · 2 filters

cond-mat.stat-mech2013★ 12 cited

Highly Dispersed Networks Generated by Enhanced Redirection

Alan Gabel, P. L. Krapivsky, S. Redner

We analyze growing networks that are built by enhanced redirection. Nodes are sequentially added and each incoming node attaches to a randomly chosen 'target' node with probability…

cond-mat.stat-mech2013★ 15 cited

Choice-Driven Phase Transition in Complex Networks

P. L. Krapivsky, S. Redner

We investigate choice-driven network growth. In this model, nodes are added one by one according to the following procedure: for each addition event a set of target nodes is select…

cond-mat.stat-mech2013★ 56 cited

Survival of classical and quantum particles in the presence of traps

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

We present a detailed comparison of the motion of a classical and of a quantum particle in the presence of trapping sites, within the framework of continuous-time classical and qua…

cond-mat.stat-mech2013★ 16 cited

Geometric Allocation Approaches in Markov Chain Monte Carlo

Synge Todo, Hidemaro Suwa

The Markov chain Monte Carlo method is a versatile tool in statistical physics to evaluate multi-dimensional integrals numerically. For the method to work effectively, we must cons…

cond-mat.stat-mech2013★ 75 cited

Dynamic scaling at classical phase transitions approached through non-equilibrium quenching

Cheng-Wei Liu, Anatoli Polkovnikov, Anders W. Sandvik

We use Monte Carlo simulations to demonstrate generic scaling aspects of classical phase transitions approached through a quench (or annealing) protocol where the temperature chang…

cond-mat.stat-mech2013★ 14 cited

Emergent Newtonian dynamics and the geometric origin of mass

Luca D'Alessio, Anatoli Polkovnikov

We consider a set of macroscopic (classical) degrees of freedom coupled to an arbitrary many-particle Hamiltonian system, quantum or classical. These degrees of freedom can represe…

cond-mat.stat-mech2013★ 12 cited

Liquid to solid nucleation via onion structure droplets

Kipton Barros, W. Klein

We study homogeneous nucleation from a deeply quenched metastable liquid to a spatially modulated phase. We find, for a general class of density functional theories, that the unive…

cond-mat.stat-mech2013★ 4 cited

Crystal Growth Inside an Octant

Jason Olejarz, P. L. Krapivsky

We study crystal growth inside an infinite octant on a cubic lattice. The growth proceeds through the deposition of elementary cubes into inner corners. After re-scaling by the cha…

cond-mat.stat-mech2013★ 10 cited

Highly Dispersed Networks

Alan Gabel, P. L. Krapivsky, S. Redner

We introduce a new class of networks that grow by enhanced redirection. Nodes are introduced sequentially, and each either attaches to a randomly chosen target node with probabilit…

cond-mat.stat-mech2013★ 6 cited

Asymmetric Exclusion Process with Global Hopping

Chikashi Arita, Jérémie Bouttier, P. L. Krapivsky +1

We study a one-dimensional totally asymmetric simple exclusion process with one special site from which particles fly to any empty site (not just to the neighboring site). The syst…

cond-mat.stat-mech2013★ 159 cited

Classifying and measuring the geometry of the quantum ground state manifold

Michael Kolodrubetz, Vladimir Gritsev, Anatoli Polkovnikov

From the Aharonov-Bohm effect to general relativity, geometry plays a central role in modern physics. In quantum mechanics many physical processes depend on the Berry curvature. Ho…

cond-mat.stat-mech2013

First Passage in Conical Geometry and Ordering of Brownian Particles

E. Ben-Naim, P. L. Krapivsky

We survey recent results on first-passage processes in unbounded cones and their applications to ordering of particles undergoing Brownian motion in one dimension. We first discuss…

cond-mat.stat-mech2013★ 18 cited

Generalized energy and time-translation invariance in a driven, dissipative system

Thomas Iadecola, Claudio Chamon, Roman Jackiw +1

Driven condensed matter systems consistently pose substantial challenges to theoretical understanding. Progress in the study of such systems has been achieved using the Floquet for…

cond-mat.stat-mech2013★ 14 cited

Statistics of Superior Records

E. Ben-Naim, P. L. Krapivsky

We study statistics of records in a sequence of random variables. These identical and independently distributed variables are drawn from the parent distribution rho. The running re…

cond-mat.stat-mech2013★ 6 cited

Renyi entropies as a measure of the complexity of counting problems

Claudio Chamon, Eduardo R. Mucciolo

Counting problems such as determining how many bit strings satisfy a given Boolean logic formula are notoriously hard. In many cases, even getting an approximate count is difficult…

cond-mat.stat-mech2013★ 36 cited

The Second Law of Thermodynamics under Unitary Evolution and External Operations

Tatsuhiko N. Ikeda, Naoyuki Sakumichi, Anatoli Polkovnikov +1

A microscopic definition of the thermodynamic entropy in an isolated quantum system must satisfy (i) additivity, (ii) extensivity and (iii) the second law of thermodynamics. We sho…

cond-mat.stat-mech2013★ 7 cited

Limiting Shapes in Two-Dimensional Ising Ferromagnets

P. L. Krapivsky, Jason Olejarz

We consider an Ising model on a square grid with ferromagnetic spin-spin interactions spanning beyond nearest neighbors. Starting from initial states with a single unbounded interf…

cond-mat.stat-mech2013★ 24 cited

Dynamics of Repulsion Processes

P. L. Krapivsky

We study dynamical behaviors of one-dimensional stochastic lattice gases with repulsive interactions whose span can be arbitrary large. We endow the system with a zero-temperature…

cond-mat.stat-mech2013★ 80 cited

Finite-size scaling method for the Berezinskii-Kosterlitz-Thouless transition

Yun-Da Hsieh, Ying-Jer Kao, A. W. Sandvik

We test an improved finite-size scaling method for reliably extracting the critical temperature of a Berezinskii-Kosterlitz-Thouless (BKT) transition. Using known sin…

cond-mat.stat-mech2013★ 29 cited

Microscopic theory of non-adiabatic response in real and imaginary time

C. De Grandi, A. Polkovnikov, A. W. Sandvik

We present a general approach to describe slowly driven quantum systems both in real and imaginary time. We highlight many similarities, qualitative and quantitative, between real…