Related Experiment Video
Updated: Aug 22, 2025

06:42
Magnetically Induced Rotating Rayleigh-Taylor Instability
Published on: March 3, 2017
9.6K
Isotropization of a Rotating and Longitudinally Expanding ϕ4 Scalar System.
Margaret E Carrington1,2, Gabor Kunstatter2,3,4, Christopher D Phillips1
1Department of Physics, Brandon University, Brandon, MB R7A 6A9, Canada.
Entropy (Basel, Switzerland)
|November 11, 2022
Summary
We numerically studied expanding scalar fields. A large initial angular momentum decayed much faster than pressure anisotropy in the non-isotropic, rotating system.
Area of Science:
- Cosmology
- Theoretical Physics
- Computational Physics
Background:
- Scalar fields are fundamental in many cosmological models.
- Understanding the dynamics of expanding systems is crucial for cosmology.
- Non-isotropic and rotating initial conditions present complex theoretical challenges.
Purpose of the Study:
- To numerically investigate the evolution of an expanding system of scalar fields.
- To analyze the isotropization of pressures and the decay of angular momentum.
- To compare the characteristic time scales of these processes.
Main Methods:
- Numerical simulations of scalar field evolution.
- Calculation of the energy-momentum tensor.
- Calculation of the angular momentum vector.
Main Results:
- The system exhibits non-isotropic expansion.
- The energy-momentum tensor and angular momentum vector were computed.
- A significant decay of initial angular momentum was observed.
- The decay of angular momentum is faster than the isotropization of pressure anisotropy.
Conclusions:
- Initial angular momentum decays considerably faster than pressure anisotropy.
- Numerical simulations provide insights into complex scalar field dynamics.
- The findings contribute to understanding the evolution of early universe models.
More Related Videos
Related Concept Videos
Euler Equations of Motion
298
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...
298
Velocity Potential
420
In steady, incompressible flow through a long, straight pipe with a uniform cross-section, the flow in the central region (far from the pipe walls) is irrotational. This irrotational nature means that fluid particles do not rotate around their axes, and a scalar function called the velocity potential, represented by ϕ, can be used to describe their movement. In irrotational flows, the velocity field V is defined as the gradient of the velocity potential:
420
Rotation of Asymmetric Top
978
By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
978
Angular Momentum about an Arbitrary Axis
240
Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
The velocity of a mass element comprises its translational velocity and the relative velocity instigated by the body's rotation. Substituting the velocity equation into...
240
Equation of Rotational Dynamics
8.8K
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...
8.8K
Vector Transformation in Rotating Coordinate Systems
1.7K
Consider a vector rotating about an axis with an angular velocity, such that its tip sweeps a circular path.
1.7K

