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We present a theoretical and numerical study of Fourier space triad phasedynamics in one-dimensional stochastically forced Burgers equation at Reynoldsnumber $\mathrm{Re} \approx 2.7 \times 10^4$. We demonstrate that Fourier triadphases over the inertial range display a collective behaviour characterised byintermittent periods of synchronisation and alignment, reminiscent of Kuramotomodel (Kuramoto 1984) and directly related to collisions of shocks in physicalspace. These periods of synchronisation favour efficient energy fluxes acrossthe inertial range towards small scales, resulting in strong bursts ofdissipation and enhanced coherence of Fourier energy spectrum. The fast timescale of the onset of synchronisation relegates energy dynamics to a passiverole: this is further examined using a reduced system with the Fourieramplitudes fixed in time -- a phase-only model. We show that intermittent triadphase dynamics persists without amplitude evolution and we broadly recover manyof the characteristics of the full Burgers system. In addition, for both fullBurgers and phase-only systems the physical space velocity statistics revealsthat triad phase alignment is directly related to the non-Gaussian statisticstypically associated with structure-function intermittency in turbulentsystems.

Energy flux enhancement, intermittency and turbulence via Fourier triad phase dynamics in 1D Burgers equation