Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics
Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics
Thermoelectric Properties of Fe0.2Co3.8Sb12-xTex ... - Physics
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Self-propelled granular rod amid a noisy medium: An experimental test<br />
<strong>of</strong> Isometric Fluctuation-Relation<br />
Nitin Kumar*, Sriram Ramaswamy and A.K. Sood<br />
Department <strong>of</strong> <strong>Physics</strong>, Indian Institute <strong>of</strong> Science, Bangalore-560012, India.<br />
Abstract<br />
We provide an experiment to examine Isometric Fluctuation Relation (IFR) [1] which relates the<br />
relative probabilities <strong>of</strong> two isometric current vectors pointing in different directions in d-<br />
dimensional space. The experiment consists <strong>of</strong> a self-propelled granular rod moving amidst a<br />
noisy medium <strong>of</strong> spherical particles on a two dimensional surface. We analyse its two<br />
dimensional velocity vector field (V) and show that IFR is indeed valid but only at “higher”<br />
velocities whose magnitude is greater than transverse width <strong>of</strong> velocity distribution at V = 0.<br />
Using IFR, we confirm that Gallavotti-Cohen Fluctuation Relation (GCFR) can be obtained as a<br />
special case when velocity vectors are pointing in opposite directions [2]. Moreover using IFR<br />
we show that GCFR is valid even when current fluctuations are oblique to the propulsive force.<br />
We compute the Large Deviation Function (LDF) which is very different from paraboloid<br />
signifying that system obeys IFR even when the fluctuations are non-Gaussian.<br />
References:<br />
[1] P. I. Hurtado et al., PNAS 108, 7704 (2011)<br />
[2] Nitin Kumar, Sriram Ramaswamy and A. K. Sood, Phys. Rev. Lett. 106,118001 (2011).<br />
_____________<br />
*electronic mail: nksharma@physics.iisc.ernet.in
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