This paper is devoted to numerical simulation of stochastic vortex tangle dynamics in the Langevin formalism. A scale separation scheme is applied to evaluate a Biot-Savart integral entering into a full equation of motion. This procedure reduces the number of operations for integral computation. A new algorithm, which is based on consideration of crossing lines, is used for vortex reconnection processes. Calculations are performed for an open space with no walls. One of the most startling results is a formation and disappearance of regions of very high vorticity. These regions suddenly disappear and appear again in different places, with a resemblance to the intermittency phenomenon in classical turbulence. The distributions of loops with respect to their lengths and the spectrum of energy are calculated.
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