Phase Transition and Diffusion in an Adiabatic Bouncer Model

TL;DR

This paper investigates how a nonlinear bouncer model exhibits various diffusion regimes and phase transitions, characterized by scaling laws and critical exponents, revealing complex dynamical behavior.

Contribution

It introduces a detailed analysis of phase transitions and diffusion types in an adiabatic bouncer model with short-range interactions, highlighting the role of control parameters.

Findings

Transitions between superdiffusion, normal diffusion, and subdiffusion observed.

Dynamical freezing occurs under certain conditions.

Scaling laws and critical exponents characterize phase behavior.

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.