scholarly journals Disordered elastic systems and one-dimensional interfaces

2012 ◽  
Vol 407 (11) ◽  
pp. 1725-1733 ◽  
Author(s):  
E. Agoritsas ◽  
V. Lecomte ◽  
T. Giamarchi
Keyword(s):  
One Dimensional ◽  
Elastic Systems

Pulsatile Flow Behavior in Elastic Systems Containing Wave Reflection Sites

1969 ◽  
Vol 91 (1) ◽  
pp. 95-102 ◽  
Author(s):  
J. L. Campbell ◽  
T. Yang
Keyword(s):  
Pulsatile Flow ◽  
Analytical Study ◽  
Wave Reflection ◽  
Flow Behavior ◽  
Reasonable Accuracy ◽  
One Dimensional ◽  
Test Conditions ◽  
Elastic Systems ◽  
Mass Flow Rates ◽  
Human Cardiovascular System

An analytical study is presented for one-dimensional, pulsatile flow of an incompressible fluid in systems of elastic tubing. Nonlinear terms are retained in the system of describing equations. Three experimental test systems with characteristics similar in some respects to those of the human cardiovascular system are described. These systems were used for experimental verification of the analytical predictions. Comparisons of the analytical predictions and experimental results show that pressures, mass flow rates, and velocities can be predicted with reasonable accuracy for all test conditions employed on the three models.

Doorway states in quasi–one-dimensional elastic systems

2012 ◽  
Vol 99 (5) ◽  
pp. 54002 ◽  
Author(s):  
A. Morales ◽  
A. Díaz-de-Anda ◽  
J. Flores ◽  
L. Gutiérrez ◽  
R. A. Méndez-Sánchez ◽  
...  
Keyword(s):  
One Dimensional ◽  
Elastic Systems

scholarly journals On the magnetorotational instability and elastic buckling

2015 ◽  
Vol 471 (2177) ◽  
pp. 20140699 ◽  
Author(s):  
Geoffrey M. Vasil
Keyword(s):  
Mean Field ◽  
Elastic Beam ◽  
Nonlinear Feedback ◽  
Magnetorotational Instability ◽  
Universal Class ◽  
Dynamical Equations ◽  
One Dimensional ◽  
Elastic Systems ◽  
Non Local ◽  
Asymptotic Reduction

This paper demonstrates an equivalence between rotating magnetized shear flows and a stressed elastic beam. This results from finding the same form of dynamical equations after an asymptotic reduction of the axis-symmetric magnetorotational instability (MRI) under the assumption of almost-critical driving. The analysis considers the MRI dynamics in a non-dissipative near-equilibrium regime. Both the magnetic and elastic systems reduce to a simple one-dimensional wave equation with a non-local nonlinear feedback. Under transformation, the equation comprises a large number of mean-field interacting Duffing oscillators. This system was the first proven example of a strange attractor in a partial differential equation. Finding the same reduced equation in two natural applications suggests the model might result from other applications and could fall into a universal class based on symmetry.

scholarly journals Anderson Localization Phenomenon in One-Dimensional Elastic Systems

2013 ◽  
Vol 124 (6) ◽  
pp. 1063-1068 ◽  
Author(s):  
R.A. Méndez-Sánchez ◽  
L. Gutiérrez ◽  
A. Morales ◽  
J. Flores ◽  
A. Díaz-de-Anda ◽  
...  
Keyword(s):  
Anderson Localization ◽  
One Dimensional ◽  
Localization Phenomenon ◽  
Elastic Systems
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