One-dimensional Ising-like systems: an analytical investigation of the static and dynamic properties, applied to spin-crossover relaxation

2000 ◽  
Vol 15 (2) ◽  
pp. 317-326 ◽  
Author(s):  
K. Boukheddaden ◽  
J. Linares ◽  
H. Spiering ◽  
F. Varret
Keyword(s):  
Spin Crossover ◽  
Dynamic Properties ◽  
Analytical Investigation ◽  
One Dimensional

Study on the Dynamic Performance of Asphalt Concrete under Passive Confined Pressure

2012 ◽  
Vol 226-228 ◽  
pp. 1755-1759
Author(s):  
Hua Zhang ◽  
Fei Li ◽  
Yu Wei Gao
Keyword(s):  
Elastic Modulus ◽  
Asphalt Concrete ◽  
Poisson Ratio ◽  
Dynamic Properties ◽  
Dynamic Performance ◽  
Dynamic Strength ◽  
Confining Pressure ◽  
Mechanical Behaviors ◽  
One Dimensional ◽  
Stress States

An improved passive confining pressure SHPB method was used to study the dynamic mechanical behaviors of asphalt concrete under quasi-one dimensional strain state. The effect of confining jacket material and its geometrical sizes on the confining pressure were discussed. The dynamic strength, dynamic modulus of elasticity and dynamic Poisson ratio of asphalt concrete were obtained. The influential rules of confining pressure on the dynamic properties were studied by comparing the stress-strain curves of asphalt concrete under different stress states. The study found that passive confining greater impact on the strength of asphalt concrete than elastic modulus and Poisson ratio, but the elastic modulus improved with the increase of confining pressure.

scholarly journals Research on Pseudorandom Number Generator Based on Several New Types of Piecewise Chaotic Maps

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Hongyan Zang ◽  
Yue Yuan ◽  
Xinyuan Wei
Keyword(s):  
Theoretical Basis ◽  
Chaotic Maps ◽  
Dynamic Properties ◽  
Chaotic Map ◽  
Pseudorandom Number ◽  
Pseudorandom Number Generator ◽  
Number Generator ◽  
High Quality ◽  
One Dimensional ◽  
Construction Methods

This paper proposes three types of one-dimensional piecewise chaotic maps and two types of symmetrical piecewise chaotic maps and presents five theorems. Furthermore, some examples that satisfy the theorems are constructed, and an analysis and model of the dynamic properties are discussed. The construction methods proposed in this paper have a certain generality and provide a theoretical basis for constructing a new discrete chaotic system. In addition, this paper designs a pseudorandom number generator based on piecewise chaotic map and studies its application in cryptography. Performance evaluation shows that the generator can generate high quality random sequences efficiently.

A Chaotification model based on sine and cosecant functions for enhancing chaos

2021 ◽  
Author(s):  
Yuqing Li ◽  
Xing He ◽  
Dawen Xia
Keyword(s):  
Fixed Point ◽  
Lyapunov Exponent ◽  
Chaotic Maps ◽  
Dynamic Properties ◽  
Chaotic Map ◽  
Sample Entropy ◽  
One Dimensional ◽  
Model Based ◽  
Chaotic Region ◽  
Definition Of

Chaotic maps with higher chaotic complexity are urgently needed in many application scenarios. This paper proposes a chaotification model based on sine and cosecant functions (CMSC) to improve the dynamic properties of existing chaotic maps. CMSC can generate a new map with higher chaotic complexity by using the existing one-dimensional (1D) chaotic map as a seed map. To discuss the performance of CMSC, the chaos properties of CMSC are analyzed based on the mathematical definition of the Lyapunov exponent (LE). Then, three new maps are generated by applying three classical 1D chaotic maps to CMSC respectively, and the dynamic behaviors of the new maps are analyzed in terms of fixed point, bifurcation diagram, sample entropy (SE), etc. The results of the analysis demonstrate that the new maps have a larger chaotic region and excellent chaotic characteristics.

scholarly journals FERROELECTRIC LIQUID CRYSTALS: FROM THE PLANE WAVE TO THE MULTISOLITON LIMIT

1995 ◽  
Vol 09 (18n19) ◽  
pp. 2321-2362 ◽  
Author(s):  
I. MUŠEVIČ ◽  
B. ŽEKŠ ◽  
R. BLINC ◽  
TH. RASING
Keyword(s):  
Plane Wave ◽  
Domain Walls ◽  
Soft Mode ◽  
Dynamic Properties ◽  
Band Gaps ◽  
Collective Excitations ◽  
Ferroelectric Liquid Crystals ◽  
One Dimensional ◽  
Photonic Band ◽  
Reentrant Phases

In the presence of external fields or in restricted geometries, the originally continuous helical symmetry of the Sm C* phase is broken by the appearence of field- or geometry-induced soliton-like domain walls. As a result of this symmetry breaking, a crossover between the plane-wave-like and soliton-like regime occurs in both static and dynamic properties which is responsible for some remarkable phenomena such as field-induced optical biaxiality or a field-induced band structure of collective excitations. Whereas we find in the plane-wave-like regime a degenerate soft mode which splits below the Sm A→Sm C* transition into a symmetry recovering Goldstone-phason-mode and an amplitudon mode, we find in the soliton regime a splitting of the phason mode into acoustic and optic-like branches separated by a band gap. Within the same framework we also discuss other remarkable and extraordinary properties such as reentrant phases, Lifshitz points, one dimensional photonic band gaps and thickness dependent phase diagrams.

One-dimensional tunable photonic crystals with spin crossover material for the terahertz range

2006 ◽  
Vol 89 (17) ◽  
pp. 174105 ◽  
Author(s):  
P. Mounaix ◽  
E. Freysz ◽  
J. Degert ◽  
N. Daro ◽  
J.-F. Létard ◽  
...  
Keyword(s):  
Photonic Crystals ◽  
Spin Crossover ◽  
Terahertz Range ◽  
One Dimensional

scholarly journals Static and Dynamic Properties of a Few Spin 1/2 Interacting Fermions Trapped in a Harmonic Potential

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1196
Author(s):  
Abel Rojo-Francàs ◽  
Artur Polls ◽  
Bruno Juliá-Díaz
Keyword(s):  
Sum Rules ◽  
Dynamic Properties ◽  
Interaction Strength ◽  
Dynamical Structure ◽  
Static Properties ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
One Dimensional ◽  
State Densities ◽  
Analytical Expressions

We provide a detailed study of the properties of a few interacting spin 1 / 2 fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical results obtained by means of direct diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime. The N = 2 case is used to benchmark our numerical techniques with the known exact solution of the problem. After a detailed description of the numerical methods, in a tutorial-like manner, we present the static properties of the system for N = 2 , 3 , 4 and 5 particles, e.g., low-energy spectrum, one-body density matrix, ground-state densities. Then, we consider dynamical properties of the system exploring first the excitation of the breathing mode, using the dynamical structure function and corresponding sum-rules, and then a sudden quench of the interaction strength.

scholarly journals Publisher's Note: Static and dynamic properties of low-temperature order in the one-dimensional semiconductor (NbSe4)3I [Phys. Rev. B 94 , 104113 (2016)]

2016 ◽  
Vol 94 (17) ◽  
Author(s):  
D. Dominko ◽  
S. Vdović ◽  
H. Skenderović ◽  
D. Starešinić ◽  
K. Biljaković ◽  
...  
Keyword(s):  
Low Temperature ◽  
Dynamic Properties ◽  
One Dimensional ◽  
The One
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