Bose gases in weakly twisted annular-sector waveguides
- Primary subject
- Physics and Astronomy
- Subject subfields
- Statistical and Nonlinear Physics · Mathematical Physics
- Paper type
- Research Article
- Manuscript stage
- Preprint
We study an ideal Bose gas in an infinite-volume Dirichlet tube whose annular-sector cross-section rotates with speed c(1+z^2)^(p/2) as c decreases to zero. At particle scale c^(-1/p), critical scaled density is finite exactly for 0 < p < 1, with the excess in the single ground mode. An operator-valued symbol retains every transverse band. For p > 1, the denser scale c^(-2/(p+1)) produces positive limiting occupation fractions in every fixed mode of an anharmonic oscillator. The marginal logarithmic scale is identified by a sector-specific uniform harmonic comparison. Actual fixed-mode spectral limits, intermediate-energy counts, full fixed-time heat traces and singular excited occupations are controlled. All statistical conclusions concern grand-canonical mean occupations; classical power-trap and free-Gibbs laws are credited.