Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-10-20
Phys.Rev.D73:025014,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
47 pages, 31 figures. Presentation improved, 4 new figures
Scientific paper
10.1103/PhysRevD.73.025014
We investigate the dynamics of thermalization and the approach to equilibrium in the classical phi^4 theory in 3+1 spacetime dimensions. The non-equilibrium dynamics is studied by numerically solving the equations of motion in a light- cone-like discretization of the model for a broad range of initial conditions and energy densities.A smooth cascade of energy towards the ultraviolet is found to be the basic mechanism of thermalization.After an initial transient stage,at a time scale of several hundreds inverse masses,the squared of the field gradient becomes larger than the nonlinear term and a stage of universal cascade emerges. As the cascade progresses, the modes with higher wavenumbers exhibit weaker and weaker nonlinearities well described by the Hartree approximation while the infrared modes retain strong selfinteractions. Two timescales for equilibration appears.For k^2>
de Vega Hector J.
Destri Claudio
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