Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos
arXiv:2107.11402 · doi:10.1140/epjc/s10052-021-09797-z
Abstract
Flavor mixing of quantum fields was found to be responsible for the breakdown of the thermal Unruh effect. Recently, this result was revisited in the context of nonextensive Tsallis thermostatistics, showing that the emergent vacuum condensate can still be featured as a thermal-like bath, provided that the underlying statistics is assumed to obey Tsallis prescription. This was analyzed explicitly for bosons. Here we extend this study to Dirac fermions and in particular to neutrinos. Working in the relativistic approximation, we provide an effective description of the modified Unruh spectrum in terms of the q-generalized Tsallis statistics, the q-entropic index being dependent on the mixing parameters sin θ and Δm. As opposed to bosons, we find q > 1, which is indicative of the subadditivity regime of Tsallis entropy. An intuitive understanding of this result is discussed in relation to the nontrivial entangled structure exhibited by the quantum vacuum for mixed fields, combined with the Pauli exclusion principle.
arXiv comment20 pages, 2 figures
References in corpus (45)
- Analogue Gravity
- The Unruh effect and its applications
- Black hole thermodynamical entropy
- Statistical mechanics in the context of special relativity
- Alice falls into a black hole: Entanglement in non-inertial frames
- Measurement of stimulated Hawking emission in an analogue system
- Entanglement of Dirac fields in non-inertial frames
- Nonextensivity and multifractality in low-dimensional dissipative systems
- Teleportation with a uniformly accelerated partner
- Generalized Statistics and Solar Neutrinos
- QUANTUM FIELD THEORY OF FERMION MIXING
- Nonextensive thermodynamic relations
- Modified cosmology from extended entropy with varying exponent
- Continuous variable entanglement sharing in non-inertial frames
- Generalized thermodynamics of q-deformed bosons and fermions
- Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect
- The Hawking-Unruh phenomenon on graphene
- Modified Unruh effect from Generalized Uncertainty Principle
- Non-extensive statistics, fluctuations and correlations in high energy nuclear collisions
- Quantum Field Theory of three flavor neutrino mixing and oscillations with CP violation
- Quantum Field Theory of boson mixing
- Signatures of the Unruh effect from electrons accelerated by ultra-strong laser fields
- Detection of acceleration radiation in a Bose-Einstein condensate
- Quantum entanglement inferred by the principle of maximum Tsallis entropy
- Generalized non-additive entropies and quantum entanglement
- GUP parameter from Maximal Acceleration
- Thermodynamic Geometry of Deformed Bosons and Fermions
- Generalized Distribution Functions and an Alternative Approach to Generalized Planck Radiation Law
- Thermal and non-thermal signatures of the Unruh effect in Casimir-Polder forces
- Thermodynamic equilibrium with acceleration and the Unruh effect
- Unruh-DeWitt detector response along static and circular geodesic trajectories for Schwarzschild-AdS black holes
- Non-thermal signature of the Unruh effect in field mixing
- Role of neutrino mixing in accelerated proton decay
- Neutrino flavor oscillations without flavor states
- The Unruh effect for mixing neutrinos
- q-generalized Tsallis thermostatistics in Unruh effect for mixed fields
- Minkowski Bessel modes
- On the beta-decay of the accelerated proton and neutrino oscillations: a three-flavor description with CP violation
- Neutrino oscillations in the Unruh radiation
- Tsallis thermostatics as a statistical physics of random chains
- van der Waals Interaction Energy Between Two Atoms Moving With Uniform Acceleration
- Influence of the dispersion relation on the Unruh effect according to the relativistic Doppler shift method
- Unruh Radiation, Holography and Boundary Cosmology
- Flavor vacuum entanglement in boson mixing
- Neutral Massive Spin 1/2 Particles Emission in a Rindler Spacetime
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