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10 papers · 2 filters
Finite Size Fluctuations in Interacting Particle Systems
E. Ben-Naim, P. L. Krapivsky
Fluctuations may govern the fate of an interacting particle system even on the mean-field level. This is demonstrated via a three species cyclic trapping reaction with a large, yet…
Universal adiabatic dynamics across a quantum critical point
Anatoli Polkovnikov
We study temporal behavior of a quantum system under a slow external perturbation, which drives the system across a second order quantum phase transition. It is shown that despite…
Spatial Growth of Real-world Networks
Marcus Kaiser, Claus C. Hilgetag
Many real-world networks have properties of small-world networks, with clustered local neighborhoods and low average-shortest path (ASP). They may also show a scale-free degree dis…
Aging in short-ranged attractive colloids: A numerical study
G. Foffi, E. Zaccarelli, S. Buldyrev +2
We study the aging dynamics in a model for dense simple liquids, in which particles interact through a hard-core repulsion complemented by a short-ranged attractive potential, of t…
Extremal Properties of Random Structures
E. Ben-Naim, P. L. Krapivsky, S. Redner
The extremal characteristics of random structures, including trees, graphs, and networks, are discussed. A statistical physics approach is employed in which extremal properties are…
Competition between homogeneous and local processes in a diffusive many-body system
Mauro Mobilia
We consider a stochastic many-body system where a source refills uniformly the empty sites of a hypercubic lattice, on which each particle is allowed to jump (symmetrically) onto n…