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

Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

1.5K
The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
1.5K
Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

6.0K
Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
6.0K
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

1.6K
The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
1.6K
Constraints and Statical Determinacy01:26

Constraints and Statical Determinacy

852
In structural engineering, the equilibrium of a system is not only determined by its equations of equilibrium but also with the help of constraints. Constraints refer to restrictions on the motion of a system. The proper combinations of constraints can minimize the total number of constraints needed to maintain a system in mechanical equilibrium. When this happens, the system is said to be statically determinate. For such systems, the unknown reaction supports can be estimated using equilibrium...
852
The Squeeze Theorem01:30

The Squeeze Theorem

75
Certain mathematical functions exhibit unpredictable or highly variable behavior near specific input values, making direct evaluation of their limits challenging. This complexity may arise from rapid oscillations or irregular patterns that obscure the function’s trend. In such cases, the Squeeze Theorem offers a reliable method for determining limits.According to the Squeeze Theorem, if a function is confined between two other functions near a particular point, and both outer functions...
75
Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

1.2K
Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...
1.2K

You might also read

Related Articles

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

Sort by
Same author

Heptametallic high‑entropy nanozyme‑based biosensors for detecting bacterial pathogens in food and infected wound.

Mikrochimica acta·2026
Same author

Immortalized smooth muscle cells enhance in vitro vasculogenesis.

Research square·2026
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

Immortalized smooth muscle cells enhance in vitro vasculogenesis.

bioRxiv : the preprint server for biology·2026
Same author

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

Biophysical journal·2026
Same author

The Pt-Al Cooperative Effect Improves the Wettability of Sn-Zn Solder via Oxide Film Structure Optimization and Solid-Liquid Interfacial Tension Reduction.

ACS applied materials & interfaces·2026
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Nov 29, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.3K

Extreme value theory for constrained physical systems.

Marc Höll1, Wanli Wang1, Eli Barkai1

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

Physical Review. E
|November 20, 2020
PubMed
Summary
This summary is machine-generated.

This study reveals exact links between extreme value theory and stochastic dynamics in conserved physical systems. It uncovers dual scaling laws for typical and rare events, extending beyond classical theories.

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

8.8K
Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
10:23

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics

Published on: December 1, 2023

756

Related Experiment Videos

Last Updated: Nov 29, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.3K
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

8.8K
Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
10:23

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics

Published on: December 1, 2023

756

Area of Science:

  • Statistical Physics
  • Complex Systems
  • Probability Theory

Background:

  • Extreme value theory (EVT) traditionally describes the behavior of extreme events.
  • Physical systems with global conservation laws exhibit unique statistical properties, including nonanalytical points in extreme value distributions.
  • Classical EVT often assumes independence and identical distribution, which may not hold for these systems.

Purpose of the Study:

  • To establish exact relationships between constrained extreme value theory and the underlying stochastic dynamics of physical systems with global conservation laws.
  • To extend the applicability of EVT beyond the midpoint of the support and far from the thermodynamic limit.
  • To describe both typical and rare events in the thermodynamic limit, highlighting deviations from classical EVT.

Main Methods:

  • Investigation of physical systems governed by a global conservation law, including renewal processes, mass transport models, and long-range interacting spin models.
  • Application of constrained extreme value theory to analyze the distribution of extreme values.
  • Derivation of exact relationships between EVT quantities and underlying stochastic dynamics.
  • Analysis of behavior in the thermodynamic limit and identification of dual scaling laws.

Main Results:

  • Exact relationships were exposed between constrained extreme value theory and quantities of the underlying stochastic dynamics, valid beyond the midpoint and far from the thermodynamic limit.
  • For renewal processes, the distribution of the maximum time between events was shown to be exactly related to the mean number of events.
  • In the thermodynamic limit, dual scaling of the extreme value distribution was revealed, distinguishing between normalizable scaling functions for typical statistics and non-normalized states for rare events.

Conclusions:

  • The developed theory provides a framework for understanding extreme values in physical systems with global conservation laws, extending beyond classical EVT.
  • The findings highlight the importance of considering system-specific dynamics when applying EVT, particularly for systems with conserved quantities.
  • The identification of dual scaling laws offers new insights into the statistical behavior of both typical and rare extreme events in these complex systems.