2020
DOI: 10.1103/physrevd.102.063018
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Late-time behavior of fast neutrino oscillations

Abstract: We study the fully nonlinear fast flavor evolution of neutrinos in 1 þ 1 dimensions. Our numerical analysis shows that at late times, the system reaches an approximately steady state. Using the steady-state approximation, we analytically show that the spatial variation of the polarization vectors is given by their precession around a common axis, which itself has a motion reminiscent of a gyroscopic pendulum. We then show that the steady-state solution to the equations of motion cannot be separated in position… Show more

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Cited by 71 publications
(57 citation statements)
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“…Eq. (2) also indicates a non-separable steady-state solution (non-collective) for P v (x) in position and velocity coordinates [4]. We numerically checked this via plotting the spatial variation of…”
Section: Resultsmentioning
confidence: 99%
“…Eq. (2) also indicates a non-separable steady-state solution (non-collective) for P v (x) in position and velocity coordinates [4]. We numerically checked this via plotting the spatial variation of…”
Section: Resultsmentioning
confidence: 99%
“…Although the flavor evolution of this model can be inferred from the neutrino electronic lepton number (ELN) distribution and the dispersion relation (DR) when little flavor conversion has occurred [10][11][12], the few numerical explorations that have been made public so far seem to disagree qualitatively in the nonlinear regime. While our previous works show that fast oscillations can be coherent in space and time [13,14], the calculations from two other groups suggest that flavor depolarization should occur instead [15][16][17]. A recent study shows both the coherent flavor evolution in the short term and flavor depolarization in the long term when neutrinos are allowed to wrap around the periodic box [18].…”
Section: Introductionmentioning
confidence: 76%
“…The majority of the simulations so far assume homogeneity ("one-zone" models) and are discretized in only angle (or angular moments) and time. These simulations have demonstrated a consistency between linear stability analysis and direct evolution of the nonlinear equations [65][66][67][68] and have shed some insight into the late-time angular turbulence and kinematic decoherence [69][70][71]. Other simulations of the FFI have included inhomogeneity [72,73], a simplified treatment of collisional processes [74], or both [50].…”
Section: Introductionmentioning
confidence: 77%