Correlated Brownian motion and diffusion of defects in spatially extended chaotic systems

2019 ◽  
Vol 29 (7) ◽  
pp. 071104 ◽  
Author(s):  
S. T. da Silva ◽  
T. L. Prado ◽  
S. R. Lopes ◽  
R. L. Viana
Keyword(s):  
Brownian Motion ◽  
Chaotic Systems ◽  
Spatially Extended ◽  
And Diffusion

A New Image Encryption Scheme Using Dual Chaotic Map Synchronization

2020 ◽  
Vol 18 (1) ◽  
Keyword(s):  
Image Encryption ◽  
Chaotic Systems ◽  
Initial Conditions ◽  
Chaotic Map ◽  
Security Applications ◽  
The Common ◽  
And Diffusion ◽  
Confusion And Diffusion ◽  
Sensitivity To Initial Conditions ◽  
Diffusion Properties

Chaotic systems behavior attracts many researchers in the field of image encryption. The major advantage of using chaos as the basis for developing a crypto-system is due to its sensitivity to initial conditions and parameter tunning as well as the random-like behavior which resembles the main ingredients of a good cipher namely the confusion and diffusion properties. In this article, we present a new scheme based on the synchronization of dual chaotic systems namely Lorenz and Chen chaotic systems and prove that those chaotic maps can be completely synchronized with other under suitable conditions and specific parameters that make a new addition to the chaotic based encryption systems. This addition provides a master-slave configuration that is utilized to construct the proposed dual synchronized chaos-based cipher scheme. The common security analyses are performed to validate the effectiveness of the proposed scheme. Based on all experiments and analyses, we can conclude that this scheme is secure, efficient, robust, reliable, and can be directly applied successfully for many practical security applications in insecure network channels such as the Internet

A perfect probe: Resonance of underdamped scaled Brownian motion

2021 ◽  
Author(s):  
Yuhui Luo ◽  
Chunhua Zeng ◽  
Baowen Li
Keyword(s):  
Brownian Motion ◽  
Single Particle ◽  
Brownian Particle ◽  
Bistable System ◽  
Velocity Autocorrelation Function ◽  
Interacting Particles ◽  
Velocity Autocorrelation ◽  
Spectrum Density ◽  
Coupling Strengths ◽  
And Diffusion

Abstract We numerically investigate the resonance of the underdamped scaled Brownian motion in a bistable system for both cases of a single particle and interacting particles. Through the velocity autocorrelation function (VACF) and mean squared displacement (MSD) of a single particle, we find that for the steady state, diffusions are ballistic at short times and then become normal for most of parameter regimes. However, for certain parameter regimes, both VACF and MSD suggest that the transition between superdiffusion and subdiffusion takes place at intermediate times, and diffusion becomes normal at long times. Via the power spectrum density corresponding to the transitions, we find that there exists a nontrivial resonance. For interacting particles, we find that the interaction between the probe particle and other particles can lead to the resonance, too. Thus we theoretically propose the system with the Brownian particle as a probe, which can detect the temperature of the system and identify the number of the particles or the types of different coupling strengths in the system. The probe is potentially useful for detecting microscopic and nanometer-scale particles and for identifying cancer cells or healthy ones.

scholarly journals Significance of Brownian Motion for Nanoparticle and Virus Capture in Nanocellulose-Based Filter Paper

Membranes ◽  
2018 ◽  
Vol 8 (4) ◽  
pp. 90 ◽  
Author(s):  
Olof Gustafsson ◽  
Simon Gustafsson ◽  
Levon Manukyan ◽  
Albert Mihranyan
Keyword(s):  
Brownian Motion ◽  
Filter Paper ◽  
Hydrodynamic Theory ◽  
Local Flow ◽  
Linear Flow ◽  
Virus Removal ◽  
And Diffusion ◽  
Poiseuille Equation ◽  
Linear Flow Velocity ◽  
Flow Velocities

Pressure-dependent breakthrough of nanobioparticles in filtration was observed and it was related to depend on both convective forces due to flow and diffusion as a result of Brownian motion. The aim of this work was to investigate the significance of Brownian motion on nanoparticle and virus capture in a nanocellulose-based virus removal filter paper through theoretical modeling and filtration experiments. Local flow velocities in the pores of the filter paper were modeled through two different approaches (i.e., with the Hagen–Poiseuille equation) and by evaluating the superficial linear flow velocity through the filter. Simulations by solving the Langevin equation for 5 nm gold particles and 28 nm ΦX174 bacteriophages showed that hydrodynamic constraint is favored for larger particles. Filtration of gold nanoparticles showed no difference in retention for the investigated fluxes, as predicted by the modeling of local flow velocities. Filtration of ΦX174 bacteriophages exhibited a higher retention at higher filtration pressure, which was predicted to some extent by the Hagen–Poiseuille equation but not by evaluation of the superficial linear velocity. In all, the hydrodynamic theory was shown able to explain some of the observations during filtration.

Dynamic scaling of bred vectors in spatially extended chaotic systems

2006 ◽  
Vol 76 (5) ◽  
pp. 767-773 ◽  
Author(s):  
C Primo ◽  
I. G Szendro ◽  
M. A Rodríguez ◽  
J. M López
Keyword(s):  
Chaotic Systems ◽  
Dynamic Scaling ◽  
Spatially Extended ◽  
Bred Vectors

scholarly journals Quantum Brownian motion with inhomogeneous damping and diffusion

2015 ◽  
Vol 91 (3) ◽  
Author(s):  
Pietro Massignan ◽  
Aniello Lampo ◽  
Jan Wehr ◽  
Maciej Lewenstein
Keyword(s):  
Brownian Motion ◽  
Quantum Brownian Motion ◽  
And Diffusion
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