Can a Lorentz Invariant Equation Describe Thermal Energy Propagation Problems?

Márkus, Ferenc

doi:10.5772/27667

Cited by 5 publications

(4 citation statements)

References 44 publications

(40 reference statements)

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“…The structure of equation is similar to the equations (1) and (2) (such as in Refs. [1][2][3][4][5][6][7]) that includes a dynamical phase transition depending on the parameter as a consequence of a spinodal instability [19,20]. The equation for the vector potential can be also formulated, starting from Eq.…”

Section: A Repulsive Force In the Electrodynamicsmentioning

confidence: 99%

“…It can be seen that for all of the field equationsequations (9), (11), (16) and 18have the same structure. We know from the former studies [1][2][3][4][5][6][7]15] that these Klein-Gordon equations with a negative "mass term" are resulted from repulsive interactions. Thus, it seems to us that the interaction in the present case is a repulsive-like force which appears mathematically in the second Maxwell's equation, in Eq.…”

Section: A Repulsive Force In the Electrodynamicsmentioning

confidence: 99%

“…Mechanical [1,2], thermodynamic [2][3][4] and further field theoretical examples [5][6][7] for the Klein-Gordon equation with negative "mass term" involve the same dynamical phase transition that operates between the diffusive and the wave type dynamics. Studying the existence of these kinds of phenomena we may assume that the occurrence of these are more general and not restricted exclusively to a certain part of physics.…”

Section: Introductionmentioning

confidence: 99%

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A Repulsive Interaction in Classical Electrodynamics

Gambár¹,

Rocca²,

Márkus³

2020

ACTA POLYTECH HUNG

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Herein, we introduce an additional term into the induction equation (one of the Maxwell's equation). The related Lagrangian formalism applying the scalar and vector potentials is fitted to this modified Maxwell's equations. In the framework of Hamiltons's principle we are able to deduce Klein-Gordon equations with negative "mass term" for the field variables electric field E and magnetic induction B. We can conclude from the mathematical structure of the equations that a repulsive interaction appears. The Wheeler propagator can be calculated for the present case by which the time evolution of the field can be discussed. In spite of the situation that these equations have tachyon solutions, the results are in line with the causality principle. As a consequence of the theory, a spontaneous charge disjunction process may rise in the field.

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Section: A Repulsive Force In the Electrodynamicsmentioning

confidence: 99%

Section: A Repulsive Force In the Electrodynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Repulsive Interaction in Classical Electrodynamics

Gambár¹,

Rocca²,

Márkus³

2020

ACTA POLYTECH HUNG

View full text Add to dashboard Cite

show abstract

“…The general solution is not known at the time of this writing. We can conclude that there is a successful description for the thermal energy propagation with the help of the potential theory [15,16]. Accordingly, this means that the laws of thermodynamics are completed in the Lorentz invariant formulation [17,18].…”

Section: Elaboration Of Formalism and The Directions Of Applicationsmentioning

confidence: 99%