Nonlinear decay of the inflaton: the onset of turbulence and thermalization

Details Nonlinear decay of the inflaton: the onset of turbulence and thermalization Nonlinear decay of the inflaton: the onset of turbulence and thermalization

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006jcap...08..002d&link_type=abstract

Journal of Cosmology and Astroparticle Physics, Issue 08, pp. 002 (2006).

Physics

1

Scientific paper

We study the nonlinear decay of the inflaton field with quartic potential, V(\phi)=\frac
{1}{4} \lambda \phi^4 , using the Galerkin projection method that provides a natural mode decomposition of the field with the modal coefficients having the dynamics of a set of nonlinear coupled harmonic oscillators. Three distinct phases are definitely characterized according to the role of the nonlinear couplings in the dynamics, starting from the linear regime of parametric resonance towards a final turbulent phase dominated by the nonlinear effects and connected to the chaotic behaviour of all modes, when the state of thermalization is accomplished. Two features of the turbulent stage are displayed: first, an effective mechanism of transfer of energy among the homogeneous modes and all other modes, initially resonant or not; second, the distribution of energy versus the modal wavenumber, characterizing the energy distribution per scale, which shows two distinct decoupled components. One of the components, connected to the energy distribution in small scales, has a Maxwell Boltzmann form in thermal equilibrium with temperature T_{R} \simeq 10^2 \lambda \,M_{\mathrm
{Pl}} .

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