Statistics of precursors to fingering processes
نویسندگان
چکیده
منابع مشابه
Statistics of precursors to fingering processes
– We present an analysis of the statistical properties of hydrodynamic field fluctuations which reveal the existence of precursors to fingering processes. These precursors are found to exhibit power law distributions, and these power laws are shown to follow from spatial q-Gaussian structures which are solutions to the generalized non-linear diffusion equation. Over the past fifteen years, a no...
متن کاملNonextensive statistics in viscous fingering
Measurements in turbulent flows have revealed that the velocity field in nonequilibrium systems exhibits q-exponential or power law distributions in agreement with theoretical arguments based on nonextensive statistical mechanics. Here we consider Hele-Shaw flow as simulated by the Lattice Boltzmann method and find similar behavior from the analysis of velocity field measurements. For the trans...
متن کاملNonextensive statistics precursors
– We present an analysis of the statistical properties of hydrodynamic field fluctuations which reveal the existence of precursors to fingering processes. These precursors are found to exhibit power law distributions, and these power laws are shown to follow from spatial q-Gaussian structures which are solutions to the non-linear porous media equation. Over the past fifteen years, a nonextensiv...
متن کاملEmpirical Processes with Applications to Statistics
equations as something "which Cauchy never even wrote" is obviously a wrong translation, what was meant being something like "which Cauchy did not write here". I have kept a list of dozens of lesser errors, but at least this translator does not fall to the depths of rendering Abel's famous statement "Cauchy est 'fou' " by "Cauchy is a fool" [3, p. 25]. The presentation of the book is scandalous...
متن کاملBayesian Statistics: Dirichlet Processes
Introduction: A Dirichlet process (DP) is a distribution over probability distributions. We generally think of distributions as defined over numbers of some sort (real numbers, non-negative integers etc.), so at first it may seem a little exotic to talk about distributions over distributions. If you feel that way at this point, one obvious but very reassuring fact that we would like to point ou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2006
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2005-10567-2