Strong versus weak wave-turbulence in relativistic field theory

Details Strong versus weak wave-turbulence in relativistic field theory Strong versus weak wave-turbulence in relativistic field theory

2010-12-29

arxiv.org/abs/1012.5944v1

Phys.Rev.D83:085004,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 3 figures

Scientific paper

10.1103/PhysRevD.83.085004

Nonthermal scaling phenomena can exhibit a characteristic dependence on the dimensionality d of space. For d=3 and 4 we simulate a relativistic scalar field theory on a lattice and compute turbulent scaling exponents. We recover Kolmogorov or weak wave-turbulence in the perturbative high-momentum regime, where it exhibits the scaling exponent kappa_w = d - 3/2. In the nonperturbative infrared regime, we find a different scaling exponent kappa_s = 4 (5) for d=3 (4), which is in agreement with the recently predicted anomalously large values kappa_s = d + 1 of strong turbulence. We show how the latter can be seen to characterize stationary transport of a conserved effective particle number.

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