Energy diffusion in hard-point systems

Abstract

We investigate the diffusive properties of energy fluctuations in a one-dimensional diatomic chain of hard-point particles interacting through a square--well potential. The evolution of initially localized infinitesimal and finite perturbations is numerically investigated for different density values. All cases belong to the same universality class which can be also interpreted as a Levy walk of the energy with scaling exponent 3/5. The zero-pressure limit is nevertheless exceptional in that normal diffusion is found in tangent space and yet anomalous diffusion with a different rate for perturbations of finite amplitude. The different behaviour of the two classes of perturbations is traced back to the "stable chaos" type of dynamics exhibited by this model. Finally, the effect of an additional internal degree of freedom is investigated, finding that it does not modify the overall scenario

16 pages, 15 figures

References in corpus (17)

• Thermal conduction in classical low-dimensional lattices
• Anomalous heat conduction in one dimensional momentum-conserving systems
• On the anomalous thermal conductivity of one-dimensional lattices
• Heat conduction in the diatomic Toda lattice revisited
• Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas
• Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
• From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
• Relaxation of classical many-body hamiltonians in one dimension
• Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
• Dynamical heat channels
• On the universality of anomalous one-dimensional heat conductivity
• Self-Consistent Mode-Coupling Approach to 1D Heat Transport
• Studies of thermal conductivity in Fermi-Pasta-Ulam like lattices
• One dimensional heat conductivity exponent from random collision model
• Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid
• Linear And Nonlinear Mechanisms Of Information Propagation
• The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics

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• Equilibrium time-correlation functions for one-dimensional hard-point systems
• A violation of universality in anomalous Fourier's law
• Space-time velocity correlation function for random walks
• Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
• Transport in perturbed classical integrable systems: the pinned Toda chain
• The Fourier heat conduction as a strong kinetic effect
• Localization in one-dimensional chains with Lévy-type disorder
• A large deviation theory perspective on nanoscale transport phenomena
• Heat current fluctuations and anomalous transport in low dimensional carbon lattices
• Heat wave propagation in a nonlinear chain
• Heat flux in one-dimensional systems
• Anomalous transmission and drifts in one-dimensional Levy structures
• Heat conduction and energy diffusion in momentum-conserving 1D full lattice ding-a-ling model
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