Related Experiment Video
Updated: Feb 13, 2026
06:14
Separation and Fractionation of Cell Wall and Cell Membrane Proteins from Mycobacterium tuberculosis for Downstream Protein Analysis
Published on: September 26, 2025
691
Fractional Brownian motion with a reflecting wall
Alexander H O Wada1,2, Thomas Vojta1,3
1Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.
Physical Review. E
|March 18, 2018
Summary
Fractional Brownian motion near a reflecting wall exhibits anomalous diffusion. Particle behavior near the wall depends on whether diffusion is superdiffusive (accumulating) or subdiffusive (depleted).
Area of Science:
- Physics
- Statistical Mechanics
- Stochastic Processes
Background:
- Fractional Brownian motion (fBm) models anomalous diffusion with long-time correlations.
- Understanding particle behavior in confined systems is crucial for various applications.
Purpose of the Study:
- To investigate the effects of a reflecting wall on fractional Brownian motion.
- To analyze the probability density function (PDF) and mean-square displacement (MSD) under confinement.
Main Methods:
- Utilizing Monte Carlo simulations to model fBm.
- Analyzing the behavior of the PDF and MSD in the presence of a reflecting boundary.
Main Results:
- The MSD follows the expected anomalous diffusion scaling, MSD ~ t^α.
- A highly non-Gaussian PDF emerges due to confinement, showing a power-law singularity at the wall.
- Superdiffusion (α>1) leads to particle accumulation at the wall, causing PDF divergence.
- Subdiffusion (α<1) results in PDF depletion near the wall.
Conclusions:
- Geometric confinement significantly alters the statistical properties of fBm.
- The findings have implications for systems dominated by rare events and boundary effects.
More Related Videos
Related Concept Videos
02:43Plant Cell Wall
60.6K
The plant cell wall gives plant cells shape, support, and protection. As a cell matures, its cell wall specializes according to the cell type. For example, the parenchyma cells of leaves possess only a thin, primary cell wall.
60.6K
01:07Reflection of Waves
4.7K
When a wave travels from one medium to another, it gets reflected at the boundary of the second medium. A common example of this is when a person yells at a distance from a cliff and hears the echo of their voice. The sound waves (longitudinal waves) traveling in the air are reflected from the bounding cliff. Similarly, flipping one end of a string whose other end is tied to a wall causes a pulse (transverse wave) to travel through the string, which gets reflected upon reaching the wall. In...
4.7K
02:57The Sense of Self: Reflected Self-Appraisal and Social Comparison
56.2K
According to Charles Cooley, we base our image on what we think other people see (Cooley 1902). We imagine how we must appear to others, then react to this speculation. We don certain clothes, prepare our hair in a particular manner, wear makeup, use cologne, and the like—all with the notion that our presentation of ourselves is going to affect how others perceive us. We expect a certain reaction, and, if lucky, we get the one we desire and feel good about it. But more than that, Cooley...
56.2K
01:26Reflective Property of Parabolas
295
A parabola is a basic type of conic section that results from the intersection of a plane with a double-napped cone in a direction parallel to one of the cone's sides. This U-shaped curve has a distinctive reflective property: all incoming rays parallel to its axis of symmetry are directed toward a single point, known as the focus. This property is widely utilized in optical and communication technologies that require precise signal concentration.In analytic geometry, a parabola is defined as...
295
01:22Equation of Motion: General Plane motion
591
In the context of a rigid body's movement within a general plane, it is important to understand that this motion is typically triggered by external forces or couple moments exerted onto it. This principle can be explained through Newton's second law, which stipulates the translational motion of the body's center of mass along each axis.
Moreover, the body's center of mass experiences a rotational effect as a result of these couple moments. This rotation can be articulated as the...
Moreover, the body's center of mass experiences a rotational effect as a result of these couple moments. This rotation can be articulated as the...
591
01:32Subcellular Fractionation
8.9K
The homogenate obtained after cell lysis contains various membrane-bound organelles that can be further separated into pure fractions by subcellular fractionation. These isolates are used to study specific cellular components, analyze localized protein activity, and are even employed in diagnostics. Fractionation is typically achieved using centrifugation methods, the most common being density-gradient and differential centrifugation.
Differential Centrifugation
Differential centrifugation is...
Differential Centrifugation
Differential centrifugation is...
8.9K