Temperature Fluctuations in a Rectangular Nanochannel

José A. Fornés

doi:10.4236/jbnb.2015.63011

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JBNB> Vol.6 No.3, July 2015

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Temperature Fluctuations in a Rectangular Nanochannel

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DOI: 10.4236/jbnb.2015.63011 4,297 Downloads 4,653 Views

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José A. Fornés^*

Affiliation(s)

Departamento de Fsica Aplicada I, Facultad de Ciencias Físicas, Universidad Complutense, Madrid, Spain.

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, τ_T = 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.

KEYWORDS

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

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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

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