- Particle Mechanics, Relativity, and Photons

2015 ◽  
pp. 72-87
Keyword(s):  
Particle Mechanics

scholarly journals Cosmic Analogues of Classic Variational Problems

Universe ◽  
2020 ◽  
Vol 6 (6) ◽  
pp. 71 ◽  
Author(s):  
Valerio Faraoni
Keyword(s):  
Relativistic Particle ◽  
Friedmann Equation ◽  
Variational Calculus ◽  
Variational Problems ◽  
Particle Mechanics ◽  
One Dimensional ◽  
Spatially Homogeneous

Several classic one-dimensional problems of variational calculus originating in non-relativistic particle mechanics have solutions that are analogues of spatially homogeneous and isotropic universes. They are ruled by an equation which is formally a Friedmann equation for a suitable cosmic fluid. These problems are revisited and their cosmic analogues are pointed out. Some correspond to the main solutions of cosmology, while others are analogous to exotic cosmologies with phantom fluids and finite future singularities.

scholarly journals A homogenisation strategy for micromorphic continua based on particle mechanics

PAMM ◽  
2016 ◽  
Vol 16 (1) ◽  
pp. 515-516
Author(s):  
Sami Bidier ◽  
Wolfgang Ehlers
Keyword(s):  
Particle Mechanics ◽  
Micromorphic Continua

scholarly journals Axiomatic Foundations of Classical Particle Mechanics

1953 ◽  
Vol 2 (2) ◽  
pp. 253-272 ◽  
Author(s):  
J. McKinsey ◽  
A. Sugar ◽  
Patrick Suppes
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

scholarly journals Analogues of glacial valley profiles in particle mechanics and in cosmology

FACETS ◽  
2017 ◽  
Vol 2 (1) ◽  
pp. 286-300 ◽  
Author(s):  
Valerio Faraoni ◽  
Adriana M. Cardini
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Positive Curvature ◽  
Friedmann Equation ◽  
Theoretical Models ◽  
Point Particle ◽  
Relativistic Cosmology ◽  
Future Singularity ◽  
Particle Mechanics ◽  
Curvature Index

An ordinary differential equation describing the transverse profiles of U-shaped glacial valleys has two formal analogies, which we explore in detail, bridging these different areas of research. First, an analogy with point particle mechanics completes the description of the solutions. Second, an analogy with the Friedmann equation of relativistic cosmology shows that the analogue of a glacial valley profile is a universe with a future singularity of interest in theoretical models of cosmology. A Big Freeze singularity, which was not previously observed for positive curvature index, is also contained in the dynamics.

Hamiltonians in Relativistic Classical Particle Mechanics

1968 ◽  
Vol 166 (5) ◽  
pp. 1308-1316 ◽  
Author(s):  
Thomas F. Jordan
Keyword(s):  
Classical Particle ◽  
Particle Mechanics

Thermodynamics From a Few Dynamic Particles Raises Questions as to How Temperature and Entropy Should Be Perceived and Defined

2007 ◽  
Author(s):  
W. John Dartnall ◽  
John Reizes
Keyword(s):  
Kinetic Energy ◽  
Single Particle ◽  
Heat Engine ◽  
Working Fluid ◽  
Second Law ◽  
Piston Engine ◽  
New Approach ◽  
Particle Mechanics ◽  
Mechanics Model ◽  
Heat Engines

In a recently developed simple particle mechanics model, in which a single particle represents the working fluid, (gas) in a heat engine, (exemplified by a piston engine) a new approach was outlined for the teaching of concepts to thermodynamic students. By mechanics reasoning, a model was developed that demonstrates the connection between the Carnot efficiency limitation of heat engines, and the Kelvin-Planck statement of Second Law, requiring only the truth of the Clausius statement. In a second paper the model was extended to introduce entropy. The particle’s entropy was defined as a function of its kinetic energy, and the space that it occupies, that is analogous to that normally found in classical macroscopic analyses. In this paper, questions are raised and addressed: How should temperature and entropy be perceived and defined? Should temperature be proportional to average (molecular) translational kinetic energy and should entropy be dimensionless?

scholarly journals A particle mechanics description of antisymmetric tensor fields

1989 ◽  
Vol 6 (8) ◽  
pp. 1125-1140 ◽  
Author(s):  
P Howe ◽  
S Penati ◽  
M Pernici ◽  
P K Townsend
Keyword(s):  
Antisymmetric Tensor ◽  
Tensor Fields ◽  
Particle Mechanics
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