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 Energy00:54

Conservation of Energy

11.7K
The terms 'conserved quantity' and 'conservation law' have specific scientific meanings in physics, which differ from the meanings associated with their everyday use. For example, in everyday usage, water could be conserved by not using it, by using less of it, or by re-using it. However, in scientific terms, a conserved quantity of a system stays constant, changes by a definite amount that is transferred to other systems, and is converted into other forms of that...
11.7K
Continuity Equation01:20

Continuity Equation

1.7K
The total amount of current flowing per unit cross-sectional area is called the current density. Hence, the current passing through a cross-sectional area can be written as the surface integral of the current density.
1.7K
Continuity Equation01:28

Continuity Equation

3.7K
The continuity equation asserts that the mass flow rate must remain constant for a steady flow of an incompressible fluid within a confined system. This principle applies to systems where fluid passes through varying cross-sectional areas, such as nozzles, syringes, and pipes.
The mass flow rate is expressed as:
3.7K
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

1.9K
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.
1.9K
Calculation of First Law Quantities I01:25

Calculation of First Law Quantities I

81
Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...
81
Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

1.7K
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...
1.7K

You might also read

Related Articles

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

Sort by
Same author

Local integrability breaking and exponential localization of leading Lyapunov vectors.

Physical review. E·2025
Same author

Efficient Computation of Cumulant Evolution and Full Counting Statistics: Application to Infinite Temperature Quantum Spin Chains.

Physical review letters·2025
Same author

Exact Nonequilibrium Steady State of XXZ Circuits Boundary Driven with Arbitrary Resets or Fields.

Physical review letters·2025
Same author

Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems.

Physical review letters·2025
Same author

Symmetry Classes of Classical Stochastic Processes.

Journal of statistical physics·2025
Same author

Loss-Induced Quantum Information Jet in an Infinite Temperature Hubbard Chain.

Physical review letters·2024

Related Experiment Video

Updated: Apr 14, 2026

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

Identifying local and quasilocal conserved quantities in integrable systems.

Marcin Mierzejewski1, Peter Prelovšek2,3, Tomaž Prosen2

  • 1Institute of Physics, University of Silesia, 40-007 Katowice, Poland.

Physical Review Letters
|April 25, 2015
PubMed
Summary

Researchers developed a new method to find conserved operators in integrable lattice systems. This technique systematically generates quasilocal conserved quantities, revealing new ones in Heisenberg models and impacting the study of quenched systems.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

12.0K

Related Experiment Videos

Last Updated: Apr 14, 2026

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
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K
Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

12.0K

Area of Science:

  • Condensed Matter Physics
  • Quantum Integrable Systems
  • Statistical Mechanics

Background:

  • Integrable lattice systems possess numerous conserved quantities crucial for understanding their dynamics.
  • Identifying these conserved operators, especially quasilocal ones, is essential but challenging.

Purpose of the Study:

  • To introduce a systematic procedure for counting and identifying all local and quasilocal conserved operators in integrable lattice systems.
  • To explore the properties and abundance of these operators, particularly in Heisenberg models.

Main Methods:

  • Developed a method to generate independent, conserved quasilocal operators based on the time average of local operators.
  • Analyzed operators with support on up to M consecutive sites.
  • Applied the procedure to the anisotropic and isotropic Heisenberg spin-1/2 chains.

Main Results:

  • The method systematically generates all independent conserved quasilocal operators.
  • For the anisotropic Heisenberg chain, the number of operators scales linearly with M.
  • Discovered novel quasilocal conserved quantities across all parity sectors for both anisotropic and isotropic models.

Conclusions:

  • The developed procedure provides a complete set of conserved operators for integrable lattice systems.
  • The existence of abundant quasilocal conserved operators has implications for understanding anomalous relaxation in quenched systems.