16 citations · 16 across the 2 of their papers we have counts for
8 papers
A Rheological Analogue for Brownian Motion with Hydrodynamic Memory
Nicos Makris
When the density of the fluid surrounding suspended Brownian particles is appreciable, in addition to the forces appearing in the traditional Ornstein and Uhlenbeck theory of Brown…
Impulse Response Function for Brownian Motion
Nicos Makris
Motivated from the central role of the mean-square displacement and its second time-derivative -- that is the velocity autocorrelation function $\left\langle v(0)v(t)\right\rangle=…
The fractional derivative of the Dirac delta function and new results on the inverse Laplace transform of irrational functions
Nicos Makris
Motivated from studies on anomalous diffusion, we show that the memory function of complex materials, that their creep compliance follows a power law, with $q…
Viscous-Viscoelastic Correspondence Principle for Brownian Motion
Nicos Makris
Motivated from the classical expressions of the mean squared displacement and the velocity autocorrelation function of Brownian particles suspended either in a Newtonian viscous fl…
Time-Response Functions of Fractional-Derivative Rheological Models
Nicos Makris, Eleftheria Efthymiou
In view of the increasing attention to the time responses of complex fluids described by power-laws in association with the need to capture inertia effects that manifest in high-fr…
On the Physical Meaning of Time-Domain Constitutive Models with Complex Parameters
Nicos Makris
This paper revisits the physical meaning of linear, time-domain constitutive models with complex parameters that have been presented in the literature and concludes that such model…