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Showing 2005 · cond-mat.stat-mechShow all

36 papers · 2 filters

cond-mat.stat-mech2005★ 162 cited

Reconstruction on trees and spin glass transition

Marc Mezard, Andrea Montanari

Consider an information source generating a symbol at the root of a tree network whose links correspond to noisy communication channels, and broadcasting it through the network. We…

cond-mat.stat-mech2005★ 85 cited

The antiferromagnetic transition for the square-lattice Potts model

Jesper Lykke Jacobsen, Hubert Saleur

We solve the antiferromagnetic transition for the Q-state Potts model (defined geometrically for Q generic) on the square lattice. The solution is based on a detailed analysis of t…

cond-mat.stat-mech2005★ 7 cited

Quenched Averages for self-avoiding walks and polygons on deterministic fractals

Sumedha, Deepak Dhar

We study rooted self avoiding polygons and self avoiding walks on deterministic fractal lattices of finite ramification index. Different sites on such lattices are not equivalent,…

cond-mat.stat-mech2005★ 34 cited

Off-diagonal correlations of the Calogero-Sutherland model

G. E. Astrakharchik, D. M. Gangardt, Yu. E Lozovik +1

We study correlation functions of the Calogero-Sutherland model in the whole range of the interaction parameter. Using the replica method we obtain analytical expressions for the l…

cond-mat.stat-mech2005★ 22 cited

Energy fluctuations in vibrated and driven granular gases

P. Visco, A. Puglisi, A. Barrat +2

We investigate the behavior of energy fluctuations in several models of granular gases maintained in a non-equilibrium steady state. In the case of a gas heated from a boundary, th…

cond-mat.stat-mech2005★ 18 cited

Complex-temperature phase diagram of Potts and RSOS models

Jesper Lykke Jacobsen, Jean-Francois Richard, Jesus Salas

We study the phase diagram of Q-state Potts models, for Q=4 cos^2(PI/p) a Beraha number (p>2 integer), in the complex-temperature plane. The models are defined on L x N strips of t…

cond-mat.stat-mech2005★ 60 cited

Unified Solution of the Expected Maximum of a Random Walk and the Discrete Flux to a Spherical Trap

Satya N. Majumdar, Alain Comtet, Robert M. Ziff

Two random-walk related problems which have been studied independently in the past, the expected maximum of a random walker in one dimension and the flux to a spherical trap of par…

cond-mat.stat-mech2005★ 13 cited

Phase Transition in the Aldous-Shields Model of Growing Trees

David S. Dean, Satya N. Majumdar

We study analytically the late time statistics of the number of particles in a growing tree model introduced by Aldous and Shields. In this model, a cluster grows in continuous tim…

cond-mat.stat-mech2005★ 136 cited

Canonical Analysis of Condensation in Factorised Steady State

M. R. Evans, Satya N. Majumdar, R. K. P. Zia

We study the phenomenon of real space condensation in the steady state of a class of mass transport models where the steady state factorises. The grand canonical ensemble may be us…

cond-mat.stat-mech2005★ 30 cited

Strong clustering of non-interacting, passive sliders driven by a Kardar-Parisi-Zhang surface

Apoorva Nagar, Satya N. Majumdar, Mustansir Barma

We study the clustering of passive, non-interacting particles moving under the influence of a fluctuating field and random noise, in one dimension. The fluctuating field in our cas…

cond-mat.stat-mech2005★ 65 cited

How long does it take to pull an ideal polymer into a small hole?

