Equilibrium time-correlation functions for one-dimensional hard-point systems

Abstract

As recently proposed, the long-time behavior of equilibrium time-correlation functions for one-dimensional systems are expected to be captured by a nonlinear extension of fluctuating hydrodynamics. We outline the predictions from the theory aimed at the comparison with molecular dynamics. We report on numerical simulations of a fluid with a hard-shoulder potential and of a hard-point gas with alternating masses. These models have in common that the collision time is zero and their dynamics amounts to iterating collision by collision. The theory is well confirmed, with the twist that the non-universal coefficients are still changing at longest accessible times.

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References in corpus (6)

• Heat Transport in low-dimensional systems
• Exact scaling functions for one-dimensional stationary KPZ growth
• Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Energy diffusion in hard-point systems
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