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eld NIR spectrometers, hence their performance is comparable with the benchtop device.This corrects the article DOI 10.1103/PhysRevE.92.062138.In this paper, we develop a large N field theory for a system of N classical particles in one dimension at thermal equilibrium. The particles are confined by an arbitrary external potential, V_ex), and repel each other via a class of pairwise interaction potentials V_int(r) (where r is distance between a pair of particles) such that V_int∼|r|^-k when r→0. We consider the case where ever