scholarly journals Unique minimizer for a random functional with double-well potential in dimension 1 and 2

2011 ◽  
Vol 9 (2) ◽  
pp. 331-351 ◽  
Author(s):  
Nicolas Dirr ◽  
Enza Orlandi
Keyword(s):  
Unique Minimizer ◽  
Double Well Potential

Quantum ohmic dissipation : particle in an asymmetric double-well potential

1986 ◽  
Vol 47 (5) ◽  
pp. 757-766 ◽  
Author(s):  
C. Aslangul ◽  
N. Pottier ◽  
D. Saint-James
Keyword(s):  
Ohmic Dissipation ◽  
Double Well Potential

scholarly journals RETRACTED: Double well potential function and its optimization in the n-dimensional real space: part I

2015 ◽  
Vol 21 (3) ◽  
pp. NP64-NP65 ◽  
Author(s):  
Shu-Cherng Fang ◽  
David Yang Gao ◽  
Gang-Xuan Lin ◽  
Ruey-Lin Sheu ◽  
Wen-Xun Xing
Keyword(s):  
Potential Function ◽  
Real Space ◽  
Double Well Potential

Suppressing Chaos in a Nonideal Double-Well Oscillator Using an Based Electromechanical Damped Device

2014 ◽  
Vol 706 ◽  
pp. 25-34 ◽  
Author(s):  
G. Füsun Alişverişçi ◽  
Hüseyin Bayiroğlu ◽  
José Manoel Balthazar ◽  
Jorge Luiz Palacios Felix
Keyword(s):  
Numerical Simulations ◽  
Chaotic Dynamics ◽  
Duffing Oscillator ◽  
Vibration Energy ◽  
Vibration Absorber ◽  
Electrical System ◽  
Chaotic Vibration ◽  
System A ◽  
Ideal System ◽  
Double Well Potential

In this paper, we analyzed chaotic dynamics of an electromechanical damped Duffing oscillator coupled to a rotor. The electromechanical damped device or electromechanical vibration absorber consists of an electrical system coupled magnetically to a mechanical structure (represented by the Duffing oscillator), and that works by transferring the vibration energy of the mechanical system to the electrical system. A Duffing oscillator with double-well potential is considered. Numerical simulations results are presented to demonstrate the effectiveness of the electromechanical vibration absorber. Lyapunov exponents are numerically calculated to prove the occurrence of a chaotic vibration in the non-ideal system and the suppressing of chaotic vibration in the system using the electromechanical damped device.

scholarly journals Atom interferometer in a double-well potential

2014 ◽  
Vol 90 (6) ◽  
Author(s):  
Karol Gietka ◽  
Jan Chwedeńczuk
Keyword(s):  
Atom Interferometer ◽  
Double Well Potential

Periodic Solutions of Non-autonomous Allen–Cahn Equations Involving Fractional Laplacian

2020 ◽  
Vol 20 (3) ◽  
pp. 725-737 ◽  
Author(s):  
Zhenping Feng ◽  
Zhuoran Du
Keyword(s):  
Variational Methods ◽  
Periodic Solutions ◽  
Smooth Function ◽  
Fractional Laplacian ◽  
Type Inequality ◽  
Energy Functional ◽  
Large Integer ◽  
Existence Of Periodic Solutions ◽  
Double Well Potential

AbstractWe consider periodic solutions of the following problem associated with the fractional Laplacian: {(-\partial_{xx})^{s}u(x)+\partial_{u}F(x,u(x))=0} in {\mathbb{R}}. The smooth function {F(x,u)} is periodic about x and is a double-well potential with respect to u with wells at {+1} and -1 for any {x\in\mathbb{R}}. We prove the existence of periodic solutions whose periods are large integer multiples of the period of F about the variable x by using variational methods. An estimate of the energy functional, Hamiltonian identity and Modica-type inequality for periodic solutions are also established.

scholarly journals Bose Einstein condensation in a magnetic double-well potential

2003 ◽  
Vol 5 (2) ◽  
pp. S119-S123 ◽  
Author(s):  
T G Tiecke ◽  
M Kemmann ◽  
Ch Buggle ◽  
I Shvarchuck ◽  
W von Klitzing ◽  
...  
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Double Well Potential

INVESTIGATION COMPARISON ON THE GATE SPEED OF THREE-LEVEL AND TWO-LEVEL QUANTUM NOT GATES WITH ASYMMETRIC POTENTIAL OF rf-SQUID

2007 ◽  
Vol 21 (19) ◽  
pp. 1261-1270 ◽  
Author(s):  
YING-HUA JI ◽  
JU-JU HU ◽  
SHI-HUA CAI
Keyword(s):  
Microwave Pulse ◽  
Diagonal Matrix ◽  
Matrix Elements ◽  
The Asymmetry ◽  
Rf Squid ◽  
Double Well Potential

We investigate the relation between the speed of quantum NOT gate and the asymmetry or detuning of the potential in system of the interaction of a two-level rf-SQUID qubit with a classical microwave pulse. The rf-SQUID is characterized by an asymmetric double well potential that gives rise to diagonal matrix elements. Then in resonance, we compare the gate speeds for three-level and two-level quantum NOT gates. We show that in general, a three-level gate is much faster than the conventional two-level gate.

scholarly journals Thermal Conductivity of Cage-Like Structures

2011 ◽  
Author(s):  
Mona Zebarjadi ◽  
Keivan Esfarjani ◽  
Gang Chen
Keyword(s):  
Thermal Conductivity ◽  
Atomic Displacement ◽  
Rectangular Lattice ◽  
Local Minima ◽  
Atomic Displacement Parameter ◽  
Band Dispersion ◽  
Dynamics Simulations ◽  
Filler Mass ◽  
The Right ◽  
Double Well Potential

A two dimensional toy model is developed to study thermal transport in cage like structures such a skutterudites and clathrates. The model consists of host atoms on a rectangular lattice with fillers in the center of each rectangle. The thermal conductivity is calculated by using Green-Kubo equilibrium molecular dynamics simulations. It is generally believed that the smaller and the heavier the filler, the lower is the thermal conductivity. We show that the thermal conductivity decreases with atomic displacement parameter while it has local minima versus filler mass. Our study shows that it is very important to include the correct band dispersion to get the right features of the thermal conductivity. We show that by having a double well potential one can further reduce the thermal conductivity.

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