Mixing times for the rook’s walk via path coupling

2017 ◽  
Vol 10 (1) ◽  
pp. 51-64
Author(s):  
Cam McLeman ◽  
Peter T. Otto ◽  
John Rahmani ◽  
Matthew Sutter
Keyword(s):  
Mixing Times ◽  
Path Coupling

scholarly journals Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling

2011 ◽  
Vol 144 (5) ◽  
pp. 1009-1027 ◽  
Author(s):  
Yevgeniy Kovchegov ◽  
Peter T. Otto ◽  
Mathew Titus
Keyword(s):  
Mean Field ◽  
Mixing Times ◽  
Path Coupling ◽  
The Mean

Process characteristics of screw impellers with a draught tube for Newtonian liquids. Time of homogenization

1981 ◽  
Vol 46 (9) ◽  
pp. 2032-2042 ◽  
Author(s):  
Pavel Seichter
Keyword(s):  
Flow Regime ◽  
Creeping Flow ◽  
Energy Requirements ◽  
Dimensionless Time ◽  
Mixing Times ◽  
Conductivity Method ◽  
Draught Tube ◽  
Process Characteristics ◽  
Newtonian Liquids

A conductivity method has been used to assess the homogenization efficiency of screw impellers with draught tubes. The value of the criterion of homochronousness, i.e. the dimensionless time of homogenization, in the creeping flow regime of Newtonian liquids is dependent on the geometrical simplexes of the mixing system. In particular, on the ratio of diameters of the vessel and the impeller and on the ratio of the screw lead to the impeller diameter. Expression have been proposed to calculate the mixing times. Efficiency has been examined of individual configurations of screw impellers. The lowest energy requirements for homogenization have been found for the system with the ratio D/d = 2.

scholarly journals RELAXATION OF SPHERICAL SYSTEMS WITH LONG-RANGE INTERACTIONS: A NUMERICAL INVESTIGATION

2011 ◽  
Vol 21 (08) ◽  
pp. 2279-2283 ◽  
Author(s):  
PIERFRANCESCO DI CINTIO ◽  
LUCA CIOTTI
Keyword(s):  
Long Range ◽  
Superposition Principle ◽  
Relaxation Times ◽  
Stellar Dynamics ◽  
Mixing Times ◽  
Spherical Shells ◽  
Phase Mixing ◽  
Long Range Interactions ◽  
System Of Particles ◽  
Classical Gravity

The process of relaxation of a system of particles interacting with long-range forces is relevant to many areas of physics. For obvious reasons, in Stellar Dynamics much attention has been paid to the case of r-2force law. However, recently the interest in alternative gravities has emerged, and significant differences with respect to Newtonian gravity have been found in relaxation phenomena. Here we begin to explore this matter further, by using a numerical model of spherical shells interacting with an r-αforce law obeying the superposition principle. We find that the virialization and phase-mixing times depend on the exponent α, with small values of α corresponding to longer relaxation times, similarly to what happens when comparing for N-body simulations in classical gravity and in Modified Newtonian Dynamics.

scholarly journals The χ2-divergence and mixing times of quantum Markov processes

2010 ◽  
Vol 51 (12) ◽  
pp. 122201 ◽  
Author(s):  
K. Temme ◽  
M. J. Kastoryano ◽  
M. B. Ruskai ◽  
M. M. Wolf ◽  
F. Verstraete
Keyword(s):  
Markov Processes ◽  
Mixing Times ◽  
Quantum Markov Processes

Establishment of a simple method to evaluate mixing times in a plastic bag photobioreactor using image processing based on freeware tools

2021 ◽  
Author(s):  
Michael Sandmann
Keyword(s):  
Image Processing ◽  
Optical Method ◽  
Gas Flow ◽  
Mixing Time ◽  
Pearson Correlation ◽  
Mixing Times ◽  
Simple Method ◽  
Area Of Interest ◽  
Background Removal ◽  
Programming Skills

Abstract Objective The aim of this work was to develop a simple optical method to determine the mixing time in a photobioreactor. The image processing method should be based on freeware tools and should not require programming skills. Results An optical method has been established to analyze images from recorded videos of mixing experiments. The basic steps are: 1. Extraction of a sequence of images from the video file; 2. Cropping of the pictures; 3. Background removal; and 4. Image analysis and mixing time evaluation based on quantification of pixel-to-pixel heterogeneity (standard deviation over pixel intensities) within a given area of interest. The novel method was generally able to track the dependency between aeration rate and mixing time within the investigated photobioreactor. In a direct comparison, a Pearson correlation coefficient of rho = 0.9957 was obtained. Gas flow rates between 10 L h−1, and 300 L h−1 resulted from mixing times of between 48 sec and 14 sec, respectively. This simple technique is applicable even without programming skills and can be used in education within high schools and in early stages of undergraduate programs.

Difference Between Mixing Times Measured with Reversible and Irreversible Reactions

2012 ◽  
Vol 38 (1) ◽  
pp. 19-24
Author(s):  
Shunsuke Hashimoto ◽  
Akitoshi Nishimura ◽  
Yoshiro Inoue
Keyword(s):  
Mixing Times
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