scholarly journals Фононы и кроссовер Иоффе-Регеля в случайных решетках произвольной размерности

2021 ◽  
Vol 63 (12) ◽  
pp. 2009
Author(s):  
Д.А. Конюх
Keyword(s):  
Energy Dissipation ◽  
Diffusion Equation ◽  
Matrix Theory ◽  
Memory Function ◽  
Young Modulus ◽  
Equation Of Motion ◽  
Scalar Model ◽  
Initial Plane ◽  
Amorphous Systems ◽  
Harmonic Scalar

In the frame of the random matrix theory, it was shown, that the relaxation of the projection of the initial plane wave with the wave vector q is described by the equation of motion with the memory function which corresponds to the complex dynamical Young modulus E(ω). In the harmonic scalar model of displacements with the absence of energy dissipation, the Ioffe-Regel crossover arises universally in amorphous systems with the dimension d≥3. Vibrations above the Ioffe-Regel crossover are related to the diffusive nature and can be described by the diffusion equation with the damping Γ(q)∝ q².

HYSTERESIS IN A MEAN-FIELD SPIN MODEL: OSCILLATION BEHAVIOR AND NEGATIVE ENERGY DISSIPATION

2005 ◽  
Vol 19 (23) ◽  
pp. 1131-1140 ◽  
Author(s):  
HUAI-YU WANG
Keyword(s):  
Energy Dissipation ◽  
Field Strength ◽  
Mean Field ◽  
Equation Of Motion ◽  
Negative Energy ◽  
Spin Model ◽  
Oscillation Regime ◽  
Ising System ◽  
Loop Area ◽  
Hysteresis Loop Area

For a mean-field ferromagnetic Ising system subject to a rotating transverse external field and a bath, the hysteresis loop area is studied by a complete analytical solution of the equation of motion of magnetization. In any cycle, the loop area is proportional to the field when the field strength is small and oscillates when the field strength is strong. The oscillation comes from the modulation of the behavior of magnetization with a frequency related to the field strength, which is caused by interaction between the Ising system and the bath. In the oscillation regime, the loop area can be negative except in the first cycle.

scholarly journals Energy dissipation for hereditary and energy conservation for non-local fractional wave equations

2020 ◽  
Vol 378 (2172) ◽  
pp. 20190295 ◽  
Author(s):  
Dušan Zorica ◽  
Ljubica Oparnica
Keyword(s):  
Energy Dissipation ◽  
Energy Conservation ◽  
Wave Equations ◽  
A Priori ◽  
Constitutive Models ◽  
Equation Of Motion ◽  
Constitutive Law ◽  
Energy Estimates ◽  
Fractional Wave Equations ◽  
Non Local

Using the method of a priori energy estimates, energy dissipation is proved for the class of hereditary fractional wave equations, obtained through the system of equations consisting of equation of motion, strain and fractional order constitutive models, that include the distributed-order constitutive law in which the integration is performed from zero to one generalizing all linear constitutive models of fractional and integer orders, as well as for the thermodynamically consistent fractional Burgers models, where the orders of fractional differentiation are up to the second order. In the case of non-local fractional wave equations, obtained using non-local constitutive models of Hooke- and Eringen-type in addition to the equation of motion and strain, a priori energy estimates yield the energy conservation, with the reinterpreted notion of the potential energy. This article is part of the theme issue ‘Advanced materials modelling via fractional calculus: challenges and perspectives’.

Study on Time History Method of Structure with Energy-Dissipation Devices Based on Complex Mode

2011 ◽  
Vol 94-96 ◽  
pp. 1192-1195
Author(s):  
Zhi Qiang Bai ◽  
Wen Feng Liu
Keyword(s):  
Differential Equation ◽  
Energy Dissipation ◽  
Time History ◽  
Equation Of Motion ◽  
Complex Mode ◽  
Dissipation Structure ◽  
Energy Dissipation Devices

Differential equation of motion of energy-dissipation structure is established in the paper. In order to decouple the equation ,the equation is be reduced based on complex mode theory.Take a 10-storey shearing frame for an example ,selecting elcentro and taft wave as seismic motions ,structural roof displacements and relative storey displacements are be calculated and the effect of energy-dissipation dampers is evaluated.

Vibration Control of Offshore Platform Structure with Friction Dampers

2014 ◽  
Vol 638-640 ◽  
pp. 318-321
Author(s):  
Da Hai Zhao ◽  
Jing Lin Zhang
Keyword(s):  
Energy Dissipation ◽  
Vibration Control ◽  
Equation Of Motion ◽  
Offshore Platform ◽  
Wave Loads ◽  
Friction Damper ◽  
Friction Dampers ◽  
Offshore Platform Structure ◽  
Better Than

The performance of friction dampers to mitigate waves and earthquakes in tower-type offshore platform is investigated in this paper. Taking the offshore platform of TOWER-1 as an example, the equation of motion of offshore platform structure under earthquake and wave loads was established. The response reductions of offshore platform structure by different peak earthquakes were analyzed. The results show that the responses of the tower-type offshore platform structure under wave and earthquake could be effectively reduced by friction damper, and the energy dissipation ability of the friction damper differs in the different floors. The friction dampers give good response reductions in different peak earthquakes, and the response reductions of displacement are better than those of acceleration.

Derivation of memory function from its equation of motion

2003 ◽  
Vol 41 (6) ◽  
pp. 567-574 ◽  
Author(s):  
Shaminder Singh ◽  
Sunita Srivastava ◽  
C.N. Kumar ◽  
K. Tankeshwar*
Keyword(s):  
Memory Function ◽  
Equation Of Motion

On braneworld monomial inflation

2018 ◽  
Vol 33 (25) ◽  
pp. 1850147
Author(s):  
R. Ahl Laamara ◽  
H. ES-SOBBAHI ◽  
S. E. Ennadifi
Keyword(s):  
Observational Data ◽  
High Energy ◽  
Equation Of Motion ◽  
Type Ii ◽  
Scalar Model ◽  
Slow Roll ◽  
Energy Regime ◽  
Perturbation Spectrum ◽  
High Energy Regime

We investigate a monomial inflationary scalar model in the braneworld Randall–Sundrum type II model. In the high-energy regime, we determine the slow-roll parameters as well as the perturbation spectrum of the model. According to the known observational data, the corresponding results and the solutions of the equation of motion on the brane are discussed.

Continuous VA deficiency during postnatal development decreases rat learning and memory function via excitatory Ca2+neuron

2010 ◽  
Vol 34 (8) ◽  
pp. S18-S18
Author(s):  
Wei Jiang ◽  
Enyi Wen ◽  
Min Gong ◽  
Yang Bi ◽  
Xiaojuan Zhang ◽  
...  
Keyword(s):  
Postnatal Development ◽  
Learning And Memory ◽  
Memory Function
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