Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Equation of Rotational Dynamics

Equation of Rotational Dynamics

Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...

Kinematic Equations for Rotation

Kinematic Equations for Rotation

In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...

Kinematic Equations - II

Kinematic Equations - II

The second kinematic equation expresses the final position of an object in terms of its initial position, the distance traveled with the initial constant velocity, and the distance traveled due to a change in velocity. Similar to the first kinematic equation, this equation is also only valid when the acceleration is constant throughout the motion of an object.
Suppose a car merges into freeway traffic on a 200 m long ramp. If its initial velocity is 10 m/s and it accelerates at 2 m/s2, then the...

Kinematic Equations - I

Kinematic Equations - I

When an object moves with constant acceleration, the velocity of the object changes at a constant rate throughout the motion. The kinematic equations of motions are derived for such cases where the acceleration of the object is constant. The first kinematic equation gives an insight into the relationship between velocity, acceleration, and time. We can see, for example:

Conservation of Angular Momentum

Conservation of Angular Momentum

A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce internal...

Basic Postulates of Kinetic Molecular Theory: Particle Size, Energy, and Collision

Basic Postulates of Kinetic Molecular Theory: Particle Size, Energy, and Collision

The ideal-gas equation, which is empirical, describes the behavior of gases by establishing relationships between their macroscopic properties. For example, Charles’ law states that volume and temperature are directly related. Gases, therefore, expand when heated at constant pressure. Although gas laws explain how the macroscopic properties change relative to one another, it does not explain the rationale behind it.

You might also read

Related Articles

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

Sort by

Same author

An improved synthesis of the saponin, polyphyllin D.

Carbohydrate research·2001

Same author

A COL1A1 Sp1 binding site polymorphism predisposes to osteoporotic fracture by affecting bone density and quality.

The Journal of clinical investigation·2001

Same author

Noninvasive diagnosis of renal-allograft rejection by measurement of messenger RNA for perforin and granzyme B in urine.

The New England journal of medicine·2001

Same author

MHC-independent allograft vascular disease: mRNA profile in the MHC congenic rat heterotopic cardiac transplant model.

Transplantation proceedings·2001

Same author

Endothelin is a potent inhibitor of matrix metalloproteinase-2 secretion and activation in rat mesangial cells.

American journal of physiology. Renal physiology·2001

Same author

[Morphological studies of myocardial fibrosis in different types of Keshan disease].

Zhonghua bing li xue za zhi = Chinese journal of pathology·2001

Search research articles

Related Experiment Video

Updated: Jun 1, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Gyrokinetic Fokker-Planck collision operator.

B Li¹, D R Ernst

¹Plasma Science and Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters

|June 15, 2011

Summary

A new, exact Fokker-Planck collision operator for plasma gyrokinetic equations is derived. This operator conserves key plasma properties and is computationally efficient for simulations.

Area of Science:

Plasma Physics
Computational Physics
Kinetic Theory

Background:

Gyrokinetic equations are essential for simulating plasma behavior.
Accurate modeling of particle collisions is crucial for plasma simulations.
Existing collision operators can be computationally expensive or lack conservation properties.

Purpose of the Study:

To derive a linearized exact Fokker-Planck collision operator suitable for plasma gyrokinetic equations.
To incorporate both test-particle and field-particle contributions.
To evaluate finite gyroradius effects and assess computational efficiency.

Main Methods:

Derivation of the linearized exact Fokker-Planck collision operator for arbitrary mass ratios.
Inclusion of test-particle and field-particle contributions.

More Related Videos

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Related Experiment Videos

Last Updated: Jun 1, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Evaluation of finite gyroradius effects in both operator components.

Main Results:

The derived operator conserves particles, momentum, and energy.
It ensures non-negative entropy production.
Finite gyroradius effects can be precomputed, and the field-particle operator is more accurate and less computationally expensive than existing models.

Conclusions:

The new gyrokinetic linearized exact Fokker-Planck collision operator offers improved accuracy and efficiency for plasma simulations.
Its ability to conserve fundamental plasma quantities and handle finite gyroradius effects makes it a valuable tool for fusion energy research.
The operator's computational advantages suggest potential for wider adoption in advanced plasma modeling.