Approaching complexity by stochastic methods: From biological systems to turbulence
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …
(in time or space), sequentially measured set of experimental data, how should one analyze …
The Fokker–Planck approach to complex spatiotemporal disordered systems
When the complete understanding of a complex system is not available, as, eg, for systems
considered in the real world, we need a top-down approach to complexity. In this approach …
considered in the real world, we need a top-down approach to complexity. In this approach …
Development of anode catalysts for a direct ethanol fuel cell
F Vigier, C Coutanceau, A Perrard, EM Belgsir… - Journal of Applied …, 2004 - Springer
Ethanol electrooxidation was investigated at platinum based electrodes: Pt, Pt—Sn, Pt—Re
dispersed on a high surface area carbon powder. The atomic composition of the bimetallic …
dispersed on a high surface area carbon powder. The atomic composition of the bimetallic …
Experimental indications for Markov properties of small-scale turbulence
C Renner, J Peinke, R Friedrich - Journal of Fluid Mechanics, 2001 - cambridge.org
We present a stochastic analysis of a data set consisting of 1.25× 107 samples of the local
velocity measured in the turbulent region of a round free jet. We find evidence that the …
velocity measured in the turbulent region of a round free jet. We find evidence that the …
Evidence of Markov properties of high frequency exchange rate data
C Renner, J Peinke, R Friedrich - Physica A: Statistical Mechanics and its …, 2001 - Elsevier
We present a stochastic analysis of a data set consisting of 106 quotes of the US Dollar–
German Mark exchange rate. Evidence is given that the price changes x (τ) upon different …
German Mark exchange rate. Evidence is given that the price changes x (τ) upon different …
Universality of small scale turbulence
C Renner, J Peinke, R Friedrich, O Chanal… - Physical review letters, 2002 - APS
The proposed universality of small scale turbulence is investigated for a set of
measurements in a cryogenic free jet with a variation of the Reynolds number (Re) from …
measurements in a cryogenic free jet with a variation of the Reynolds number (Re) from …
On the rapid increase of intermittency in the near-dissipation range of fully developed turbulence
L Chevillard, B Castaing, E Lévêque - The European Physical Journal B …, 2005 - Springer
Intermittency, measured as \log\left(F(r)/3\right), where F (r) is the flatness of velocity
increments at scale r, is found to rapidly increase as viscous effects intensify, and eventually …
increments at scale r, is found to rapidly increase as viscous effects intensify, and eventually …
A causal multifractal stochastic equation and its statistical properties
FG Schmitt - The European Physical Journal B-Condensed Matter …, 2003 - Springer
Multiplicative cascades have been introduced in turbulence to generate random or
deterministic fields having intermittent values and long-range power-law correlations …
deterministic fields having intermittent values and long-range power-law correlations …
Probing small-scale intermittency with a fluctuation theorem
D Nickelsen, A Engel - Physical review letters, 2013 - APS
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 …
concepts from stochastic thermodynamics. On the basis of data from a free air-jet …
Causality across rainfall time scales revealed by continuous wavelet transforms
Rainfall variability occurs over a wide range of time scales owing to processes initiated by
cloud microphysics and sustained by atmospheric circulation. A central topic in rainfall …
cloud microphysics and sustained by atmospheric circulation. A central topic in rainfall …