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

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mechanistic Models: Overview of Compartment Models01:21

Mechanistic Models: Overview of Compartment Models

Mechanistic models, a category encompassing both physiological and compartmental modeling, differ from empirical models' approaches to incorporating known factors about the systems being modeled. Empirical models describe data with minimal assumptions, while mechanistic models aim to provide a robust description of available data by specifying assumptions and integrating known factors about the system. Compartmental analysis is a key example of a mechanistic model in pharmacokinetics and...
Cyclic Processes And Isolated Systems01:19

Cyclic Processes And Isolated Systems

A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state. 
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...
Modeling with Differential Equations01:25

Modeling with Differential Equations

Population dynamics can be described mathematically by considering the population size P(t) as a function of time. The rate of change of the population is then represented by the derivative of P(t). A simple assumption is that the rate of growth is proportional to the size of the population itself. This leads to an exponential growth model, where the population increases rapidly without bound. While this is a useful first approximation, it does not reflect realistic long-term...

You might also read

Related Articles

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

Sort by
Same author

Critical behavior in a chiral molecular model.

The Journal of chemical physics·2023
Same author

Realizability of iso-g<sub>2</sub> processes via effective pair interactions.

The Journal of chemical physics·2022
Same author

Crystal Prediction via Genetic Algorithms in a Model Chiral System.

The journal of physical chemistry. B·2022
Same author

Fluid-fluid phase transitions in a chiral molecular model.

The Journal of chemical physics·2022
Same author

Interconversion-controlled liquid-liquid phase separation in a molecular chiral model.

The Journal of chemical physics·2021
Same author

Effect of configuration-dependent multi-body forces on interconversion kinetics of a chiral tetramer model.

The Journal of chemical physics·2021

Related Experiment Video

Updated: May 30, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

Modeling collective escape processes for nearly jammed systems.

Frank H Stillinger1

  • 1Chemistry Department, Princeton University, Princeton, New Jersey 08544, USA.

The Journal of Physical Chemistry. B
|August 3, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a kinetic model for cooperative relaxation in condensed matter. The model shows how disk escape rates depend on system size and boundary conditions, offering insights into collective dynamics.

More Related Videos

Operation of the Collaborative Composite Manufacturing (CCM) System
10:09

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Related Experiment Videos

Last Updated: May 30, 2026

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling
06:55

Kinematic History of a Salient-recess Junction Explored through a Combined Approach of Field Data and Analog Sandbox Modeling

Published on: August 5, 2016

Operation of the Collaborative Composite Manufacturing (CCM) System
10:09

Operation of the Collaborative Composite Manufacturing (CCM) System

Published on: October 1, 2019

Area of Science:

  • Condensed matter physics
  • Statistical mechanics
  • Chemical kinetics

Background:

  • Cooperative relaxation processes are fundamental in condensed matter.
  • Understanding the dynamics of confined systems is crucial.
  • Existing models may not fully capture the interplay of collective motion and escape.

Purpose of the Study:

  • To introduce a simple kinetic model for cooperative relaxation.
  • To investigate the factors influencing escape rates in a confined system.
  • To provide a foundational understanding of collective dynamics.

Main Methods:

  • Development of a kinetic model with 'n' hard disks.
  • Simulation of disks trapped within an impenetrable circular boundary.
  • Application of cell approximations to estimate escape rates.

Main Results:

  • The escape rate is dependent on the number of disks (n).
  • The escape rate is influenced by the boundary circle's radius relative to the escape threshold.
  • The model demonstrates the necessity of collective disk movement for system invasion.

Conclusions:

  • The proposed kinetic model offers a basic framework for studying cooperative relaxation.
  • Collective motion is a key determinant for system escape in confined environments.
  • The findings provide a basis for further theoretical and experimental investigations.