Diffusive motion with nonlinear friction: apparently Brownian

The Journal of Chemical Physics
P S Goohpattader, M K Chaudhury

Abstract

We study the diffusive motion of a small object placed on a solid support using an inertial tribometer. With an external bias and a Gaussian noise, the object slides accompanied with a fluctuation of displacement that exhibits unique characteristics at different powers of the noise. While it exhibits a fluidlike motion at high powers, a stick-slip motion occurs at a low power. Below a critical power, no motion is observed. The signature of a nonlinear friction is evident in this type of stochastic motion both in the reduced mobility in comparison to that governed by a linear kinematic (Stokes-Einstein-like) friction and in the non-Gaussian probability distribution of the displacement fluctuation. As the power of the noise increases, the effect of the nonlinearity appears to play a lesser role, so that the displacement fluctuation becomes more Gaussian. When the distribution is exponential, it also exhibits an asymmetry with its skewness increasing with the applied bias. A new finding of this study is that the stochastic velocities of the object are so poorly correlated that its diffusivity is much lower than either the linear or the nonlinear friction cases studied by de Gennes [J. Stat. Phys. 119, 953 (2005)]. The mobilities a...Continue Reading

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Citations

Nov 18, 2011·The European Physical Journal. E, Soft Matter·P S GoohpattaderM K Chaudhury
Aug 7, 2012·The European Physical Journal. E, Soft Matter·P S Goohpattader, M K Chaudhury
Feb 16, 2013·The European Physical Journal. E, Soft Matter·Manoj K Chaudhury, Partho Sarathi Goohpattader
May 11, 2013·Langmuir : the ACS Journal of Surfaces and Colloids·Aditi Chakrabarti, Manoj K Chaudhury
Sep 12, 2012·Langmuir : the ACS Journal of Surfaces and Colloids·S Mettu, M K Chaudhury
May 23, 2012·Nature Materials·Bo WangSteve Granick
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andreas M Menzel, Nigel Goldenfeld
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yaming ChenWolfram Just
Jul 16, 2017·Physical Review. E·Paul M Geffert, Wolfram Just
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andreas M Menzel
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yaming Chen, Wolfram Just
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrea GnoliAlberto Petri
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yaming Chen, Wolfram Just

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Methods Mentioned

BETA
electrophoresis
AFM

Software Mentioned

MIDAS

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