Microscopic chaos from Brownian motion?

Abstract

A recent experiment on Brownian motion has been interpreted to exhibit direct evidence for microscopic chaos. In this note we demonstrate that virtually identical results can be obtained numerically using a manifestly microscopically nonchaotic system.

3 pages, 1 figure, Comment on P. Gaspard et al, Nature vol 394, 865 (1998); rewritten in a more popular style

Cited by in corpus (29)

• Predictability: a way to characterize Complexity
• Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas
• Chaos or Noise - Difficulties of a Distinction
• Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
• Finite thermal conductivity in 1D models having zero Lyapunov exponents
• Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
• Macroscopic Diffusive Transport in a Microscopically Integrable Hamiltonian System
• Brownian motion and diffusion: from stochastic processes to chaos and beyond
• The Gallavotti-Cohen Fluctuation Theorem for a non-chaotic model
• Universal Long-time Behavior of Nuclear Spin Decays in a Solid
• The origin of diffusion: the case of non chaotic systems
• Localized behavior in the Lyapunov vectors for quasi-one-dimensional many-hard-disk systems
• Harvesting entropy and quantifying the transition from noise to chaos in a photon-counting feedback loop
• The nonequilibrium Ehrenfest gas: a chaotic model with flat obstacles?
• Sensitivity to small perturbations in systems of large quantum spins
• Signatures of Chaos in Time Series Generated by Many-Spin Systems at High Temperatures
• On thermostats and entropy production
• Probing Hamiltonian dynamics by means of the 0-1 test for chaos
• Microscopic chaos from Brownian motion in a one-dimensional anharmonic oscillator chain
• Phase relationship between the long-time beats of free induction decays and spin echoes in solids
• Thermodynamic formalism for the Lorentz gas with open boundaries in $d$ dimensions
• Generalized dynamical entropies in weakly chaotic systems
• Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems
• Deterministic Diffusion in Periodic Billiard Models
• Macroscopic evidence of microscopic dynamics in the Fermi-Pasta-Ulam oscillator chain from nonlinear time series analysis
• A finite-time exponent for random Ehrenfest gas
• Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas
• Role of chaos for the validity of statistical mechanics laws: diffusion and conduction
• Higher order statistics in the annulus square billiard: transport and polyspectra