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pro vyhledávání: '"Makris, Nicos"'
Autor:
Makris, Nicos, Dargush, Gary F.
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 precise eigenvalues of Schrodinger's 2nd-order, complex-valued matter-w
Externí odkaz:
http://arxiv.org/abs/2406.05484
Autor:
Makris, Nicos
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 waves have been experimentally observed for large molecules of compara
Externí odkaz:
http://arxiv.org/abs/2404.02016
Autor:
Makris, Nicos
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. It is a composite, flexural-shear beam supported on distributed elasti
Externí odkaz:
http://arxiv.org/abs/2312.05581
Autor:
Makris, Nicos
Publikováno v:
R. Soc. Open Sci. 10: 230793 (2023)
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 relation for matter-waves and he first presents a real-valued wave equat
Externí odkaz:
http://arxiv.org/abs/2302.13416
Autor:
Aghagholizadeh, Mehrdad, Makris, Nicos
Publikováno v:
2022, 12 National Conference on Earthquake Engineering
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-freedom oscillator coupled to a rocking wall with supplemental dampin
Externí odkaz:
http://arxiv.org/abs/2207.00641
Publikováno v:
Royal Society Open Science, 10: 220943, 2013
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 paper we apply concepts from statistical mechanics and microrheology to de
Externí odkaz:
http://arxiv.org/abs/2205.06759
Autor:
Makris, Nicos
Publikováno v:
Physics of Fluids 33, 072014, 2021
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 Brownian motion, additional forces emerge as the displaced fluid in the vic
Externí odkaz:
http://arxiv.org/abs/2106.03108
Publikováno v:
In Computers and Geotechnics February 2024 166
Autor:
Efthymiou, Eleftheria, Makris, Nicos
Publikováno v:
Earthquake Engineering and Structural Dynamics, March 2022
Motivated from the quadratic dependence of peak structural displacements to the pulse period, $T_p$, of pulse-like ground motions, this paper revisits the $T_p$--$M_\text{W}$ relations of ground motions generated from near-source earthquakes with epi
Externí odkaz:
http://arxiv.org/abs/2104.11102
Autor:
Makris, Nicos
Publikováno v:
Soft Matter, Royal Society of Chemistry 2021
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=\frac{1}{2} \frac{\mathrm{d}^{2} \left\langle \Delta r^{2} (t)\right\r
Externí odkaz:
http://arxiv.org/abs/2102.01786