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19942026
most citedPhonons and related properties of extended systems from density-functional perturbation theory

10.1k citations

Showing 1999 · cond-mat.stat-mechShow all

31 papers · 2 filters

cond-mat.stat-mech1999★ 9 cited

BEC in Nonextensive Statistical Mechanics

Luca Salasnich

We discuss the Bose-Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the standar…

cond-mat.stat-mech1999★ 22 cited

Anomalous Spreading of Power-Law Quantum Wave Packets

Fabrizio Lillo, Rosario N. Mantegna

We introduce power-law tail quantum wave packets. We show that they can be seen as eigenfunctions of a Hamiltonian with a physical potential. We prove that the free evolution of th…

cond-mat.stat-mech1999

Viscous Flow and Jump Dynamics in Molecular Supercooled Liquids: II Rotations

Cristiano De Michele, Dino Leporini

The rotational dynamics of a supercooled molecular liquid is investigated by a molecular-dynamics numerical study. We detect rotational jumps with a waiting-time distribution which…

cond-mat.stat-mech1999★ 254 cited

Geometric approach to Hamiltonian dynamics and statistical mechanics

Lapo Casetti, Marco Pettini, E. G. D. Cohen

This paper is a review of results which have been recently obtained by applying mathematical concepts drawn, in particular, from differential geometry and topology, to the physics…

cond-mat.stat-mech1999★ 28 cited

Lattice model for cold and warm swelling of polymers in water

Pierpaolo Bruscolini, Lapo Casetti

We define a lattice model for the interaction of a polymer with water. We solve the model in a suitable approximation. In the case of a non-polar homopolymer, for reasonable values…

cond-mat.stat-mech1999★ 43 cited

Dynamics of the Number of Trades of Financial Securities

Giovanni Bonanno, Fabrizio Lillo, Rosario N. Mantegna

We perform a parallel analysis of the spectral density of (i) the logarithm of price and (ii) the daily number of trades of a set of stocks traded in the New York Stock Exchange. T…

cond-mat.stat-mech1999★ 8 cited

Semiclassical approach to the thermodynamics of spin chains

Alessandro Cuccoli, Valerio Tognetti, Paola Verrucchi +1

Using the PQSCHA semiclassical method, we evaluate thermodynamic quantities of one-dimensional Heisenberg ferro- and antiferromagnets. Since the PQSCHA reduces their evaluation to…

cond-mat.stat-mech1999★ 56 cited

Topology and phase transitions: a paradigmatic evidence

Roberto Franzosi, Marco Pettini, Lionel Spinelli

We report upon the numerical computation of the Euler characteristic χ(a topologic invariant) of the equipotential hypersurfaces Σ_v of the configuration space of the two-dimension…

cond-mat.stat-mech1999★ 35 cited

Aging in a simple glassformer

Walter Kob, Jean-Louis Barrat, Francesco Sciortino +1

Using molecular dynamics computer simulations we investigate the out-of-equilibrium dynamics of a Lennard-Jones system after a quench from a high temperature to one below the glass…

cond-mat.stat-mech1999★ 93 cited

Driven Tunneling Dynamics: Bloch-Redfield Theory versus Path Integral Approach

Ludwig Hartmann, Igor Goychuk, Milena Grifoni +1

In the regime of weak bath coupling and low temperature we demonstrate numerically for the spin-boson dynamics the equivalence between two widely used but seemingly different roads…

cond-mat.stat-mech1999★ 8 cited

Cluster variation - Pade` approximants method for the simple cubic Ising model

Alessandro Pelizzola

The cluster variation - Pade` approximant method is a recently proposed tool, based on the extrapolation of low/high temperature results obtained with the cluster variation method,…

cond-mat.stat-mech1999

Statistical Properties of Statistical Ensembles of Stock Returns

Fabrizio Lillo, Rosario N. Mantegna

We select n stocks traded in the New York Stock Exchange and we form a statistical ensemble of daily stock returns for each of the k trading days of our database from the stock pri…

cond-mat.stat-mech1999★ 194 cited

Modeling Market Mechanism with Minority Game

Damien Challet, Matteo Marsili, Yi-Cheng Zhang

Using the Minority Game model we study a broad spectrum of problems of market mechanism. We study the role of different types of agents: producers, speculators as well as noise tra…

cond-mat.stat-mech1999★ 32 cited

Self-Trapping, Quantum Tunneling and Decay Rates for a Bose Gas with Attractive Nonlocal Interaction

