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

Entropy02:39

Entropy

30.8K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
30.8K
The Second Law of Thermodynamics01:14

The Second Law of Thermodynamics

5.5K
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
5.5K
Random Error01:04

Random Error

1.5K
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
1.5K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.7K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.7K
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

3.0K
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
3.0K
Entropy within the Cell01:22

Entropy within the Cell

11.3K
A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
11.3K

You might also read

Related Articles

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

Sort by
Same author

Entropy Analysis of Implicit Heat Fluxes in Multi-Temperature Mixtures.

Entropy (Basel, Switzerland)·2024
Same author

Uptake of Neonicotinoid Insecticides by Water-Foraging Honey Bees (Hymenoptera: Apidae) Through Guttation Fluid of Winter Oilseed Rape.

Journal of economic entomology·2015
Same author

About the precipitation of Serum protein by Trypan blue and its Diagnostic Importance.

Zeitschrift fur die gesamte innere Medizin und ihre Grenzgebiete·2010
Same author

Diagnostic serum reactions with colloidal silver solutions.

Zeitschrift fur die gesamte innere Medizin und ihre Grenzgebiete·2010
Same author

Nitric oxide and endothelin after lipid apheresis - a pilot study.

Atherosclerosis. Supplements·2010
Same author

Comparison of PDR brachytherapy and external beam radiation therapy in the case of breast cancer.

Physics in medicine and biology·2009
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Aug 30, 2025

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities
08:08

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities

Published on: May 10, 2017

14.8K

Mixed-Up-Ness or Entropy?

W Seitz1, A D Kirwan2

  • 1Department of Marine Sciences, Texas A&M University at Galveston, Galveston, TX 77553, USA.

Entropy (Basel, Switzerland)
|August 26, 2022
PubMed
Summary
This summary is machine-generated.

The law of mixed-up-ness (LOM) introduces a hierarchy for system states, independent of traditional thermodynamics. This principle, inspired by Josiah Gibbs, offers a new framework for understanding system evolution and organization.

Keywords:
Young Diagram Latticeentropyincomparabilitymajorizationmixed-up-ness

More Related Videos

Dissociation of the Confounding Influences of Expectancy and Integrative Difficulty Residing in Anomalous Sentences in Event-related Potential Studies
05:22

Dissociation of the Confounding Influences of Expectancy and Integrative Difficulty Residing in Anomalous Sentences in Event-related Potential Studies

Published on: May 9, 2019

5.4K
Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
06:40

Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography

Published on: June 15, 2018

10.3K

Related Experiment Videos

Last Updated: Aug 30, 2025

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities
08:08

Using Wavelet Entropy to Demonstrate how Mindfulness Practice Increases Coordination between Irregular Cerebral and Cardiac Activities

Published on: May 10, 2017

14.8K
Dissociation of the Confounding Influences of Expectancy and Integrative Difficulty Residing in Anomalous Sentences in Event-related Potential Studies
05:22

Dissociation of the Confounding Influences of Expectancy and Integrative Difficulty Residing in Anomalous Sentences in Event-related Potential Studies

Published on: May 9, 2019

5.4K
Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography
06:40

Microstate and Omega Complexity Analyses of the Resting-state Electroencephalography

Published on: June 15, 2018

10.3K

Area of Science:

  • Theoretical Physics
  • Information Theory
  • Systems Theory

Background:

  • The concept of 'mixed-up-ness' originates from Josiah Gibbs' unpublished notes.
  • It was later developed independently by various researchers under different terminologies.
  • Mixed-up-ness provides a hierarchical organization for system states based on their degree of disorder.

Purpose of the Study:

  • To explore the concept of mixed-up-ness beyond traditional thermodynamic principles.
  • To establish a formal framework for mixed-up-ness in non-thermodynamic systems.
  • To illustrate the application of mixed-up-ness using integer partitions.

Main Methods:

  • Conceptual analysis of mixed-up-ness independent of thermodynamics and statistical mechanics.
  • Application of mixed-up-ness to the permutation function of integer partitions.
  • Formalization of mixed-up-ness as a fundamental hierarchical principle, the law of mixed-up-ness (LOM).

Main Results:

  • Mixed-up-ness offers a hierarchical organization principle for system states.
  • This principle is distinct from, yet consistent with, entropy in thermodynamic systems.
  • A formalization of the law of mixed-up-ness (LOM) is proposed for non-thermodynamic systems.

Conclusions:

  • The law of mixed-up-ness (LOM) provides a novel hierarchical principle for organizing system states.
  • LOM is applicable to non-thermodynamic systems, extending beyond classical entropy.
  • Mixed-up-ness and entropy are related but not interchangeable concepts in system evolution.