Relativistic magnetohydrodynamics and irreversible thermodynamics

1961 ◽  
Vol 57 (4) ◽  
pp. 878-889 ◽  
Author(s):  
W. F. Hughes
Keyword(s):  
Energy Momentum Tensor ◽  
Irreversible Thermodynamics ◽  
Momentum Tensor ◽  
Second Law ◽  
Entropy Production Rate ◽  
Relativistic Energy ◽  
First Law Of Thermodynamics ◽  
Basic Equations ◽  
Energy And Momentum ◽  
Relativistic Magnetohydrodynamics

ABSTRACTThe basic equations of non-relativistic magnetohydrodynamics are briefly reviewed. Beginning with the energy-momentum tensor for the coupled electromagnetic and fluid fields relativistic energy and momentum equations are formulated. The effect of heat conduction is included and relativistic constitutive equations are discussed. A relativistic first law of thermodynamics is developed in terms of internal energy and entropy. Finally, the second law and entropy production rate are derived in a covariant fashion.

The wormhole thermodynamics in f (R ) gravity

2019 ◽  
Vol 35 (04) ◽  
pp. 1950360 ◽  
Author(s):  
A. S. Sefiedgar ◽  
M. Mirzazadeh
Keyword(s):  
Continuity Equation ◽  
Energy Momentum Tensor ◽  
Apparent Horizon ◽  
Second Law Of Thermodynamics ◽  
Momentum Tensor ◽  
Second Law ◽  
Standard Entropy ◽  
Field Equations ◽  
First Law Of Thermodynamics ◽  
Generalized Second Law

Thermodynamics of the evolving Lorentzian wormhole at the apparent horizon is investigated in [Formula: see text] gravity. Redefining the energy density and the pressure, the continuity equation is satisfied and the field equations in [Formula: see text] gravity reduce to the ones in general relativity. However, the energy–momentum tensor includes all the corrections from [Formula: see text] gravity. Therefore, one can apply the standard entropy-area relation within [Formula: see text] gravity. It is shown that there may be an equivalency between the field equations and the first law of thermodynamics. It seems that an equilibrium thermodynamics may be held on the apparent horizon. The validity of the generalized second law of thermodynamics (GSL) is also investigated in the wormholes.

scholarly journals On the removal of the infinite self-energies of point-particles

1944 ◽  
Vol 183 (993) ◽  
pp. 142-167 ◽  
Keyword(s):  
Energy Momentum Tensor ◽  
World Line ◽  
Equations Of Motion ◽  
Momentum Tensor ◽  
The World ◽  
Finite Integral ◽  
Set Up ◽  
Energy And Momentum ◽  
Different Order ◽  
General Method

A general method is set up for modifying the energy-momentum tensor so as to remove the singularities in the flow of energy and momentum into the world-line of a particle without affecting the equations of motion of the particle. It is shown how the singularities of different order may be removed one by one. In the case of the electromagnetic and meson fields it is shown that the modified tensor leads to a finite integral of energy and momentum over any space-like surface. In other cases the corresponding result may be secured by making a further modification in the tensor.

scholarly journals ENERGY AND ENTROPY OF RELATIVISTIC DIFFUSING PARTICLES

2010 ◽  
Vol 25 (31) ◽  
pp. 2683-2695 ◽  
Author(s):  
Z. HABA
Keyword(s):  
Free Energy ◽  
Time Dependence ◽  
Energy Momentum Tensor ◽  
Second Law Of Thermodynamics ◽  
Momentum Tensor ◽  
Second Law ◽  
Entropy Flow ◽  
Fixed Temperature ◽  
Exact Time ◽  
Energy Entropy

We discuss energy–momentum tensor and the second law of thermodynamics for a system of relativistic diffusing particles. We calculate the energy and entropy flow in this system. We obtain an exact time-dependence of energy, entropy and free energy of a beam of photons in a reservoir of a fixed temperature.

The relativistic energy-momentum tensor in polarized media

Physica ◽  
1967 ◽  
Vol 37 (2) ◽  
pp. 297-308 ◽  
Author(s):  
S.R. De Groot ◽  
L.G. Suttorp
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Relativistic Energy

Particle creation from thermodynamics point of view in f(𝒢,T) gravity

2021 ◽  
pp. 2150177
Author(s):  
M. Zubair ◽  
Mubashira Rahseed ◽  
Rabia Saleem ◽  
G. Abbas
Keyword(s):  
Entropy Production ◽  
Particle Creation ◽  
Second Law Of Thermodynamics ◽  
Irreversible Thermodynamics ◽  
Momentum Tensor ◽  
Conservation Equation ◽  
Point Of View ◽  
Entropy Production Rate ◽  
Generalized Second Law ◽  
The Impact

This paper aims to discuss the gravitationally induced particle creation in the framework of [Formula: see text] theory, which involves the non-minimal coupling (NMC) between Gauss–Bonnet (GB) invariant, [Formula: see text] and trace of the energy–momentum tensor (EMT), [Formula: see text]. Here, NMC between matter and gravitational sector results in non-divergence of EMT. We discuss the generalized conservation equation for the irreversible process of matter creation with the help of generalized second law of thermodynamics (GSLT). Particle creation rate, creation pressure, entropy production rate and temperature are obtained for this theory using flat FRW geometry. We work on three particular [Formula: see text] models and study cosmological implications of open irreversible thermodynamics. Furthermore, the impact of NMC on cosmological evolution and entropy production is briefly discussed.

The relativistic energy-momentum tensor in polarized media

Physica ◽  
1968 ◽  
Vol 39 (1) ◽  
pp. 61-76 ◽  
Author(s):  
S.R. de Groot ◽  
L.G. Suttorp
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Relativistic Energy
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