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

Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

1.5K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
1.5K
Non-conservative Forces01:17

Non-conservative Forces

7.9K
Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from a system as it progresses. Unlike conservative forces, non-conservative forces do not have potential energy associated with them. This is because the energy is lost to the system and cannot be turned into useful work later.
Also unlike their conservative counterparts, they are path-dependent; where the object starts and stops does matter. For example, a grinding wheel applies a...
7.9K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.2K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.2K
Two-Dimensional Force System01:20

Two-Dimensional Force System

916
A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved into its components as:
916
Wald-Wolfowitz Runs Test II01:17

Wald-Wolfowitz Runs Test II

246
The Wald-Wolfowitz runs test, commonly referred to as the runs test, is a nonparametric test used to assess the randomness of ordered data. The test evaluates the number of runs, which are consecutive sequences of similar elements within the data. If the number of runs is significantly higher or lower than expected, the data is considered non-random, indicating a detectable pattern or structure.
For binary data, runs are identified using symbols such as + and −, or equivalently, 1s and...
246
Entropy and Solvation02:05

Entropy and Solvation

7.1K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
7.1K

You might also read

Related Articles

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

Sort by
Same author

Fractionally quantized recurrence detection times in monitored quantum many-body systems.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

Telomeres in Lamin-A-depleted cells exhibit directed motion and dynamic coherence.

Biophysical journal·2026
Same author

Tunable Anomalous Diffusion in Subrecoil-Laser-Cooled Atoms.

Physical review letters·2026
Same author

Noise-induced transitions in random Pomeau-Manneville maps.

Chaos (Woodbury, N.Y.)·2025
Same author

Resonances of recurrence time of monitored quantum walks.

The Journal of chemical physics·2025
Same author

First Passage Times in Compact Domains Exhibit Biscaling.

Physical review letters·2025

Related Experiment Video

Updated: Jul 10, 2025

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.8K

Statistics of long-range force fields in random environments: Beyond Holtsmark.

Avraham Samama1, Eli Barkai1

  • 1Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel.

Physical Review. E
|November 18, 2023
PubMed
Summary

This study introduces a new statistical law for large fields, complementing Lévy distributions. It addresses nonphysical diverging variances in random environments by considering finite particle sizes, revealing a biscaling phenomenon.

More Related Videos

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

2.3K
Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K

Related Experiment Videos

Last Updated: Jul 10, 2025

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.8K
Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches
07:31

Author Spotlight: Advancing Cell Membrane Biophysics - Exploring Interactions and Challenges Through Experimental and Computational Approaches

Published on: September 1, 2023

2.3K
Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.2K

Area of Science:

  • Statistical Physics
  • Astrophysics
  • Active Matter

Background:

  • Statistical properties of fields in random environments are crucial in various scientific domains.
  • Traditional models using power-law interactions (1/|r|^δ) lead to fat-tailed distributions (Lévy distributions) and nonphysical diverging variances due to finite size effects.

Purpose of the Study:

  • To develop a complementary statistical law to the Lévy-Holtsmark distribution for describing large fields.
  • To address the nonphysical diverging variance issue in existing models by incorporating finite tracer particle size.
  • To identify and characterize a novel statistical transition in force moments.

Main Methods:

  • Analysis of statistical properties of fields in random environments with power-law interactions.
  • Investigation of the impact of finite tracer particle size on field statistics.
  • Derivation of a new scaling law and identification of biscaling behavior in force moments.

Main Results:

  • A new statistical law is discovered, complementing the Lévy-Holtsmark distribution for large fields.
  • Biscaling is identified, featuring a sharp statistical transition in force moments at order d/δ (d=dimension).
  • High-order moments, including variance, are accurately described by the new framework, resolving nonphysical divergences.

Conclusions:

  • The study presents a novel, nonnormalized scaling solution for field statistics in random environments.
  • This new framework is expected to be applicable to a wide range of physical systems exhibiting similar interaction properties.
  • The findings offer a more physically realistic statistical description for systems with finite size effects.