24 citations · 145 across the 17 of their papers we have counts for
17 papers
Spectral Analysis of Brownian Motion with its Rheological Analogues
Nicos Makris
The power spectrum of the Brownian motion of probe microparticles with mass m and radius R immersed in a viscoelastic material reveals valuable information about repetitive pattern…
A Real-Valued Description of Quantum Mechanics with Schrodinger's 4th-order Matter-Wave Equation
Nicos Makris, Gary F. Dargush
Using a variational formulation, we show that Schrodinger's 4th-order, real-valued matter-wave equation which involves the spatial derivatives of the potential V(r), produces the p…
Brownian Particles and Matter Waves
Nicos Makris
In view of the remarkable progress in micro-rheology to monitor the random motion of Brownian particles with size as small as few nanometers, in association that de Broglie matter…
Mechanical Analogue for Schrodinger's Matter-Wave Equation
Nicos Makris
In this paper we first show that, there exists a precise mechanical analogue for the one-dimensional version of Schrodinger's original 4th-order, real-valued matter-wave equation.…
Revisiting Schrodinger's fourth-order, real-valued wave equation and its implications to energy levels
Nicos Makris
In his seminal part IV, Ann. der Phys. Vol 81, 1926 paper, Schrodinger has developed a clear understanding about the wave equation that produces the correct quadratic dispersion re…
Seismic Response of Yielding Structures Coupled to Rocking Walls with Supplemental Damping
Mehrdad Aghagholizadeh, Nicos Makris
Given that the coupling of a framing structure to a strong, rocking wall enforces a first-mode response, this paper investigates the dynamic response of a yielding single-degree-of…
Mechanical Analog for Cities
Nicos Makris, Gholamreza Moghimi, Eric Godat +1
Motivated from the increasing need to develop a quantitative, science-based, predictive understanding of the dynamics and response of cities when subjected to hazards, in this pape…
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…
Pulse-Period--Moment-Magnitude Relations Derived with Wavelet Analysis and their Relevance to Estimate Structural Deformations
Eleftheria Efthymiou, Nicos Makris
Motivated from the quadratic dependence of peak structural displacements to the pulse period, , of pulse-like ground motions, this paper revisits the -- relat…
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…
Earthquake Response Analysis of Yielding Structures Coupled with Rocking Walls
Mehrdad Aghagholizadeh, Nicos Makris
This paper investigates the inelastic response of a yielding structure coupled with a rocking wall which can be vertically restrained. The paper first derives the nonlinear equatio…
The Frequency Response Function of the Creep Compliance
Nicos Makris
Motivated from the need to convert time-dependent rheometry data into complex frequency response functions, this paper studies the frequency response function of the creep complian…
Time-Response Functions of Mechanical Networks with Inerters and Causality
Nicos Makris
This paper derives the causal time-response functions of three-parameter mechanical networks that have been reported in the literature and involve the inerter-a two-node element in…