Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
arXiv:1205.1879 · doi:10.1007/s00220-013-1860-5
Abstract
A one-dimensional Hamiltonian system with exponential interactions perturbed by a conservative noise is considered. It is proved that energy superdiffuses and upper and lower bounds describing this anomalous diffusion are obtained
to appear in Communications in Mathematical Physics
References in corpus (8)
- Heat Transport in low-dimensional systems
- Exact results for anomalous transport in one dimensional Hamiltonian systems
- A momentum conserving model with anomalous thermal conductivity in low dimension
- Anomalous diffusion for a class of systems with two conserved quantities
- Transport Properties of a Chain of Anharmonic Oscillators with random flip of velocities
- KPZ Scaling Theory and the Semi-discrete Directed Polymer Model
- Thermal conductivity of the Toda lattice with conservative noise
- Superdiffusivity of Asymmetric Energy Model in Dimension One and Two
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- Thermalization of isolated harmonic networks under conservative noise
- Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions
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- Diffusion of energy in chains of oscillators with bulk noise