Related Experiment Video
Updated: Aug 27, 2025
09:23
Harmonic Nanoparticles for Regenerative Research
Published on: May 1, 2014
11.8K
Correction: Direction reversing active Brownian particle in a harmonic potential.
Ion Santra1, Urna Basu1,2, Sanjib Sabhapandit1
1Raman Research Institute, Bengaluru 560080, India.
Soft Matter
|September 23, 2022
Summary
This correction clarifies the behavior of active Brownian particles in harmonic potentials. It refines understanding of direction-reversing dynamics for these fundamental systems.
Area of Science:
- Physics
- Soft Matter Physics
- Statistical Mechanics
Context:
- Active Brownian particles (ABPs) are model systems exhibiting self-propulsion.
- Understanding ABP behavior in confining potentials is crucial for soft matter science.
- Previous work by Santra et al. explored ABPs in harmonic potentials.
Purpose:
- To correct and refine the findings presented in the original publication.
- To ensure accurate representation of the active Brownian particle dynamics.
- To provide a corrected analysis of direction-reversing phenomena.
Summary:
- The correction addresses specific details regarding the dynamics of direction-reversing active Brownian particles.
- It refines the mathematical description and interpretation of particle trajectories within a harmonic potential.
- The updated analysis ensures greater precision in modeling these active systems.
Impact:
- Ensures the reliability of future research citing the original work.
- Contributes to a more accurate theoretical understanding of active matter.
- Provides a corrected foundation for studying self-propelled particle behavior in confined environments.
Related Concept Videos
01:16Perpendicular-Axis Theorem
3.4K
The perpendicular-axis theorem states that the moment of inertia of a planar object about an axis perpendicular to its plane is equal to the sum of the moments of inertia about two mutually perpendicular concurrent axes lying in the plane of the body.
Consider a circular disc of mass M and radius R lying along an x-y plane. The origin lies at the center of the disc, and the z-axis is perpendicular to the disc's plane. All three axes coincide at the disc's center. The moment of inertia of this...
Consider a circular disc of mass M and radius R lying along an x-y plane. The origin lies at the center of the disc, and the z-axis is perpendicular to the disc's plane. All three axes coincide at the disc's center. The moment of inertia of this...
3.4K
01:22Motion Of A Charged Particle In A Magnetic Field
5.1K
A charged particle experiences a force when moving through a magnetic field. Consider the field to be uniform and the charged particle to move perpendicular to it. If the field is in a vacuum, the magnetic field is the dominant factor determining the motion. Since the magnetic force is perpendicular to the direction of motion, a charged particle follows a curved path. The particle continues to follow this curved path until it forms a complete circle. Another way to look at this is that the...
5.1K
01:29Potential Due to a Polarized Object
460
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
460
01:23Atomic Nuclei: Nuclear Relaxation Processes
709
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
709
01:28Induced Electric Dipoles
4.3K
A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
4.3K
01:27Curvilinear Motion: Polar Coordinates
465
In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
The particle's location is described using a unit vector along the radial direction. Deriving the particle's position...
465