English

Non-classical critical exponents at Bose-Einstein condensation

Quantum Gases 2020-01-29 v3

Abstract

We show that ideal Bose-Einstein condensation (BEC) in d=3d = 3 dimensions is a non-classical critical second order phase transition with exponents α=1\alpha = -1, β=1\beta = 1, γ=1\gamma = 1, δ=2\delta = 2, η=1\eta = 1 and ν=1\nu = 1, obeying all the scaling equalities. These results are found with no approximations or assumptions. The previous exponents are a critical universality class on its own, different from the so-far accepted notion that BEC belongs to the Spherical Model universality class.

Keywords

Cite

@article{arxiv.1812.05194,
  title  = {Non-classical critical exponents at Bose-Einstein condensation},
  author = {I. Reyes-Ayala and F. J. Poveda-Cuevas and V. Romero-Rochin},
  journal= {arXiv preprint arXiv:1812.05194},
  year   = {2020}
}

Comments

6 pages, no figures

R2 v1 2026-06-23T06:40:51.092Z