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has been cited by the following article:

• TITLE: Temperature Fluctuations in a Rectangular Nanochannel

  AUTHORS: José A. Fornés

  KEYWORDS: Nanochannels, Temperature Fluctuations, Random Heat Flow, Thermal Relaxation, Temporal and Spatial Correlations

  JOURNAL NAME: Journal of Biomaterials and Nanobiotechnology, Vol.6 No.3, May 27, 2015

  ABSTRACT: We consider an incompressible fluid in a rectangular nanochannel. We solve numerically the three dimensional Fourier heat equation to get the steady solution for the temperature. Then we set and solve the Langevin equation for the temperature. We have developed equations in order to determine relaxation time of the temperature fluctuations, τT = 4.62 × 10-10s. We have performed a spectral analysis of the thermal fluctuations, with the result that temporal correlations are in the one-digit ps range, and the thermal noise excites the thermal modes in the two-digit GHz range. Also we observe long-range spatial correlation up to more than half the size of the cell, 600 nm; the wave number, q, is in the 106 m-1 range. We have also determined two thermal relaxation lengths in the z direction: l1 = 1.18 nm and l2 = 9.86 nm.