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Temperature Fluctuations in a Rectangular Nanochannel

DOI: 10.4236/jbnb.2015.63011   PDF   HTML   XML   4,443 Downloads   4,823 Views  

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.

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Fornés, J. (2015) Temperature Fluctuations in a Rectangular Nanochannel. Journal of Biomaterials and Nanobiotechnology, 6, 117-125. doi: 10.4236/jbnb.2015.63011.

Conflicts of Interest

The authors declare no conflicts of interest.

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