Anomalous transport and diffusion of coupled Brownian particles with periodic driving forces

2021 ◽  
Vol 136 (10) ◽  
Author(s):  
Ying Wang ◽  
Chunhua Zeng ◽  
Bao-Quan Ai
Keyword(s):  
Driving Forces ◽  
Anomalous Transport ◽  
Brownian Particles ◽  
Transport And Diffusion ◽  
And Diffusion

Transport and diffusion of Brownian particles in a tilted deformable potential

2020 ◽  
Vol 541 ◽  
pp. 123284
Author(s):  
M.F. Kepnang Pebeu ◽  
R.L. Woulaché ◽  
C.B. Tabi ◽  
T.C. Kofane
Keyword(s):  
Brownian Particles ◽  
Transport And Diffusion ◽  
And Diffusion

ON GENERATING RANDOM POTENTIALS

2012 ◽  
Vol 11 (04) ◽  
pp. 1250026 ◽  
Author(s):  
M. SUÑÉ SIMON ◽  
J. M. SANCHO ◽  
A. M. LACASTA
Keyword(s):  
Real Space ◽  
Fourier Space ◽  
Random Potentials ◽  
Practical Applications ◽  
Gaussian Potential ◽  
Brownian Particles ◽  
Straightforward Method ◽  
Transport And Diffusion ◽  
Potential Landscape ◽  
And Diffusion

The study of transport and diffusion of Brownian particles in disorder media needs the generation of random potentials with well prescribed statistical properties. Here we present a straightforward method to build a Gaussian potential landscape with an arbitrary spatial correlation with the only requirement of isotropy. The method has the particularity that, although it uses the Fourier space, all its constraints and information are in real space. As practical applications we construct three types of Gaussian disordered correlations: Normal, exponential and power-law. These three cases cover a variety of physical situations.

scholarly journals Weak Disorder: Anomalous Transport and Diffusion Are Normal Yet Again

2011 ◽  
Vol 106 (9) ◽  
Author(s):  
M. Khoury ◽  
A. M. Lacasta ◽  
J. M. Sancho ◽  
Katja Lindenberg
Keyword(s):  
Anomalous Transport ◽  
Weak Disorder ◽  
Transport And Diffusion ◽  
And Diffusion

scholarly journals Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam model

2018 ◽  
Vol 55 ◽  
pp. 225-236 ◽  
Author(s):  
André L.P. Livorati ◽  
Matheus S. Palmero ◽  
Gabriel Díaz-I ◽  
Carl P. Dettmann ◽  
Iberê L. Caldas ◽  
...  
Keyword(s):  
Anomalous Transport ◽  
Transport And Diffusion ◽  
And Diffusion

Shape Potential Effects on Transport and Diffusion Phenomena

2017 ◽  
Vol 16 (02) ◽  
pp. 1750011 ◽  
Author(s):  
A. M. Fopossi Mbemmo ◽  
G. Djuidjé Kenmoé ◽  
T. C. Kofané
Keyword(s):  
Diffusion Coefficient ◽  
Mean Square Displacement ◽  
Critical Force ◽  
Potential Shape ◽  
Brownian Particles ◽  
Normal Diffusion ◽  
Diffusion Phenomena ◽  
Transport And Diffusion ◽  
The Mean ◽  
And Diffusion

We investigate the diffusion of a particle subjected to a non-sinusoidal periodic potential and driven by an external constant force. To study the dynamic of the Brownian particles, we modify the shape of the potential as well as the temperature. This allows us to observe the dependence of the mean square displacement on the shape parameter as well as the diffusion coefficient. For a particular set of the system parameters, the dispersionless transport, normal diffusion and hyperdiffusion are generated in the system. We show that there exists a potential shape where some parameters of the system weakly affect the type of diffusion. The diffusion coefficient reaches its maximum around a critical value of the external field. This pronounced peak of the diffusion coefficient depends on the shape of the potential, so we have evaluated the critical force as a function of the potential features.

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