Exact solutions for a coherent phenomenon of condensation in conservative Hamiltonian systems

Autor:	Biasi, Anxo
Rok vydání:	2024
Předmět:	Condensed Matter - Statistical Mechanics Condensed Matter - Quantum Gases Mathematical Physics Mathematics - Analysis of PDEs Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Phys. Rev. E 110, 034107 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.110.034107
Popis:	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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.15083 Zobrazit plný text záznamu View this record from Arxiv