Superdiffusion of energy in Hamiltonian systems perturbed by a conservative noise
C\'edric Bernardin
TL;DR
This paper reviews recent findings on how energy spreads anomalously in one-dimensional Hamiltonian oscillator systems, emphasizing the impact of momentum conservation on superdiffusive behavior.
Contribution
It provides a comprehensive review of recent results and reexamines the influence of momentum conservation in energy superdiffusion in 1D Hamiltonian systems.
Findings
Energy exhibits superdiffusive spread in 1D coupled oscillators.
Momentum conservation plays a crucial role in anomalous diffusion.
Recent results highlight the importance of conservation laws in energy transport.
Abstract
We review some recent results on the anomalous diffusion of energy in systems of 1D coupled oscillators and we revisit the role of momentum conservation.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Quantum chaos and dynamical systems · Advanced Thermodynamics and Statistical Mechanics