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

The Evidence for Evolution02:55

The Evidence for Evolution

48.1K
Genetic variations accumulating within populations over generations give rise to biological evolution. Evolutionary changes can result in the formation of novel varieties and entire new species. These changes are responsible for the diverse forms of life inhabiting the planet. The evidence for evolution suggests that all living organisms descended from common ancestors.
48.1K
Nonlinear Pharmacokinetics: Causes of Nonlinearity01:22

Nonlinear Pharmacokinetics: Causes of Nonlinearity

725
Nonlinearity in drug pharmacokinetics is caused by various factors influencing how a drug is absorbed, distributed, metabolized, and excreted. Understanding these nonlinear processes is crucial for predicting drug behavior in the body and optimizing drug dosing regimens.
Nonlinear drug absorption can occur when the process is rate-limited by solubility, carrier-mediated transport systems, or saturation of the presystemic gut wall or hepatic metabolism. For instance, high doses of riboflavin...
725
Elasticity01:12

Elasticity

4.9K
Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
4.9K
Application of Nonlinear Inequalities01:29

Application of Nonlinear Inequalities

250
A nonlinear inequality describes a comparison involving an expression that curves or behaves more complexly than a straight line. These inequalities often appear in forms that include squares, products, or variables in the denominator.To solve such an inequality, one starts by rewriting it so that zero appears on one side. For example, the inequality:  can be factored as: This form makes it easier to identify the values that cause the expression to equal zero. In this case, the...
250
Introduction to Nonlinear Inequalities01:25

Introduction to Nonlinear Inequalities

223
Linear and nonlinear inequalities are fundamental for analyzing variable relationships and identifying ranges satisfying specific conditions. A linear inequality involves variables raised only to the first power, resulting in a straight-line graph. This line partitions the coordinate plane into two distinct regions: one that satisfies the inequality and one that does not. Each region represents a set of solutions where the linear relationship holds true under the specified constraint.Nonlinear...
223
Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model01:13

Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model

315
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
315

You might also read

Related Articles

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

Sort by
Same author

Open-system force-elongation relationship of collagen in chemo-mechanical equilibrium with water.

Journal of the mechanical behavior of biomedical materials·2024
Same author

Realizing acoustic qubit analogues with nonlinearly tunable phi-bits in externally driven coupled acoustic waveguides.

Scientific reports·2023
Same author

Exponentially Complex "Classically Entangled" States in Arrays of One-Dimensional Nonlinear Elastic Waveguides.

Materials (Basel, Switzerland)·2019
Same author

Giant frequency down-conversion of the dancing acoustic bubble.

Scientific reports·2016
Same author

Effect of sound on gap-junction-based intercellular signaling: Calcium waves under acoustic irradiation.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Measurement of the charge asymmetry in top quark pair production in <i>pp</i> collisions at [Formula: see text] using the ATLAS detector.

The European physical journal. C, Particles and fields·2015

Related Experiment Video

Updated: Jan 31, 2026

Reverse Dissection and DiceCT Reveal Otherwise Hidden Data in the Evolution of the Primate Face
08:15

Reverse Dissection and DiceCT Reveal Otherwise Hidden Data in the Evolution of the Primate Face

Published on: January 7, 2019

7.3K

Evidence for hidden order in a nonlinear model elastic system.

P A Deymier1, K Runge

  • 1Department of Materials Science and Engineering, 1235 E. James E Rogers Way, University of Arizona, Tucson, AZ 85721, United States of America.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|January 10, 2019
PubMed
Summary

Hidden order, previously seen in quantum systems, emerges in a classical mechanical model. This phenomenon, characterized by a string order parameter, reveals long-range correlations in locally disordered systems.

More Related Videos

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

1.2K
Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

3.1K

Related Experiment Videos

Last Updated: Jan 31, 2026

Reverse Dissection and DiceCT Reveal Otherwise Hidden Data in the Evolution of the Primate Face
08:15

Reverse Dissection and DiceCT Reveal Otherwise Hidden Data in the Evolution of the Primate Face

Published on: January 7, 2019

7.3K
The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton
08:50

The Mechanics of Poro-Elastic Contractile Actomyosin Networks As a Model System of the Cell Cytoskeleton

Published on: March 10, 2023

1.2K
Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging
05:45

Uncovering Hidden Dynamics of Natural Photonic Structures Using Holographic Imaging

Published on: March 31, 2022

3.1K

Area of Science:

  • Physics
  • Condensed Matter Physics
  • Non-linear Dynamics

Background:

  • Hidden order is a complex phenomenon observed in strongly correlated systems, often linked to topological order in quantum mechanics.
  • Local order parameters may not fully capture the emergent properties of certain physical systems.

Purpose of the Study:

  • To demonstrate the emergence of hidden order in a classical, 1D non-linear mechanical system.
  • To investigate the role of a biquadratic term in inducing hidden order and distinct phases.

Main Methods:

  • Development of a 1D non-linear classical mechanical model with rotational degrees of freedom.
  • Introduction of a biquadratic term in the potential energy to create a bistable system.
  • Analysis of system phases using Néel and string order parameters.

Main Results:

  • Four distinct phases were identified by varying the biquadratic term strength, with three being locally disordered.
  • A string order parameter revealed correlations with significantly longer range than the Néel order parameter.
  • The hidden order correlation length diverged with a critical exponent of ~0.5 as kinetic energy decreased.

Conclusions:

  • Hidden order can emerge in classical mechanical systems, not just quantum ones.
  • Instability and non-linearity are critical factors in generating non-local, long-range correlations in apparently disordered systems.