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. Author manuscript; available in PMC: 2015 Jan 21.
Published in final edited form as: Proc ASME Micro Nanoscale Heat Mass Transf Int Conf (2012). 2012 Mar;2012:735–743. doi: 10.1115/MNHMT2012-75019

FIGURE 3.

FIGURE 3

Convergence in the proportionality coefficient, (a) α0(λ), (b) β0(λ) for τ/τν = 2; characteristic memory time as a function of proportionality coefficient (c) α0(λ), (d) β0(λ) and (e) translational and rotational temperatures of the nanoparticle of radius a = 200 nm by using Mittag-Leffler noise (λ = 0.5). The proportionality coefficients α0 and β0 are non-dimensionalized using τνλ-2=τν-1.5. For a given τ/τν, if α0(λ), β0(λ) are chosen from (c) and (d), respectively, then the thermostat satisfies the equipartition theorem within 3% error. When α0(λ)/τν-1.5=28.21×10-9 (a) and β0(λ)/τν-1.5=28.67×10-9 (b) are independent of τ, the thermostat satisfies the equipartition theorem in the plateau region given by (e). It is to be noted that in the same plateau region ((c) and (d)), α0 and β0 remain constant and agree with the values given in (a) and (b) respectively.