In-flight dissipation as a mechanism to suppress Fermi acceleration

Abstract

Some dynamical properties of time-dependent driven elliptical-shaped billiard are studied. It was shown that for the conservative time-dependent dynamics the model exhibits the Fermi acceleration [Phys. Rev. Lett. 100, 014103 (2008)]. On the other hand, it was observed that damping coefficients upon collisions suppress such phenomenon [Phys. Rev. Lett. 104, 224101 (2010)]. Here, we consider a dissipative model under the presence of in-flight dissipation due to a drag force which is assumed to be proportional to the square of the particle's velocity. Our results reinforce that dissipation leads to a phase transition from unlimited to limited energy growth. The behaviour of the average velocity is described using scaling arguments.

4 pages, 5 figures

References in corpus (7)

• Graphene quantum dots: Beyond a Dirac billiard
• Drag Reduction by Polymers in Wall Bounded Turbulence
• Corrugated waveguide under scaling investigation
• Stable First-order Particle-frame Relativistic Hydrodynamics for Dissipative Systems
• Fermi acceleration and suppression of Fermi acceleration in a time-dependent Lorentz Gas
• Classical Dynamics of the Time-Dependent Elliptical Billiard
• Boundary crisis and suppression of Fermi acceleration in a dissipative two dimensional non-integrable time-dependent billiard

Cited by in corpus (6)

• Phase Space Interpretation of Exponential Fermi Acceleration
• Statistical properties of a dissipative kicked system: critical exponents and scaling invariance
• Crises in a dissipative Bouncing ball model
• Fermi acceleration in chaotic shape-preserving billiards
• Dynamical properties of a dissipative discontinuous map: A scaling investigation
• Energy Transport Property of Charged Particles with Time-Dependent Damping Force via Manifold-Based Analysis Approach