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- F Valentini, F Califano, P Veltri
- Physical review letters
- 2010

We present the first 2D hybrid-Vlasov simulations of turbulence in the solar wind that describe the evolution of the energy spectra in a range of two decades of wavelengths around the ion inertial scale. Several previous magnetohydrodynamics and particle-in-cell simulations in the range of large (fluid) wavelengths showed a marked anisotropy of the energy… (More)

- D Grasso, F Califano, F Pegoraro, F Porcelli
- Physical review letters
- 2001

The nonlinear evolution of a Hamiltonian magnetic field line reconnection in a two-dimensional fluid plasma leads to a macroscopic equilibrium with a finite-size island and fine-scale spatial structures. The latter arise from the phase mixing of the Lagrangian invariant fields. This equilibrium is the analog of the Bernstein-Greene-Kruskal equilibrium… (More)

- D Del Sarto, F Califano, F Pegoraro
- Physical review letters
- 2003

It is shown that the pattern of current layers formed within a magnetic island in the nonlinear phase of magnetic field line reconnection in a collisionless two-dimensional fluid plasma is subject to the onset of a secondary instability, the effect of which increases with decreasing electron temperature. In the cold electron limit the saturation of the… (More)

- F Valentini, P Veltri, F Califano, A Mangeney
- Physical review letters
- 2008

The understanding of the small-scale termination of the turbulent energy cascade in collisionless plasmas is nowadays one of the outstanding problems in space physics. In the absence of collisional viscosity, the dynamics at small scales is presumably kinetic in nature; the identification of the physical mechanism which replaces energy dissipation and… (More)

- F. Valentini, Pavel M. Trávnícek, Francesco Califano, Petr Hellinger, André Mangeney
- J. Comput. Physics
- 2007

We present a numerical scheme for the integration of the Vlasov–Maxwell system of equations for a non-relativistic plasma, in the hybrid approximation, where the Vlasov equation is solved for the ion distribution function and the electrons are treated as a fluid. In the Ohm equation for the electric field, effects of electron inertia have been retained, in… (More)

- F Califano, N Attico, F Pegoraro, G Bertin, S V Bulanov
- Physical review letters
- 2001

With the help of 2D-3V (two dimensional in space and three dimensional in velocity) Vlasov simulations we show that the magnetic field generated by the electromagnetic current filamentation instability develops magnetic islands due to the onset of a fast reconnection process that occurs on the electron dynamical time scale. This process is relevant to… (More)

- Andrea Antoniazzi, Francesco Califano, Duccio Fanelli, Stefano Ruffo
- Physical review letters
- 2007

We here discuss the emergence of quasistationary states (QSS), a universal feature of systems with long-range interactions. With reference to the Hamiltonian mean-field model, numerical simulations are performed based on both the original N-body setting and the continuum Vlasov model which is supposed to hold in the thermodynamic limit. A detailed… (More)

- S Servidio, F Valentini, F Califano, P Veltri
- Physical review letters
- 2012

Using direct numerical simulations of a hybrid Vlasov-Maxwell model, kinetic processes are investigated in a two-dimensional turbulent plasma. In the turbulent regime, kinetic effects manifest through a deformation of the ion distribution function. These patterns of non-Maxwellian features are concentrated in space nearby regions of strong magnetic… (More)

With the aim to understand the origin of the pressure-balanced magnetic structures in the form of holes and humps commonly observed in the solar wind and planetary magnetosheaths, high-resolution hybrid numerical simulations of the Vlasov-Maxwell (VM) equations using both Lagrangian (particle in cells) and Eulerian integration schemes are presented and… (More)

- Francesco Valentini, Francesco Califano, Denise Perrone, Francesco Pegoraro, Pierluigi Veltri
- Physical review letters
- 2011

We present the results of kinetic numerical simulations that demonstrate the existence of a novel branch of electrostatic nonlinear waves driven by particle trapping processes. These waves have an acoustic-type dispersion with phase speed comparable to the ion thermal speed and would thus be heavily Landau damped in the linear regime. At variance with the… (More)