Luca Salasnich

We study the Bose-Einstein condensation for a cloud of Li atoms with attractive nonlocal (finite-range) interaction in a harmonic trap. In addition to the low-density metastabl…

cond-mat.stat-mech1999★ 9 cited

Cluster variation method and disorder varieties of two-dimensional Ising-like models

Alessandro Pelizzola

I show that the cluster variation method, long used as a powerful hierarchy of approximations for discrete (Ising-like) two-dimensional lattice models, yields exact results on the…

cond-mat.stat-mech1999★ 6 cited

Dynamics and statistics of simple models with infinite-range attractive interaction

Mickael Antoni, Stefano Ruffo, Alessandro Torcini

In this paper we review a series of results obtained for 1D and 2D simple N-body dynamical models with infinite-range attractive interactions and without short distance singulariti…

cond-mat.stat-mech1999★ 42 cited

Time-Dependent Variational Approach to Bose-Einstein Condensation

Luca Salasnich

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pi…

cond-mat.stat-mech1999★ 36 cited

Bose Condensate in a Double-Well Trap: Ground State and Elementary Excitations

L. Salasnich, A. Parola, L. Reatto

We study the Bose-Einstein condensate in the MIT double-well trap. We calculate the ground state density profile of Na atoms and the Bogoliubov spectrum of the elementary ex…

cond-mat.stat-mech1999★ 101 cited

Exact solution of a modified El Farol's bar problem: Efficiency and the role of market impact

Matteo Marsili, Damien Challet, Riccardo Zecchina

We discuss a model of heterogeneous, inductive rational agents inspired by the El Farol Bar problem and the Minority Game. As in markets, agents interact through a collective aggre…

cond-mat.stat-mech1999★ 5 cited

Towards the Thermodynamics of Localization Processes

Paolo Grigolini, Marco G. Pala, Luigi Palatella +1

We study the entropy time evolution of a quantum mechanical model, which is frequently used as a prototype for Anderson's localization. Recently Latora and Baranger [V. Latora, M.…

cond-mat.stat-mech1999★ 456 cited

Inherent Structure Entropy of Supercooled Liquids

F. Sciortino, W. Kob, P. Tartaglia

We present a quantitative description of the thermodynamics in a supercooled binary Lennard Jones liquid via the evaluation of the degeneracy of the inherent structures, i.e. of th…

cond-mat.stat-mech1999★ 6 cited

Driving-Induced Symmetry Breaking in the Spin-Boson System

Holger Adam, Manfred Winterstetter, Milena Grifoni +1

A symmetric dissipative two-state system is asymptotically completely delocalized independent of the initial state. We show that driving-induced localization at long times can take…

cond-mat.stat-mech1999★ 42 cited

The inverse Mermin-Wagner theorem for classical spin models on graphs

R. Burioni, D. Cassi, A. Vezzani

In this letter we present the inversion of the Mermin-Wagner theorem on graphs, by proving the existence of spontaneous magnetization at finite temperature for classical spin model…

cond-mat.stat-mech1999★ 11 cited

The Potts Fully Frustrated model: Thermodynamics, percolation and dynamics in 2 dimensions

Giancarlo Franzese

We consider a Potts model diluted by fully frustrated Ising spins. The model corresponds to a fully frustrated Potts model with variables having an integer absolute value and a sig…