The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mappings. The model presents a resonant velocity that depends on the rotation number around fixed points and external boundary perturbation which plays an important separation rule in the model. We show that particles exhibiting Fermi acceleration (initial velocity is above the resonant one) are scaling invariant with respect to the initial velocity and external perturbation. However, initial velocities below the resonant one lead the particles to decelerate therefore unlimited energy growth is not observed. This phenomenon may be interpreted as a specific Maxwell's Demon which may separate fast and slow billiard particles. (C) 2012 Elsevier B.V. Al...
We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipa...
Billiard maps are one of the most common types of dynamical systems. In recent years, billiards with...
Analytical arguments are used to describe the behavior of the average velocity in the problem of an ...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
AbstractThe dynamics of a driven stadium-like billiard is considered using the formalism of discrete...
Competition between the decay and growth of energy in a time-dependent stadium billiard is discussed...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The unlimited energy growth ( Fermi acceleration) of a classical particle moving in a billiard with ...
We consider a family of stadium-like billiards with time-dependent boundaries. Two different cases o...
We study the phenomenon of unlimited energy growth for a classical particle moving in the annular bi...
Abstract. A dispersing billiard (Lorentz gas) and focusing billiards (in the form of a stadium) with...
Billiards with time dependent boundaries are a natural generalization of the one dimensional Fermi a...
We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipa...
Billiard maps are one of the most common types of dynamical systems. In recent years, billiards with...
Analytical arguments are used to describe the behavior of the average velocity in the problem of an ...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
The dynamics of a driven stadium-like billiard is considered using the formalism of discrete mapping...
AbstractThe dynamics of a driven stadium-like billiard is considered using the formalism of discrete...
Competition between the decay and growth of energy in a time-dependent stadium billiard is discussed...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The behavior of the average energy for an ensemble of non-interacting particles is studied using sca...
The unlimited energy growth ( Fermi acceleration) of a classical particle moving in a billiard with ...
We consider a family of stadium-like billiards with time-dependent boundaries. Two different cases o...
We study the phenomenon of unlimited energy growth for a classical particle moving in the annular bi...
Abstract. A dispersing billiard (Lorentz gas) and focusing billiards (in the form of a stadium) with...
Billiards with time dependent boundaries are a natural generalization of the one dimensional Fermi a...
We consider a dissipative oval-like shaped billiard with a periodically moving boundary. The dissipa...
Billiard maps are one of the most common types of dynamical systems. In recent years, billiards with...
Analytical arguments are used to describe the behavior of the average velocity in the problem of an ...