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Updated: May 27, 2026
09:55
Surface Renewal: An Advanced Micrometeorological Method for Measuring and Processing Field-Scale Energy Flux Density Data
Published on: December 12, 2013
Energy gain induced by boundary crisis
C Vieira Abud1, R Egydio de Carvalho
1Instituto de Física, Universidade de São Paulo-USP, 05315-970 São Paulo, São Paulo, Brazil. cabud@if.usp.br
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
Summary
Even with high dissipation, particle energy can increase beyond non-dissipative levels. This study reveals how introducing dissipation paradoxically boosts energy in nonlinear systems.
Area of Science:
- Nonlinear dynamics
- Statistical mechanics
- Particle physics
Background:
- Investigating particle behavior in dynamic systems is crucial.
- Understanding energy dynamics in systems with dissipation presents challenges.
Purpose of the Study:
- To explore the counterintuitive phenomenon of increased particle energy with dissipation.
- To analyze the role of nonlinear dynamics in energy gain.
Main Methods:
- Reconsideration of a time-dependent annular billiard model.
- Inclusion of inelastic collisions with system boundaries.
- Analysis of particle trajectories and energy levels under varying dissipation.
Main Results:
- Observed higher mean particle energy with high dissipation compared to non-dissipative cases.
- Identified boundary crisis phenomenon leading to higher asymptotic energy.
- Demonstrated energy levels significantly exceeding pre-crisis and non-dissipative means.
Conclusions:
- Dissipation can paradoxically lead to increased particle energy in specific nonlinear systems.
- Nonlinear dynamics analysis is essential for understanding energy gain strategies via dissipation.
- The boundary crisis is a key mechanism driving this unexpected energy increase.
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