  We perform an ab initio analysis of the temperature dependence of the phase
coherence length of finite temperature, quasi-one-dimensional Bose gases
measured in the experiments of Richard et al. (Phys. Rev. Lett. 91, 010405
(2003)) and Hugbart et al. (Eur. Phys. J. D 35, 155-163 (2005)), finding very
good agreement across the entire observed temperature range
($0.8<T/T_{\phi}<28$). Our analysis is based on the one-dimensional stochastic
Gross-Pitaevskii equation, modified to self-consistently account for
transverse, quasi-one-dimensional effects, thus making it a valid model in the
regime $\mu ~ few \hbar \omega_\perp$. We also numerically implement an
alternative identification of $T_{\phi}$, based on direct analysis of the
distribution of phases in a stochastic treatment.
