Showing 2009 · cond-mat.stat-mechShow all

13 papers · 2 filters

cond-mat.stat-mech2009★ 35 cited

Adiabatic perturbation theory: from Landau-Zener problem to quenching through a quantum critical point

C. De Grandi, A. Polkovnikov

We discuss the application of the adiabatic perturbation theory to analyze the dynamics in various systems in the limit of slow parametric changes of the Hamiltonian. We first cons…

cond-mat.stat-mech2009★ 9 cited

Universal Dynamics Near Quantum Critical Points

Vladimir Gritsev, Anatoli Polkovnikov

We give an overview of the scaling of density of quasi-particles and excess energy (heat) for nearly adiabatic dynamics near quantum critical points (QCPs). In particular we discus…

cond-mat.stat-mech2009★ 43 cited

A model of ballistic aggregation and fragmentation

Nikolay V. Brilliantov, Anna S. Bodrova, Paul L. Krapivsky

A simple model of ballistic aggregation and fragmentation is proposed. The model is characterized by two energy thresholds, Eagg and Efrag, which demarcate different types of impac…

cond-mat.stat-mech2009★ 18 cited

Aggregation-Fragmentation Processes and Wave Kinetics

C. Connaughton, P. L. Krapivsky

There is a formal correspondence between the isotropic 3-wave kinetic equation and the rate equations for a non-linear fragmentation--aggregation process. We exploit this correspon…

cond-mat.stat-mech2009★ 118 cited

Survival of an evasive prey

G. Oshanin, O. Vasilyev, P. L. Krapivsky +1

We study the survival of a prey that is hunted by N predators. The predators perform independent random walks on a square lattice with V sites and start a direct chase whenever the…

cond-mat.stat-mech2009★ 224 cited

Quench dynamics near a quantum critical point

C. De Grandi, V. Gritsev, A. Polkovnikov

We study the dynamical response of a system to a sudden change of the tuning parameter starting (or ending) at the quantum critical point. In particular we analyze the scaling…

cond-mat.stat-mech2009★ 44 cited

Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation

B. Berg, L. I. Plimak, A. Polkovnikov +3

The applicability of the so-called truncated Wigner approximation (-W) is extended to multitime averages of Heisenberg field operators. This task splits naturally in two. Firstly,…

cond-mat.stat-mech2009★ 11 cited

Stratification in the Preferential Attachment Network

E. Ben-Naim, P. L. Krapivsky

We study structural properties of trees grown by preferential attachment. In this mechanism, nodes are added sequentially and attached to existing nodes at a rate that is strictly…

cond-mat.stat-mech2009★ 9 cited

A Cellular Automaton Model of Damage

C. A. Serino, W. Klein, J. B. Rundle

We investigate the role of equilibrium methods and stress transfer range in describing the process of damage. We find that equilibrium approaches are not applicable to the descript…

cond-mat.stat-mech2009★ 84 cited

Freezing into Stripe States in Two-Dimensional Ferromagnets and Crossing Probabilities in Critical Percolation

Kipton Barros, P. L. Krapivsky, S. Redner

When a two-dimensional Ising ferromagnet is quenched from above the critical temperature to zero temperature, the system eventually converges to either a ground state (all spins al…

cond-mat.stat-mech2009★ 595 cited

Phase space representation of quantum dynamics

Anatoli Polkovnikov

We discuss a phase space representation of quantum dynamics of systems with many degrees of freedom. This representation is based on a perturbative expansion in quantum fluctuation…

cond-mat.stat-mech2009★ 24 cited

Strong Mobility in Weakly Disordered Systems

E. Ben-Naim, P. L. Krapivsky

We study transport of interacting particles in weakly disordered media. Our one-dimensional system includes (i) disorder: the hopping rate governing the movement of a particle betw…

cond-mat.stat-mech2009★ 61 cited

Asymptotic behavior of the Kleinberg model

Shai Carmi, Stephen Carter, Jie Sun +1

We study Kleinberg navigation (the search of a target in a d-dimensional lattice, where each site is connected to one other random site at distance r, with probability proportional…