Short-time correlations of many-body systems described by nonlinear Fokker–Planck equations and Vlasov–Fokker–Planck equations

2005 ◽  
Vol 337 (3) ◽  
pp. 224-234 ◽  
Author(s):  
T.D. Frank
Keyword(s):  
Many Body ◽  
Time Correlations ◽  
Many Body Systems ◽  
Fokker Planck Equations ◽  
Short Time ◽  
Fokker Planck

scholarly journals Multipoint Reconstruction of Wind Speeds

2020 ◽  
Author(s):  
Christian Behnken ◽  
Matthias Wächter ◽  
Joachim Peinke
Keyword(s):  
Wind Speed ◽  
Time Scales ◽  
Numerical Solutions ◽  
Wind Data ◽  
Conditional Probability Density ◽  
Wind Speeds ◽  
Fokker Planck Equations ◽  
Short Time ◽  
Speed Fluctuations ◽  
Fokker Planck

Abstract. The most intermittent behavior of atmospheric turbulence is found for very short time scales. Based on a concatenation of conditional probability density functions (cpdfs) of nested wind speeds increments, inspired by a Markov process in scale, we derive a short-time predictor for wind speed fluctuations around a non-stationary mean value and with a corresponding non-stationary variance. As a new quality this short time predictor enables a multipoint reconstruction of wind data. The used cpdfs are (1) directly estimated from historical data from the offshore research platform FINO1 and (2) obtained from numerical solutions of a family of Fokker-Planck equations in the scale domain. The explicit forms of the Fokker-Planck equations are estimated from the given wind data. A good agreement between the statistics of the generated synthetic wind speed fluctuations and the measured is found even on time scales below 1 s. This shows that our approach captures the short-time dynamics of real wind speed fluctuations very well. Our method is extended by taking the non-stationarity of the mean wind speed and its non-stationary variance into account.

Short-time propagators for nonlinear Fokker-Planck equations

1999 ◽  
Vol 32 (20) ◽  
pp. 3681-3695 ◽  
Author(s):  
J M Donoso ◽  
J J Salgado ◽  
M Soler
Keyword(s):  
Fokker Planck Equations ◽  
Short Time ◽  
Fokker Planck

scholarly journals Multipoint reconstruction of wind speeds

2020 ◽  
Vol 5 (3) ◽  
pp. 1211-1223
Author(s):  
Christian Behnken ◽  
Matthias Wächter ◽  
Joachim Peinke
Keyword(s):  
Wind Speed ◽  
Numerical Solutions ◽  
Mean Value ◽  
Wind Data ◽  
Conditional Probability Density ◽  
Time Dynamics ◽  
Fokker Planck Equations ◽  
Short Time ◽  
Speed Fluctuations ◽  
Fokker Planck

Abstract. The most intermittent behaviour of atmospheric turbulence is found for very short timescales. Based on a concatenation of conditional probability density functions (cpdf's) of nested wind speed increments, inspired by a Markov process in scale, we derive a short-time predictor for wind speed fluctuations around a non-stationary mean value and with a corresponding non-stationary variance. As a new quality this short-time predictor enables a multipoint reconstruction of wind data. The used cpdf's are (1) directly estimated from historical data from the offshore research platform FINO1 and (2) obtained from numerical solutions of a family of Fokker–Planck equations in the scale domain. The explicit forms of the Fokker–Planck equations are estimated from the given wind data. A good agreement between the statistics of the generated and measured synthetic wind speed fluctuations is found even on timescales below 1 s. This shows that our approach captures the short-time dynamics of real wind speed fluctuations very well. Our method is extended by taking the non-stationarity of the mean wind speed and its non-stationary variance into account.

REGULAR STRUCTURE OF LOW-LYING STATES FOR ATOMIC NUCLEI UNDER RANDOM INTERACTIONS

2008 ◽  
Vol 17 (supp01) ◽  
pp. 304-317
Author(s):  
Y. M. ZHAO
Keyword(s):  
Ground State ◽  
Collective Motion ◽  
Regular Structure ◽  
Positive Parity ◽  
Many Body ◽  
Random Interactions ◽  
Atomic Nuclei ◽  
Many Body Systems

In this paper we review regularities of low-lying states for many-body systems, in particular, atomic nuclei, under random interactions. We shall discuss the famous problem of spin zero ground state dominance, positive parity dominance, collective motion, odd-even staggering, average energies, etc., in the presence of random interactions.

scholarly journals Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems

2021 ◽  
Vol 126 (11) ◽  
Author(s):  
Benjamin Geiger ◽  
Juan Diego Urbina ◽  
Klaus Richter
Keyword(s):  
Many Body ◽  
Many Body Systems
Sign in / Sign up

Export Citation Format

Share Document