Solving a nonlinear analytical model for bosonic equilibration

Abstract

An integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the singularity at $\epsilon =\mu$. The buildup of a thermal tail during evaporative cooling, as well as the transition to the condensed state are accounted for. To enforce particle-number conservation during the cooling process with an energy-dependent density of states for a three-dimensional thermal cloud, a time-dependent chemical potential is introduced.

15 pages, 8 figures, as published

References in corpus (5)

• Theory of Bose-Einstein condensation in trapped gases
• Evolution of Correlation Properties and Appearance of Broken Symmetry in the Process of Bose-Einstein Condensation
• Equilibration in finite Bose systems
• Equilibration in fermionic systems
• Local equilibration of fermions and bosons

Cited by in corpus (7)

• Nonlinear diffusion of fermions and bosons
• Time-dependent condensate fraction in an analytical model
• Time-dependent condensation of bosonic potassium
• Aspects of relativistic heavy-ion collisions
• Time-dependent entropy of a cooling Bose gas
• Partial Ly$\alpha$ thermalization in an analytic nonlinear diffusion model
• Time-dependent condensate formation in ultracold atoms with energy-dependent transport coefficients