61 citations · 234 across the 11 of their papers we have counts for
11 papers
Noise correction of large deviations with anomalous scaling
Daniel Nickelsen, Hugo Touchette
We present a path integral calculation of the probability distribution associated with the time-integrated moments of the Ornstein-Uhlenbeck process that includes the Gaussian pref…
Modelling equilibration of local many-body quantum systems by random graph ensembles
Daniel Nickelsen, Michael Kastner
We introduce structured random matrix ensembles, constructed to model many-body quantum systems with local interactions. These ensembles are employed to study equilibration of isol…
Classical Lieb-Robinson Bound for Estimating Equilibration Timescales of Isolated Quantum Systems
Daniel Nickelsen, Michael Kastner
We study equilibration of an isolated quantum system by mapping it onto a network of classical oscillators in Hilbert space. By choosing a suitable basis for this mapping, the degr…
Anomalous scaling of dynamical large deviations
Daniel Nickelsen, Hugo Touchette
The typical values and fluctuations of time-integrated observables of nonequilibrium processes driven in steady states are known to be characterized by large deviation functions, g…
Master equation for She-Leveque scaling and its classification in terms of other Markov models of developed turbulence
Daniel Nickelsen
We derive the Markov process equivalent to She-Leveque scaling in homogeneous and isotropic turbulence. The Markov process is a jump process for velocity increments in scale…
On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics
Nico Reinke, Andre Fuchs, Daniel Nickelsen +1
Features of the turbulent cascade are investigated for various datasets from three different turbulent flows. The analysis is focused on the question as to whether developed turbul…
Level 2 large deviation functionals for systems with and without detailed balance
Johannes Hoppenau, Daniel Nickelsen, Andreas Engel
Large deviation functions are an essential tool in the statistics of rare events. Often they can be obtained by contraction from a so-called level 2 large deviation {\em functional…
Markov Processes linking Thermodynamics and Turbulence
Daniel Nickelsen
This PhD thesis deals with the Markov picture of developed turbulence from the theoretical point of view. The thesis consists of two parts. The first part introduces stochastic the…
Prior-predictive value from fast-growth simulations: Error analysis and bias estimation
Alberto Favaro, Daniel Nickelsen, Elena Barykina +1
Variants of fluctuation theorems recently discovered in the statistical mechanics of non-equilibrium processes may be used for the efficient determination of high-dimensional integ…
Probing small-scale intermittency with a fluctuation theorem
D. Nickelsen, A. Engel
We characterize statistical properties of the flow field in developed turbulence using concepts from stochastic thermodynamics. On the basis of data from a free air-jet experiment,…
Asymptotic work distributions in driven bistable systems
D. Nickelsen, A. Engel
The asymptotic tails of the probability distributions of thermodynamic quantities convey important information about the physics of nanoscopic systems driven out of equilibrium. We…