Conduction at the onset of chaos

Abstract

After a general discussion of the thermodynamics of conductive processes, we introduce specific observables enabling the connection of the diffusive transport properties with the microscopic dynamics. We solve the case of Brownian particles, both analytically and numerically, and address then whether aspects of the classic Onsager's picture generalize to the non-local non-reversible dynamics described by logistic map iterates. While in the chaotic case numerical evidence of a monotonic relaxation is found, at the onset of chaos complex relaxation patterns emerge.

arXiv comment8 pages, 4 figures

References in corpus (5)

• Nonextensive Pesin identity. Exact renormalization group analytical results for the dynamics at the edge of chaos of the logistic map
• Tsallis' q index and Mori's q phase transitions at edge of chaos
• Generalized Statistical Mechanics at the Onset of Chaos
• Renormalization group structure for sums of variables generated by incipiently chaotic maps
• Emergent statistical-mechanical structure in the dynamics along the period-doubling route to chaos