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Solution of Time Dependent Joule Heat Equation for a Graphene Sheet Under Thomson Effect

Verma, Rekha and Bhattacharya, Sitangshu and Mahapatra, Santanu (2013) Solution of Time Dependent Joule Heat Equation for a Graphene Sheet Under Thomson Effect. In: IEEE TRANSACTIONS ON ELECTRON DEVICES, 60 (10, SI). pp. 3548-3554.

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Official URL: http://dx.doi.org/10.1109/TED.2013.2275896

Abstract

We address a physics-based solution of joule heating phenomenon in a single-layer graphene (SLG) sheet under the presence of Thomson effect. We demonstrate that the temperature in an isotopically pure (containing only C-12) SLG sheet attains its saturation level quicker than when doped with its isotopes (C-13). From the solution of the joule heating equation, we find that the thermal time constant of the SLG sheet is in the order of tenths of a nanosecond for SLG dimensions of a few micrometers. These results have been formulated using the electron interactions with the inplane and flexural phonons to demonstrate a field-dependent Landauer transmission coefficient. We further develop an analytical model of the SLG specific heat using the quadratic (out of plane) phonon band structure over the room temperature. Additionally, we show that a cooling effect in the SLG sheet can be substantially enhanced with the addition of C-13. The methodologies as discussed in this paper can be put forward to analyze the graphene heat spreader theory.

Item Type: Journal Article
Additional Information: copyright for this article belongs to IEEE Xplore
Keywords: Electrothermal cooling; graphene; phonons
Department/Centre: Division of Electrical Sciences > Electronic Systems Engineering (Formerly Centre for Electronic Design & Technology)
Depositing User: Id for Latest eprints
Date Deposited: 04 Nov 2013 06:31
Last Modified: 04 Nov 2013 06:31
URI: http://eprints.iisc.ac.in/id/eprint/47676

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