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 Swing Equation01:21

The Swing Equation

494
The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque...
494
Moment-of-Momentum Equation01:09

Moment-of-Momentum Equation

134
The moment-of-momentum equation is a critical tool for analyzing the torque produced by the rotating blades of a wind turbine. This equation is derived by applying Newton's second law to a fluid particle, which states that the rate of change of linear momentum is equal to the external force acting on the particle.
134
Basic Continuous Time Signals01:22

Basic Continuous Time Signals

239
Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...
239
Principle of Moments01:20

Principle of Moments

1.8K
The principle of moments, also known as Varignon's theorem, is a fundamental concept in physics and engineering that describes the equilibrium of a rigid body under the influence of external forces. The principle states that the moment of a force about a point is equal to the sum of the moments of the components of the force about the same point.
The moment is calculated by multiplying the magnitude of the force by the perpendicular distance from the point of application to the point about...
1.8K
Moment-Area Theorems01:17

Moment-Area Theorems

294
The Moment-Area Theorem is crucial in structural engineering for analyzing beam bending, particularly in applications like building floor supports. This theorem utilizes the geometric properties of the elastic curve, which depicts how a beam deforms under load, to simplify the calculations of deflections and slopes.
The theorem is divided into two parts. The first part connects the angle between tangents at any two points on the beam's elastic curve to the area under a curve derived by...
294
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

730
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
730

You might also read

Related Articles

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

Sort by
Same author

Thermodynamic uncertainty relation for quantum entropy production.

Physical review. E·2024
Same author

Uncertainty relation for symmetric Petz-Rényi relative entropy.

Physical review. E·2024
Same author

Limiting flux in quantum thermodynamics.

Physical review. E·2024
Same author

Quantum relative entropy uncertainty relation.

Physical review. E·2024
Same author

Improving the Cramér-Rao bound with the detailed fluctuation theorem.

Physical review. E·2024
Same author

Thermodynamic variational relation.

Physical review. E·2023

Related Experiment Video

Updated: Jul 23, 2025

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

8.6K

Bound for the moment generating function from the detailed fluctuation theorem.

Domingos S P Salazar1

  • 1Unidade de Educação a Distância e Tecnologia, Universidade Federal Rural de Pernambuco, 52171-900 Recife, Pernambuco, Brazil.

Physical Review. E
|July 19, 2023
PubMed
Summary
This summary is machine-generated.

This study shows that the moment generating function (MGF) for entropy production is lower bounded, providing deeper insights into thermodynamic fluctuations beyond the standard integral fluctuation theorem.

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

9.0K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

7.9K

Related Experiment Videos

Last Updated: Jul 23, 2025

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

8.6K
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

9.0K
Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
06:55

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level

Published on: September 26, 2016

7.9K

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Quantum Information

Background:

  • The detailed fluctuation theorem (FT) leads to the integral FT, which implies the second law of thermodynamics (average entropy production ≥ 0).
  • A complete understanding of entropy production fluctuations requires the moment generating function (MGF).

Purpose of the Study:

  • To derive a lower bound for the MGF of entropy production within the framework of the detailed FT.
  • To explore the implications of this bound for understanding thermodynamic irreversibility.

Main Methods:

  • Derivation of a lower bound for the MGF, G(α), in terms of the mean entropy production, 〈Σ〉.
  • Application of the derived bound to specific physical systems.

Main Results:

  • Established a novel lower bound for the MGF: G(α) ≥ B(α,〈Σ〉).
  • Verified this bound in two distinct physical scenarios: heat exchange between reservoirs and a qubit swap engine.

Conclusions:

  • The derived MGF bound offers a more comprehensive characterization of entropy production fluctuations.
  • This work extends the applicability of fluctuation theorems to more complex quantum systems.