This work deals with a noncollisional kinetic model for non-neutral plasmas in a Penning trap. Using the spatial coordinates r, theta, z and the axial velocity v(z) as phase-space variables, a kinetic model is developed starting from the kinetic equation for the distribution function f(r,theta,z,v(z),t). In order to reduce the complexity of the model, the kinetic equations are integrated along ...

The avalanche behavior of gravitationally forced granular layers on a rough inclined plane is investigated experimentally for different materials and for a variety of grain shapes ranging from spherical beads to highly anisotropic particles with dendritic shape. We measure the front velocity, area, and height of many avalanches and correlate the motion with the area and height. We also measure ...

We study a large class of one-dimensional reaction diffusion models with quenched disorder using a real space renormalization group method (RSRG) which yields exact results at large time. Particles (e.g., of several species) undergo diffusion with random local bias (Sinai model) and may react upon meeting. We obtain a detailed description of the asymptotic states (i.e., attractive fixed points ...

We calculate the scalar self-force experienced by a point-charge orbiting Kerr black hole along $r\ensuremath{\theta}$-resonant geodesics. use to averaged rate of change charge's orbital energy $⟨\stackrel{\ifmmode \dot{}\else \textperiodcentered \fi{}}{E}⟩$, angular momentum $⟨{\stackrel{\ifmmode \fi{}}{L}}_{z}⟩$, and Carter constant \fi{}}{Q}⟩$, which together capture leading-order adiabatic,...

In this work, we characterize all the point processes $$\theta =\sum _{i\in {\mathbb {N}}} \delta _{x_i}$$ on $${\mathbb {R}}$$ which are left invariant under branching Brownian motions with critical drift $$-\sqrt{2}$$ . Our characterization holds only assumption that $$ is locally finite and ({\mathbb {R}}_+)<\infty almost surely.

The largest class of hyperstructures is the Hv-structures, introduced in 1990, which proved to have a lot of applications in mathematics and several applied sciences, as well. Hyperstructures are used in the Lie-Santilli theory focusing to the hypernumbers, called e-numbers. We present the appropriate e-hyperstuctures which are defined using any map, in the sense the derivative map, called thet...