Built on

H. Tye, J. Xu, and Y. Zhang, “Multi-Field Inflation with a Random Potential,” JCAP
Original
1944
Earlier work this paper cites.
P. W. Anderson, “Absence of Diffusion in Certain Random Lattices,” Physical Review
1958
Earlier work this paper cites.
A. O’Hagan and T. Leonard, “Bayes estimation subject to uncertainty about parameter constraints,” Biometrika
1976
Earlier work this paper cites.
T. S. Bunch and P. C. W. Davies, “Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting,” Proc. Roy. Soc. Lond
1978
Earlier work this paper cites.
A. A. Abrikosov, “The paradox with the static conductivity of a one-dimensional metal,” Solid State Comm
1981
Earlier work this paper cites.
A. S. Goncharov, A. D. Linde, and M. I. Vysotsky, “Cosmological Problems for Spontaneously Broken Supergravity,” Phys. Lett
1984
Earlier work this paper cites.
A. Azzalini, “A class of distributions which includes the normal ones,” Scand. J. Statist
1985
Earlier work this paper cites.
P. Mello, P. Pereyra, and N. Kumar, “Macroscopic Approach to Multichannel Disordered Conductors,” Annals of Physics
1988
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J. H. Traschen and R. H. Brandenberger, “Particle Production During Out-of-equilibrium Phase Transitions,” Phys. Rev
1990
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L. Kofman, A. Linde, and A. Starobinsky, “Reheating after Inflation,” Phys. Rev. Lett
1994
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L. Kofman, A. Linde, and A. Starobinsky, “Towards the Theory of Reheating after Inflation,” Phys. Rev
1997
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B. Bassett, “Inflationary Reheating Classes via Spectral Methods,” Phys. Rev
1998
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V. Zanchin, A. Maia, W. Craig, and R. Brandenberger, “Reheating in the Presence of Inhomogeneous Noise,” Phys. Rev
1999
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Prentice Hall, Upper Saddle River, N.J., 2002
H. Stark and J. W. Woods, Probability and random processes with applications to signal processing · 2002
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S. E. Joras and V. H. Cardenas, “Chaos and preheating,” Phys. Rev
2003
Earlier work this paper cites.
No. 4. Oxford University Press, 2004
P. Mello and N. Kumar, Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations · 2004
Earlier work this paper cites.

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2019

Stochastic Particle Production in a de Sitter Background

Garcia, Marcos A. G., Amin, Mustafa A., Carlsten, Scott G. et al.

Understand

We explore non-adiabatic particle production in a de Sitter universe for a scalar spectator field, by allowing the effective mass $m^2(t)$ of this field and the cosmic time interval between non-adiabatic events to vary stochastically.

Two main scenarios are considered depending on the (non-stochastic) mass $M$ of the spectator field: the conformal case with $M^2=2H^2$, and the case of a massless field.
We make use of the transfer matrix formalism to parametrize the evolution of the system in terms of the "occupation number", and two phases associated with the transfer matrix; these are used to construct the evolution of the spectator field.
Assuming short-time interactions approximated by Dirac-delta functions, we numerically track the change of these parameters and the field in all regimes: sub- and super-horizon with weak and strong scattering.

Built on

H. Tye, J. Xu, and Y. Zhang, “Multi-Field Inflation with a Random Potential,” JCAP
Original
1944
Earlier work this paper cites.
P. W. Anderson, “Absence of Diffusion in Certain Random Lattices,” Physical Review
1958
Earlier work this paper cites.
A. O’Hagan and T. Leonard, “Bayes estimation subject to uncertainty about parameter constraints,” Biometrika
1976
Earlier work this paper cites.
T. S. Bunch and P. C. W. Davies, “Quantum Field Theory in de Sitter Space: Renormalization by Point Splitting,” Proc. Roy. Soc. Lond
1978
Earlier work this paper cites.
A. A. Abrikosov, “The paradox with the static conductivity of a one-dimensional metal,” Solid State Comm
1981
Earlier work this paper cites.
A. S. Goncharov, A. D. Linde, and M. I. Vysotsky, “Cosmological Problems for Spontaneously Broken Supergravity,” Phys. Lett
1984
Earlier work this paper cites.
A. Azzalini, “A class of distributions which includes the normal ones,” Scand. J. Statist
1985
Earlier work this paper cites.
P. Mello, P. Pereyra, and N. Kumar, “Macroscopic Approach to Multichannel Disordered Conductors,” Annals of Physics
1988
Earlier work this paper cites.
J. H. Traschen and R. H. Brandenberger, “Particle Production During Out-of-equilibrium Phase Transitions,” Phys. Rev
1990
Earlier work this paper cites.
L. Kofman, A. Linde, and A. Starobinsky, “Reheating after Inflation,” Phys. Rev. Lett
1994
Earlier work this paper cites.
L. Kofman, A. Linde, and A. Starobinsky, “Towards the Theory of Reheating after Inflation,” Phys. Rev
1997
Earlier work this paper cites.
B. Bassett, “Inflationary Reheating Classes via Spectral Methods,” Phys. Rev
1998
Earlier work this paper cites.
V. Zanchin, A. Maia, W. Craig, and R. Brandenberger, “Reheating in the Presence of Inhomogeneous Noise,” Phys. Rev
1999
Earlier work this paper cites.
Prentice Hall, Upper Saddle River, N.J., 2002
H. Stark and J. W. Woods, Probability and random processes with applications to signal processing · 2002
Earlier work this paper cites.
S. E. Joras and V. H. Cardenas, “Chaos and preheating,” Phys. Rev
2003
Earlier work this paper cites.
No. 4. Oxford University Press, 2004
P. Mello and N. Kumar, Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations · 2004
Earlier work this paper cites.