5 papers
Integrability-breaking phase transitions in stadium-like billiards
Anne Kétri P. da Fonseca, Edson D. Leonel
We investigate integrability-breaking transitions in two classes of stadium-like billiards with parabolic boundaries. While focusing boundaries generate a mixed phase space in whic…
Jacobian determinant as a deformation field in static billiards
Anne Kétri P. da Fonseca, André L. P. Livorati, Rene O. Medrano-T +2
We develop a deformation-based framework for analyzing static billiard systems through the Jacobian determinant computed in noncanonical angular coordinates. Although these systems…
Scaling invariance for the diffusion coefficient in a billiard system
Anne Kétri P. da Fonseca, Diego F. M. Oliveira, Edson D. Leonel
We investigated the unbounded diffusion observed in a time-dependent oval-shaped billiard and its suppression owing to inelastic collisions with the boundary. The main focus is on…
Symmetry breaking in time-dependent billiards
Anne Kétri Pasquinelli da Fonseca, Edson Denis Leonel
We investigate symmetry breaking in a time-dependent billiard that undergoes a continuous phase transition when dissipation is introduced. The system presents unlimited velocity, a…
Discussing a transition from bounded to unbounded energy in a time-dependent billiard
Anne Kétri P. da Fonseca, Felipe Augusto O. Silveira, Célia M. Kuwana +2
We revisit a time-dependent, oval-shaped billiard to investigate a phase transition from bounded to unbounded energy growth. In the static case, the phase space exhibits a mixed st…