2000
DOI: 10.1103/physrevlett.84.5261
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Quantum Magnetic Collapse

Abstract: We study the thermodynamics of degenerate electron and charged vector boson gases in very intense magnetic fields. In degenerate conditions of the electron gas, the pressure transverse to the magnetic field B may vanish, leading to a transverse collapse. For W bosons an instability arises because the magnetization diverges at the critical field B(c) = M(2)(W)/e. If the magnetic field is self-consistently maintained, the maximum value it can take is of the order of 2B(c)/3, but in any case the system becomes un… Show more

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Cited by 150 publications
(173 citation statements)
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References 16 publications
(18 reference statements)
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“…The classical Maxwellian contribution B 2 produces a decelerated fluid expansion in the direction of the magnetic field (z), as the latter produces a negative pressure or tension in its direction, and an accelerated expansion in the directions perpendicular to it due to a positive pressure. However, we obtain the opposite effect from the statistical contribution of B in the equation of state for the magnetised electron-positron gas mixture: the pressure in the direction parallel to the field increases and that in the perpendicular direction decreases [39,40,46,51]. Although the dominant effect in the dynamics comes from the contribution B 2 , we can observe that including the magnetised electron-positron gas leads to a slight acceleration of the cosmic rate of expansion.…”
Section: Thermodynamicsmentioning
confidence: 80%
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“…The classical Maxwellian contribution B 2 produces a decelerated fluid expansion in the direction of the magnetic field (z), as the latter produces a negative pressure or tension in its direction, and an accelerated expansion in the directions perpendicular to it due to a positive pressure. However, we obtain the opposite effect from the statistical contribution of B in the equation of state for the magnetised electron-positron gas mixture: the pressure in the direction parallel to the field increases and that in the perpendicular direction decreases [39,40,46,51]. Although the dominant effect in the dynamics comes from the contribution B 2 , we can observe that including the magnetised electron-positron gas leads to a slight acceleration of the cosmic rate of expansion.…”
Section: Thermodynamicsmentioning
confidence: 80%
“…However, leptons and baryons could interact with the field through their charges (if they are charged) and via their anomalous magnetic moment (if they are neutral). In any case the interactions with the field (via charges or anomalous magnetic moment) lead to a momentum-energy tensor with anisotropic stresses [39,41]. We assume hereafter that the only particle species interacting with the magnetic field are electrons and positrons (charged leptons), protons (charged baryons) and neutrons (neutral baryons).…”
Section: Physically Motivated Field Sourcesmentioning
confidence: 99%
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“…Hence, when investigating the field effects in the EoS, it is consistent to take a magnetic field that is locally constant and uniform. This is the reason why such an approximation has been systematically used in all the previous works on magnetized nuclear [1,20,25,28,29,34,35,72,79,87,115,121,124,136,140,143] and quark matter [32,33,74,104,105,120].…”
Section: Equation Of State Of the Mcfl Phasementioning
confidence: 99%