Jove
Visualize
Contact Us

Related Concept Videos

Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

143
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
143
Scaling01:26

Scaling

331
In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
331
Second Order systems II01:18

Second Order systems II

178
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
178
Types of Responses of Series RLC Circuits01:11

Types of Responses of Series RLC Circuits

1.0K
A second-order differential equation characterizes a source-free series RLC circuit, marking its distinct mathematical representation. The complete solution of this equation is a blend of two unique solutions, each linked to the circuit's roots expressed in terms of the damping factor and resonant frequency.
1.0K
Dose-Response Relationship: Overview01:03

Dose-Response Relationship: Overview

3.8K
Agonists can bind with and activate receptors, resulting in the formation of drug-receptor complexes. Once formed, these complexes catalyze many biochemical processes at the cellular level and subsequently induce a pharmacologic response. The degree of response is directly proportional to the fraction of activated receptors, which in turn, depends on the concentration of the drug at the receptor site as well as the sensitivity of the receptor. An increase in the administered dose contributes to...
3.8K
Calibration Curves: Linear Least Squares01:20

Calibration Curves: Linear Least Squares

2.4K
A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
For data that follow a straight line, the standard method for fitting is the linear...
2.4K

You might also read

Related Articles

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

Sort by
Same author

Unifying Kibble-Zurek Mechanism in Weakly Driven Processes.

Entropy (Basel, Switzerland)·2026
Same author

Fluctuation theorems for autonomous work.

Proceedings of the National Academy of Sciences of the United States of America·2025
Same author

Endoreversible Stirling Cycles: Plasma Engines at Maximal Power.

Entropy (Basel, Switzerland)·2025
Same author

Simon's Algorithm in the NISQ Cloud.

Entropy (Basel, Switzerland)·2025
Same author

Quantum information scrambling in two-dimensional Bose-Hubbard lattices.

Chaos (Woodbury, N.Y.)·2024
Same author

Pointer States and Quantum Darwinism with Two-Body Interactions.

Entropy (Basel, Switzerland)·2023
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 Experiment Video

Updated: Sep 21, 2025

Author Spotlight: High-Throughput Toxicity Screening Using Zebrafish Embryo Startle Response Assay
06:25

Author Spotlight: High-Throughput Toxicity Screening Using Zebrafish Embryo Startle Response Assay

Published on: January 12, 2024

1.7K

Kibble-Zurek Scaling from Linear Response Theory.

Pierre Nazé1, Marcus V S Bonança1, Sebastian Deffner1,2

  • 1Instituto de Física 'Gleb Wataghin', Universidade Estadual de Campinas, Campinas 13083-859, Brazil.

Entropy (Basel, Switzerland)
|May 28, 2022
PubMed
Summary

This study demonstrates the consistency between linear response theory and the Kibble-Zurek mechanism for describing quantum phase transitions. Linear response theory provides rigorous arguments for identifying the "gap" as a relaxation rate in these transitions.

Keywords:
Kibble–Zurek mechanismlinear response theoryquantum phase transition

More Related Videos

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
07:34

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions

Published on: March 25, 2014

10.0K
Stepwise Dosing Protocol for Increased Throughput in Label-Free Impedance-Based GPCR Assays
06:13

Stepwise Dosing Protocol for Increased Throughput in Label-Free Impedance-Based GPCR Assays

Published on: February 21, 2020

6.7K

Related Experiment Videos

Last Updated: Sep 21, 2025

Author Spotlight: High-Throughput Toxicity Screening Using Zebrafish Embryo Startle Response Assay
06:25

Author Spotlight: High-Throughput Toxicity Screening Using Zebrafish Embryo Startle Response Assay

Published on: January 12, 2024

1.7K
A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions
07:34

A Simple Stimulatory Device for Evoking Point-like Tactile Stimuli: A Searchlight for LFP to Spike Transitions

Published on: March 25, 2014

10.0K
Stepwise Dosing Protocol for Increased Throughput in Label-Free Impedance-Based GPCR Assays
06:13

Stepwise Dosing Protocol for Increased Throughput in Label-Free Impedance-Based GPCR Assays

Published on: February 21, 2020

6.7K

Area of Science:

  • Quantum physics
  • Condensed matter theory

Background:

  • Quantum phase transitions (QPTs) occur at zero temperature, differing from thermodynamic phase transitions.
  • The applicability of classical frameworks to QPTs requires careful examination.
  • The Kibble-Zurek mechanism and linear response theory are established tools for non-equilibrium dynamics.

Purpose of the Study:

  • To investigate the consistency of the Kibble-Zurek mechanism and linear response theory in describing QPTs.
  • To determine if linear response theory can enhance the understanding of the Kibble-Zurek mechanism.
  • To rigorously connect relaxation time in linear response theory to QPT dynamics.

Main Methods:

  • Comparative analysis of Kibble-Zurek mechanism and linear response theory predictions.
  • Derivation of relaxation time from linear response theory.
  • Verification of Kibble-Zurek scaling for excess work using linear response theory.

Main Results:

  • The Kibble-Zurek mechanism and linear response theory provide consistent descriptions of quantum phase transitions.
  • Linear response theory offers a rigorous basis for identifying the "gap" as a relaxation rate.
  • Excess work calculated via linear response theory exhibits Kibble-Zurek scaling.

Conclusions:

  • Linear response theory and the Kibble-Zurek mechanism are reconcilable frameworks for studying quantum phase transitions.
  • The findings provide deeper insights into the non-equilibrium dynamics of QPTs.
  • This work validates the use of linear response theory to inform Kibble-Zurek arguments.