On the stability of a new relativistic kinetic equation

1984 ◽  
Vol 282 ◽  
pp. 361 ◽  
Author(s):  
H. E. Kandrup
Keyword(s):  
Kinetic Equation ◽  
Relativistic Kinetic Equation ◽  
The Stability

scholarly journals The heat flux from a relativistic kinetic equation with a simplified collision kernel

2009 ◽  
Author(s):  
A. Sandoval-Villalbazo ◽  
A. L. Garcia-Perciante ◽  
L. S. Garcia-Colin ◽  
Kerstin E. Kunze ◽  
Marc Mars ◽  
...  
Keyword(s):  
Heat Flux ◽  
Kinetic Equation ◽  
Collision Kernel ◽  
Relativistic Kinetic Equation

scholarly journals Lagrangian Formulation of a Consistent Relativistic Guiding Center Theory

1983 ◽  
Vol 38 (6) ◽  
pp. 601-607 ◽  
Author(s):  
H. K. Wimmel
Keyword(s):  
Kinetic Equation ◽  
Energy Density ◽  
Relativistic Theory ◽  
Lagrangian Formulation ◽  
Moment Equations ◽  
Relativistic Limit ◽  
Relativistic Kinetic Equation ◽  
Center Density ◽  
Liouville’S Theorem

A new relativistic guiding center mechanics is presented that conserves energy (in timeindpendent Fields) and satisfies a Liouville's theorem. The theory reduces to Littlejohn's theory in the non-relativistic limit and agrees to leading orders in ε ≡ rg/L with the relativistic theory by Morozov and Solov'ev (which generally lacks a Liouville's theorem). The new theory is developed from an appropriate Lagrangian and is supplemented by a collisionless relativistic kinetic equation for the guiding centers. Moment equations for guiding center density and energy density are also derived

scholarly journals Relativistic Quantum Kinetic Equation of the Vlasov Type for Systems with Internal Degrees of Freedom

1998 ◽  
Vol 07 (04) ◽  
pp. 515-526 ◽  
Author(s):  
S. A. Smolyansky ◽  
A. V. Prozorkevich ◽  
S. Schmidt ◽  
D. Blaschke ◽  
G. Röpke ◽  
...  
Keyword(s):  
Kinetic Equation ◽  
Conservation Laws ◽  
Degrees Of Freedom ◽  
Relativistic Quantum ◽  
Quantum Field ◽  
Quantum Kinetic Equation ◽  
Heisenberg Picture ◽  
Relativistic Kinetic Equation ◽  
Field Systems ◽  
Internal Degrees Of Freedom

We present an approach to derive a relativistic kinetic equation of the Vlasov type. Our approach is especially reliable for the description of quantum field systems with many internal degrees of freedom. The method is based on the Heisenberg picture and leads to a kinetic equation which fulfills the conservation laws. We apply the approach to the standard Walecka Lagrangian and an effective chiral Lagrangian.

On the Stability of D2D Connection with the Use of Kinetic Equation for SIR Empirical Distribution

2019 ◽  
pp. 111-124
Author(s):  
Yurii Orlov ◽  
Anastasia Ivchenko ◽  
Natalia Podzharaya ◽  
Anastasiia Sochenkova ◽  
Vsevolod Shorgin ◽  
...  
Keyword(s):  
Kinetic Equation ◽  
Empirical Distribution ◽  
The Stability

Stability of vitamins during the storage of liquid infant milks

2000 ◽  
Vol 67 (2) ◽  
pp. 225-231 ◽  
Author(s):  
SOLEDAD ALBALÁ-HURTADO ◽  
M. TERESA VECIANA-NOGUÉS ◽  
ENRIQUE RIERA-VALLS ◽  
ABEL MARINÉ-FONT ◽  
M. CARMEN VIDAL-CAROU
Keyword(s):  
Kinetic Equation ◽  
Vitamin A ◽  
Storage Temperature ◽  
Storage Period ◽  
Water Soluble ◽  
The Other ◽  
Two Samples ◽  
The Stability ◽  
Fat Soluble Vitamins ◽  
Storage Temperatures

The stability of the water-soluble B vitamins and the fat-soluble vitamins A and E of three liquid infant milks was followed throughout 12 months of storage at 20, 30 and 37 °C. Two samples were ‘follow-on’ milks from two different manufacturers and the other a ‘junior’ milk from one of these. The levels of water-soluble vitamins and vitamin E remained constant during storage at the three temperatures. In contrast, vitamin A decreased in samples from one manufacturer at all storage temperatures, and in samples from the other only at 37 °C. A kinetic equation was derived that made it possible to predict the influence of storage temperature on the shelf life of these kinds of products, together with the storage period during which levels of vitamin A recommended as adequate would remain.

Sign in / Sign up

Export Citation Format

Share Document