A. Y. Grosberg, S. Nechaev, M. Tamm +1

We present scaling estimates for characteristic times and of pulling ideal linear and randomly branched polymers of monomers into a small hole by a f…

cond-mat.stat-mech2005★ 8 cited

Stationary state of a heated granular gas: fate of the usual H-functional

Ioana Bena, Francois Coppex, Michel Droz +3

We consider the characterization of the nonequilibrium stationary state of a randomly-driven granular gas in terms of an entropy-production based variational formulation. Enforcing…

cond-mat.stat-mech2005★ 39 cited

Fluctuations of power injection in randomly driven granular gases

P. Visco, A. Puglisi, A. Barrat +2

We investigate the large deviation function pi(w) for the fluctuations of the power W(t)=w t, integrated over a time t, injected by a homogeneous random driving into a granular gas…

cond-mat.stat-mech2005★ 71 cited

Fluctuations of internal energy flow in a vibrated granular gas

A. Puglisi, P. Visco, A. Barrat +2

The non-equilibrium fluctuations of power flux in a fluidized granular media have been recently measured in an experiment [Phys. Rev. Lett. 92, 164301, 2004], which was announced t…

cond-mat.stat-mech2005★ 31 cited

Injected power and entropy flow in a heated granular gas

P. Visco, A. Puglisi, A. Barrat +2

Our interest goes to the power injected in a heated granular gas and to the possibility to interpret it in terms of entropy flow. We numerically determine the distribution of the i…

cond-mat.stat-mech2005★ 26 cited

Spatial survival probability for one-dimensional fluctuating interfaces in the steady state

Satya N. Majumdar, Chandan Dasgupta

We report numerical and analytic results for the spatial survival probability for fluctuating one-dimensional interfaces with Edwards-Wilkinson or Kardar-Parisi-Zhang dynamics in t…

cond-mat.stat-mech2005★ 18 cited

Zipf's law in Multifragmentation

Xavier Campi, Hubert Krivine

We discuss the meaning of Zipf's law in nuclear multifragmentation. We remark that Zipf's law is a consequence of a power law fragment size distribution with exponent .…

cond-mat.stat-mech2005★ 17 cited

Asymptotic statistics of the n-sided planar Poisson-Voronoi cell. I. Exact results

Hendrik-Jan Hilhorst

We achieve a detailed understanding of the -sided planar Poisson-Voronoi cell in the limit of large . Let be the probability for a cell to have sides. We constru…

cond-mat.stat-mech2005★ 104 cited

Spin waves in a one-dimensional spinor Bose gas

J. N. Fuchs, D. M. Gangardt, T. Keilmann +1

We study a one-dimensional (iso)spin 1/2 Bose gas with repulsive delta-function interaction by the Bethe Ansatz method and discuss the excitations above the polarized ground state.…

cond-mat.stat-mech2005★ 81 cited

Precise Asymptotics for a Random Walker's Maximum

Alain Comtet, Satya N. Majumdar

We consider a discrete time random walk in one dimension. At each time step the walker jumps by a random distance, independent from step to step, drawn from an arbitrary symmetric…

cond-mat.stat-mech2005★ 5 cited

Ionic fluids: charge and density correlations near gas-liquid criticality

Oksana Patsahan, Ihor Mryglod, Jean-Michel Caillol

The correlation functions of an ionic fluid with charge and size asymmetry are studied within the framework of the random phase approximation. The results obtained for the charge-c…

cond-mat.stat-mech2005★ 46 cited

Casimir force between two ideal-conductor walls revisited

Bernard Jancovici, Ladislav Samaj

The high-temperature aspects of the Casimir force between two neutral conducting walls are studied. The mathematical model of "inert" ideal-conductor walls, considered in the origi…

cond-mat.stat-mech2005★ 109 cited

Chaotic properties of systems with Markov dynamics

Vivien Lecomte, Cecile Appert-Rolland, Frederic van Wijland

We present a general approach for computing the dynamic partition function of a continuous-time Markov process. The Ruelle topological pressure is identified with the large deviati…

cond-mat.stat-mech2005★ 32 cited

Passive Sliders on Fluctuating Surfaces: Strong-Clustering States

Apoorva Nagar, Mustansir Barma, Satya N. Majumdar

We study the clustering properties of particles sliding downwards on a fluctuating surface evolving through the Kardar-Parisi-Zhang equation, a problem equivalent to passive scalar…