Strong versus weak wave-turbulence in relativistic field theory

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Output type: Journal article

Author list: Berges J, Sexty D

Publisher: American Physical Society

Publication year: 2011

Journal: Physical Review D (1550-7998)

Volume number: 83

Issue number: 8

ISSN: 1550-7998

eISSN: 1550-2368

Languages: English-Great Britain (EN-GB)

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Open access status: green

Full text URL: https://arxiv.org/pdf/1012.5944

Abstract

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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