Phase Transition and Diffusion in an Adiabatic Bouncer Model

Abstract

This study examines anomalous diffusion and dynamical phase transitions in a nonlinear bouncer model with short-range interactions leading to velocity-dependent (adiabatic) collisions. By varying a control parameter, transitions between superdiffusion, normal diffusion, subdiffusion, and complete dynamical freezing are observed. The phase behavior is characterized via scaling laws and critical exponents, providing a robust framework for understanding the underlying dynamics.

5 pages, 3 figures