scholarly journals Diffusion time-scale invariance, randomization processes, and memory effects in Lennard-Jones liquids

2003 ◽  
Vol 68 (5) ◽  
Author(s):  
Renat M. Yulmetyev ◽  
Anatolii V. Mokshin ◽  
Peter Hänggi
Keyword(s):  
Time Scale ◽  
Scale Invariance ◽  
Diffusion Time ◽  
Memory Effects ◽  
Lennard Jones

UNIVERSAL MULTIFRACTAL CHARACTERIZATION AND SIMULATION OF SPEECH

1992 ◽  
Vol 02 (03) ◽  
pp. 715-719
Author(s):  
CHRIS LARNDER ◽  
NICOLAS DESAULNIERS-SOUCY ◽  
SHAUN LOVEJOY ◽  
DANIEL SCHERTZER ◽  
CLAUDE BRAUN ◽  
...  
Keyword(s):  
Time Scale ◽  
Scale Invariance ◽  
Characteristic Time ◽  
Low Frequency ◽  
Characteristic Time Scale ◽  
Low Frequencies ◽  
Universal Behavior ◽  
Nonlinear Mixing

In the 1970's it was found that; for low frequencies (<10 Hz), speech is scaling: it has no characteristic time scale. Now such scale invariance is associated with multiscaling statistics, and multifractal structures. Just as Gaussian noises frequently arise because they are generically produced by sums of many independent noise processes, scaling noises have an analogous universal behavior arising from nonlinear mixing of processes. We show that low frequency speech is consistent with these ideas, and use the measured parameters to produce stochastic speech simulations which are strikingly similar to real speech.

Estimation of formation temperature from bottom‐hole temperature measurements: COST ♯1 well, Norton Sound, Alaska

Geophysics ◽  
1988 ◽  
Vol 53 (12) ◽  
pp. 1619-1621 ◽  
Author(s):  
S. Cao ◽  
C. Hermanrud ◽  
I. Lerche
Keyword(s):  
Thermal Conductivity ◽  
Numerical Method ◽  
Time Scale ◽  
Efficiency Factor ◽  
Diffusion Time ◽  
Formation Temperature ◽  
Temperature Estimation ◽  
Bottom Hole ◽  
Free Parameters ◽  
Borehole Temperature

We recently developed a numerical method, the Formation Temperature Estimation (FTE) model, to determine formation temperatures by inversion of borehole temperature (BHT) measurements (Cao et al., 1988a). For more than two BHT measurements, the FTE model can estimate (1) true formation temperature [Formula: see text], (2) mud temperature [Formula: see text] at the time the mud circulation stops, (3) thermal invasion distance R into the formation before the formation is at the true formation temperature, (4) formation thermal conductivity K perpendicular to the borehole, and (5) efficiency factor F for mud heating in the borehole after mud circulation has stopped. The method optimizes three free parameters: τ (diffusion time‐scale), ε (scaling parameter related to the thermal invasion distance R), and [Formula: see text] (normalized efficiency factor for mud heating.

Time‐Scale Invariance in Transport and Relaxation

Physics Today ◽  
1991 ◽  
Vol 44 (1) ◽  
pp. 26-34 ◽  
Author(s):  
Harvey Scher ◽  
Michael F. Shlesinger ◽  
John T. Bendler
Keyword(s):  
Time Scale ◽  
Scale Invariance

scholarly journals On time scale invariance of random walks in confined space

2015 ◽  
Vol 367 ◽  
pp. 230-245 ◽  
Author(s):  
Daniel Bearup ◽  
Sergei Petrovskii
Keyword(s):  
Random Walks ◽  
Time Scale ◽  
Scale Invariance ◽  
Confined Space

scholarly journals Evidence for complex fixed points in pandemic data

2020 ◽  
Author(s):  
Giacomo Cacciapaglia ◽  
Francesco Sannino
Keyword(s):  
Fixed Points ◽  
Time Scale ◽  
Paradigm Shift ◽  
Scale Invariance ◽  
Linear Growth ◽  
Epidemiological Data ◽  
Group Approach ◽  
Multiple Wave ◽  
Wave Dynamics ◽  
Symmetry Principles

Abstract Epidemic data show the existence of a region of quasi-linear growth (strolling period) of infected cases extending in between waves. We demonstrate that this constitutes evidence for the existence of near time-scale invariance that is neatly encoded via complex fixed points in the epidemic Renormalisation Group approach. As a result we achieve a deeper understanding of multiple wave dynamics and its inter-wave strolling regime. Our results are tested and calibrated against the COVID-19 pandemic data. Because of the simplicity of our approach that is organised around symmetry principles our discovery amounts to a paradigm shift in the way epidemiological data are mathematically modelled.

Molecular Dynamics Simulation of Homogeneous Nucleation in a Lennard Jones Liquid

2008 ◽  
Author(s):  
Aneet D. Narendra ◽  
Abhijit Mukherjee
Keyword(s):  
Molecular Dynamics ◽  
Distribution Function ◽  
Molecular Dynamics Simulation ◽  
Time Scale ◽  
Homogeneous Nucleation ◽  
Life Time ◽  
Dynamics Simulation ◽  
Lennard Jones ◽  
Different Temperatures ◽  
Laboratory Time

Examination of metastable states of fluids provides important information pertinent to cavitation and homogeneous nucleation. Homogeneous nucleation, in particular, is an important topic of research. Molecular Dynamics simulation is a well-endorsed method to simulate metastabilitites, as they are limited to mesoscopic scales of length and time and this life-time is essentially zero on a laboratory time scale. In the present study, a molecular dynamics code has been used in conjunction with MOLDY to investigate phase change in a Lennard-Jones liquid. The Lennard-Jones atoms were subjected to different temperatures at various number densities and the pressure was recorded for each case. The appearance of a change of phase is characterized by the formation of clusters or formation of voids as described by the radial distribution function.

Sign in / Sign up

Export Citation Format

Share Document