The evolution of temperature and density structures of OB cluster-forming molecular clumps.

OB star clusters originate from parsec-scale massive molecular clumps. We aim to understand the evolution of temperature and density structures on the intermediate-scale ($\lesssim$0.1-1 pc) extended gas of massive clumps. We performed $\sim$0.1 pc resolution observations (SMA+APEX) of multiple molecular line tracers (e.g., CH$_{3}$CCH, H$_{2}$CS, CH$_{3}$CN, CH$_{3}$OH) which cover a wide range of excitation conditions, towards a sample of eight massive clumps. Based on various radiative transfer models, we constrain the gas temperature and density structures and establish an evolutionary picture, aided by a spatially-dependent virial analysis and abundance ratios of multiple species. We determine temperature radial profiles varying between 30-200 K over a continuous scale, from the center of the clumps out to 0.3-0.4 pc radii. The clumps' radial gas density profiles, described by radial power-laws with slopes between -0.6 and $\sim$-1.5, are steeper for more evolved sources, as suggested by results based on both dust continuum, representing the bulk of the gas ($\sim$10$^{4}$ cm$^{-3}$), and CH$_{3}$OH lines probing the dense gas ($\gtrsim$10$^{6}$-10$^{8}$ cm$^{-3}$) regime. The density contrast between the dense gas and the bulk gas increases with evolution, and may be indicative of spatially and temporally varying star formation efficiencies. The radial profiles of the virial parameter show a global variation towards a sub-virial state as the clump evolves. The line-widths decline with increasing radius around the central core region and increase in the outer envelope, with a slope shallower than the case of the supersonic turbulence ($\,\propto\,$$r^{0.5}$) and the subsonic Kolmogorov scaling ($\,\propto\,$$r^{0.33}$). In the context of clump evolution, we also find that the abundance ratios of [CCH]/[CH$_{3}$OH] and [CH$_{3}$CN]/[CH$_{3}$OH] show correlations with clump $L/M$.