Jove
Visualize
Contact Us

Related Concept Videos

Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

2.8K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.8K
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

81
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
81
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.5K
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.
2.5K
Euler Equations of Motion01:19

Euler Equations of Motion

214
Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...
214
Mean free path and Mean free time01:22

Mean free path and Mean free time

3.6K
Consider the gas molecules in a cylinder. They move in a random motion as they collide with each other and change speed and direction. The average of all the path lengths between collisions is known as the "mean free path."
3.6K
Noncompartmental Analysis: Statistical Moment Theory00:56

Noncompartmental Analysis: Statistical Moment Theory

104
Noncompartmental analyses leverage statistical moment theory to examine time-related changes in macroscopic events, encapsulating the collective outcomes stemming from the constituent elements in play. Statistical moment theory is a mathematical approach used to describe the time course of drug concentration in the body without assuming a specific compartmental model. SMT provides insights into drug absorption, distribution, metabolism, and elimination by treating drug concentration versus time...
104

You might also read

Related Articles

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

Sort by
Same author

Small matrix path integral propagation for long-time quantum dynamics of multistate systems in one and two dimensions.

The Journal of chemical physics·2026
Same author

Frustration Protection of Exciton-Vibration Thermodynamics and Transfer.

The journal of physical chemistry letters·2025
Same author

Small matrix path integral in imaginary time.

The Journal of chemical physics·2025
Same author

Quantum dynamics of dissipative two-level systems and intradimer excitation energy transfer in the presence of static disorder.

The Journal of chemical physics·2025
Same author

Discrete Generalized Quantum Master Equations.

Journal of chemical theory and computation·2025
Same author

Coherence in Chemistry: Foundations and Frontiers.

Chemical reviews·2024
Same journal

Predicting Nirmatrelvir Resistance in SARS-CoV-2 M<sup>pro</sup> Mutants with an Integrated Computational Framework.

The journal of physical chemistry. B·2026
Same journal

From Cation Solvation to Anion Coordination: Lewis-Acidic Boranes Enable Halide Salt Electrolytes.

The journal of physical chemistry. B·2026
Same journal

In Vitro-Prepared A30P Alpha-Synuclein Fibrils Adopt the Conserved and Disease-Relevant Greek Key Fold.

The journal of physical chemistry. B·2026
Same journal

Metastructure Analysis of Self-Assembled Nanocubes with Different Equatorial Methyl Groups Based on Molecular Dynamics Simulations.

The journal of physical chemistry. B·2026
Same journal

A Cocoordinated <sup>1</sup>H Internal Reference Quantifies Proton-Exchange Bias in Coordinated-Water Diffusion.

The journal of physical chemistry. B·2026
Same journal

Unveiling Electrolyte-Dependent Coordination Site Dynamics for Redox Mediator Design in Lithium-O<sub>2</sub> Batteries: Exchange vs Rearrangement.

The journal of physical chemistry. B·2026
See all related articles
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: Jul 1, 2025

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.6K

Kink Sum for Long-Memory Small Matrix Path Integral Dynamics.

Nancy Makri1

  • 1Departments of Chemistry and Physics, University of Illinois, 505 S. Mathews Avenue, Urbana, Illinois 61801, United States.

The Journal of Physical Chemistry. B
|March 4, 2024
PubMed
Summary
This summary is machine-generated.

The small matrix decomposition of the real-time path integral (SMatPI) method efficiently propagates the reduced density matrix for quantum systems. This study introduces a novel path sum evaluation technique, significantly enhancing computational efficiency for complex system-bath interactions.

More Related Videos

In Situ Mapping of the Mechanical Properties of Biofilms by Particle-tracking Microrheology
12:58

In Situ Mapping of the Mechanical Properties of Biofilms by Particle-tracking Microrheology

Published on: December 4, 2015

9.7K
Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology
11:11

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Published on: June 10, 2014

11.5K

Related Experiment Videos

Last Updated: Jul 1, 2025

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.6K
In Situ Mapping of the Mechanical Properties of Biofilms by Particle-tracking Microrheology
12:58

In Situ Mapping of the Mechanical Properties of Biofilms by Particle-tracking Microrheology

Published on: December 4, 2015

9.7K
Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology
11:11

Longitudinal Measurement of Extracellular Matrix Rigidity in 3D Tumor Models Using Particle-tracking Microrheology

Published on: June 10, 2014

11.5K

Area of Science:

  • Quantum Chemistry
  • Computational Physics
  • Chemical Dynamics

Background:

  • Accurate simulation of quantum systems interacting with their environment is crucial.
  • The reduced density matrix (RDM) describes open quantum systems.
  • Existing methods face challenges with strong system-bath coupling and long memory times.

Purpose of the Study:

  • To enhance the efficiency of the small matrix decomposition of the real-time path integral (SMatPI) method.
  • To extend the applicability of SMatPI to challenging regimes of quantum dynamics.
  • To develop a more efficient path sum evaluation for SMatPI.

Main Methods:

  • Utilized the small matrix decomposition of the real-time path integral (SMatPI) algorithm.
  • Developed a novel path sum evaluation by binning paths based on amplitude and 'kinks'.
  • Focused on forward-time path evaluation to construct SMatPI matrices.

Main Results:

  • Achieved a dramatic acceleration of path sum calculations.
  • Significantly extended the accessible memory length in challenging regimes.
  • Demonstrated the efficiency of the SMatPI method for multistate systems.

Conclusions:

  • The new path sum evaluation method greatly improves SMatPI efficiency.
  • This advancement makes complex quantum system-bath dynamics more computationally accessible.
  • The SMatPI method, with this enhancement, is a powerful tool for quantum dynamics simulations.