Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Scaling01:26

Scaling

671
In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
671
The de Broglie Wavelength02:32

The de Broglie Wavelength

34.8K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
34.8K
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

1.1K
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
1.1K
Non-uniform Circular Motion01:22

Non-uniform Circular Motion

10.2K
In uniform circular motion, the particle executing circular motion has a constant speed, and the circle is at a fixed radius. However, not all circular motion occurs at a constant speed. A particle can travel in a circle and speed up or slow down, showing an acceleration in the direction of motion. In that case, the motion is called non-uniform circular motion, and an additional acceleration is introduced, which is in the direction tangential to the circle. 
For example, such...
10.2K
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

1.0K
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
1.0K
Distribution of Molecular Speeds01:27

Distribution of Molecular Speeds

6.0K
The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
6.0K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Reversal of tracer advection and Hall drift in an interacting chiral fluid.

Physical review. E·2026
Same author

Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking.

Reports on progress in physics. Physical Society (Great Britain)·2026
Same author

Anomalous diffusion and fluctuations in complex systems and networks.

Chaos (Woodbury, N.Y.)·2026
Same author

Fractional Brownian motion with mean-density interaction: A myopic self-avoiding fractional stochastic process.

Physical review. E·2025
Same author

The organization of serotonergic fibers in the Pacific angelshark brain: neuroanatomical and supercomputing analyses.

Frontiers in neuroscience·2025
Same author

Different behaviors of diffusing diffusivity dynamics based on three different definitions of fractional Brownian motion.

Physical review. E·2025
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Related Experiment Video

Updated: Apr 12, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

698

Aging scaled Brownian motion.

Hadiseh Safdari1,2, Aleksei V Chechkin2,3,4, Gholamreza R Jafari1

  • 1Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran 19839, Iran.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 15, 2015
PubMed
Summary
This summary is machine-generated.

Scaled Brownian motion (SBM) models anomalous diffusion. This study reveals rich aging behaviors in confined SBM, showing how aging affects particle movement and convergence of measurements.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

4.3K

Related Experiment Videos

Last Updated: Apr 12, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
06:44

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis

Published on: September 23, 2025

698
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

9.1K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

4.3K

Area of Science:

  • Physics
  • Statistical Mechanics
  • Complex Systems

Background:

  • Scaled Brownian motion (SBM) is a key model for anomalous diffusion in complex and biological systems.
  • It describes nonstationary processes with time-dependent noise strength, deviating from standard Brownian motion.

Purpose of the Study:

  • To investigate the aging properties of Scaled Brownian motion (SBM) for both unconfined and confined scenarios.
  • To analyze the ensemble and time-averaged mean squared displacements across different aging regimes (weak, intermediate, strong).

Main Methods:

  • Derivation of ensemble and time-averaged mean squared displacements for SBM.
  • Analysis of aging behavior in confined SBM, considering sub- and superdiffusive cases.
  • Investigation of the density of first passage times in a semi-infinite domain.

Main Results:

  • A rich variety of aging behaviors were observed in confined SBM, dependent on aging times and diffusion type (sub- or superdiffusive).
  • Aging information in SBM factorizes with lag time, mirroring scale-free continuous time random walk processes.
  • Strong aging leads to convergence between ensemble and time-averaged mean squared displacements, unlike weak aging.

Conclusions:

  • Scaled Brownian motion exhibits distinct aging characteristics, particularly in confined systems, offering insights into complex diffusion dynamics.
  • The study highlights the impact of aging on ergodicity and measurement convergence in SBM.
  • A crossover behavior defined by aging time was identified in the first passage time density for semi-infinite domains.