2015
DOI: 10.1016/j.chaos.2015.09.016
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Memory-induced sign reversals of the spatial cross-correlation for particles in viscoelastic shear flows

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Cited by 5 publications
(3 citation statements)
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“…Mankin and co-workers studied the influence of memory on the motion of trapped Brownian particles in oscillatory viscoelastic shear flow with a power-law-type memory kernel. , Among other things, they discovered a dynamic phase transition from a trapped to a diffusive state when increasing the memory exponent. Moreover, the cross-correlation of the particle motion in flow and shear direction changed sign twice with increasing exponent.…”
Section: Physical Impact Of Memorymentioning
confidence: 99%
“…Mankin and co-workers studied the influence of memory on the motion of trapped Brownian particles in oscillatory viscoelastic shear flow with a power-law-type memory kernel. , Among other things, they discovered a dynamic phase transition from a trapped to a diffusive state when increasing the memory exponent. Moreover, the cross-correlation of the particle motion in flow and shear direction changed sign twice with increasing exponent.…”
Section: Physical Impact Of Memorymentioning
confidence: 99%
“…This model is shown to generate signals exhibiting power-law decay in statistical properties such as the steady state probability distribution and the 1/ f β power spectrum. In paper [16] a "generalized Langevin equation with a powerlaw-type memory kernel is used to model the complex structure of the viscoelastic media". The superposition of different kind of noise terms is studied: a multiplicative white Gaussian noise, an internal fractional Gaussian noise and an additive external white noise.…”
Section: Stochastic Modeling and Noise In Complexitymentioning
confidence: 99%
“…In papers [13,14,15,16,17] the modeling approach to complexity is based on the theory of stochastic processes. All these papers, with the exception of the last one, are based on the standard or generalized Langevin equation.…”
Section: Stochastic Modeling and Noise In Complexitymentioning
confidence: 99%