1. Exact solutions for a coherent phenomenon of condensation in conservative Hamiltonian systems
- Author
-
Biasi, Anxo
- Subjects
Condensed Matter - Statistical Mechanics ,Condensed Matter - Quantum Gases ,Mathematical Physics ,Mathematics - Analysis of PDEs ,Nonlinear Sciences - Exactly Solvable and Integrable Systems - Abstract
While it is known that Hamiltonian systems may undergo a phenomenon of condensation akin to Bose-Einstein condensation, not all the manifestations of this phenomenon have been uncovered yet. In this work we present a novel form of condensation in conservative Hamiltonian systems that stands out due to its evolution through highly coherent states. The result is based on a deterministic approach to obtain exact explicit solutions representing the dynamical formation of condensates in finite time. We reveal a dual-cascade behavior during the process, featuring inverse and direct transfer of conserved quantities across the spectrum. The direct cascade yields the excitation of arbitrarily high modes in finite time, being associated with the formation of a small-scale coherent structure. We provide a fully analytic description of the processes involved., Comment: Accepted for publication in Physical Review E: https://journals.aps.org/pre/accepted/4f078Y70Cdc1377c77608af6e3ce4da2e4ce56b8d
- Published
- 2024