Related Experiment Video
Updated: Jun 14, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Instantons, Fluctuations, and Singularities in the Supercritical Stochastic Nonlinear Schrödinger Equation
Sumeja Bureković1, Tobias Schäfer2,3, Rainer Grauer1
1Institute for Theoretical Physics I, <a href="https://ror.org/04tsk2644">Ruhr University Bochum</a>, Universitätsstrasse 150, D-44801 Bochum, Germany.
Abstract:
Recently, Josserand et al. proposed a stochastic nonlinear Schrödinger model for finite-time singularity-mediated turbulence [Phys. Rev. Fluids 5, 054607 (2020)PLFHBR2469-990X10.1103/PhysRevFluids.5.054607]. Here, we use instanton calculus to quantify the effect of extreme fluctuations on the statistics of the energy dissipation rate. While the contribution of the instanton alone is insufficient, we obtain excellent agreement with direct simulations when including Gaussian fluctuations and the corresponding zero mode. Fluctuations are crucial to obtain the correct scaling when quasisingular events govern the turbulence statistics.
Related Concept Videos
Interference and Superposition of Waves
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
First Law: Particles in One-dimensional Equilibrium
Poisson's And Laplace's Equation
The Quantum-Mechanical Model of an Atom
Entropy
Basic Continuous Time Signals
The unit step function, denoted u(t), is zero for negative time values and one for positive time values, exhibiting a discontinuity at t=0. This function often represents abrupt changes, such as the step voltage introduced when turning a car's...

