2 citations · 3 across the 11 of their papers we have counts for
12 papers
Two-Dimensional -plane Turbulence: Dual Cascade and Zonal Jets
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We derive an exact and novel expression for an averaged two-point correlation function in the statistically stationary, forced-dissipative two-dimensional Navier-Stokes equations s…
Stark localization of interacting particles
Wojciech De Roeck, Amirali Hannani, Alessio Lerose +1
We consider N interacting quantum particles on a one-dimensional lattice, and subjected to an external linear potential. For N = 1, the corresponding Hamiltonian is explicitly diag…
Many-body Localization and Poisson statistics in the Quantum Sun model
Wojciech De Roeck, Amirali Hannani
The Quantum Sun model is a many-body Hamiltonian model of interacting spins arranged on the half-line (or the line). Spins at distance from the origin are coupled to the rest o…
On the effect of the Coriolis force on the enstrophy cascade
Yuri Cacchiò, Amirali Hannani, Gigliola Staffilani
We study the direct enstrophy cascade at small spatial scales in statistically stationary forced-dissipated 2D Navier-Stokes equations subject to the Coriolis force in the -plan…
Sub-Power Law Decay of the Wave Packet Maximum in Disordered Anharmonic Chains
Wojciech De Roeck, Lydia Giacomin, Amirali Hannani +1
We show that the peak of an initially localized wave packet in one-dimensional nonlinear disordered chains decays more slowly than any power law of time. The systems under investig…
Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran +1
In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, w…
Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat
Amirali Hannani, Minh-Binh Tran, Minh Nhat Phung +1
We consider the control problem of controlling the rates of an infinite chain of coupled harmonic oscillators with a Langevin thermostat at the origin. We study the effect of two t…
Well-Posedness and regularity properties of 2d -plane stochastic Navier-Stokes equations in a periodic channel
Yuri Cacchio', Amirali Hannani, Gigliola Staffilani
We consider the 2d -plane stochastic Navier-Stokes equations in a periodic channel. We prove the well-posedness and existence of the stationary measure, as well as certain regul…
On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit
Amirali Hannani, Matthew Rosenzweig, Gigliola Staffilani +1
Starting from a stochastic Zakharov-Kuznetsov (ZK) equation on a lattice, the previous work [ST21] by the last two authors gave a derivation of the homogeneous 3-wave kinetic equat…
Derivation of Euler equations from quantum and classical microscopic dynamics
Amirali Hannani, François Huveneers
We derive Euler equations from a Hamiltonian microscopic dynamics. The microscopic system is a one-dimensional disordered harmonic chain, and the dynamics is either quantum or clas…
A stochastic thermalization of the Discrete Nonlinear Schrödinger Equation
Amirali Hannani, Stefano Olla
We introduce a mass conserving stochastic perturbation of the discrete nonlinear Schrödinger equation that models the action of a heat bath at a given temperature. We prove that th…
Hydrodynamic limit for a disordered quantum harmonic chain
Amirali Hannani
In this note, we study the hydrodynamic limit, in the hyperbolic space-time scaling, for a one-dimensional unpinned chain of quantum harmonic oscillators with random masses. To the…