Large area mapping at 850 microns. III. Analysis of the clump distribution in the Orion B molecular cloud

We present results from a survey of a 900 arcmin(2) region of the Orion B molecular cloud, including NGC 2068, NGC 2071, and HH 24/25/26, at 850 mum using the Submillimeter Common-User Bolometer Array (SCUBA) on the James Clerk Maxwell Telescope. Following the techniques developed by Johnstone et al., we identify 75 independent objects and compute size, flux, and degree of central concentration. Comparison with isothermal, pressure-confined, self-gravitating Bonnor-Ebert spheres implies that the clumps have internal temperatures of 20-40 K and surface pressures 5.5 < log P/k < 6.5. The clump masses span 0.2-12.3 M-circle dot assuming typical dust temperatures and a dust emissivity kappa (850) = 0.01 cm(2) g(-1). The distribution of clump masses is well characterized by a power-law N(M) proportional to M-alpha with alpha = 1.5-2.0 for M > 1.0 M-circle dot. Significant incompleteness makes determination of the slope at lower masses difficult. The two-point correlation function of the clump separations is measured revealing clustering on size scales r < 1.5 x 10(5) AU with a radial power-law exponent <gamma> = 0.75.