Phase behaviour and dynamical features of a two-dimensional binary mixture of active/passive spherical particles

Soft Matter ◽  
2020 ◽  
Vol 16 (5) ◽  
pp. 1162-1169
Author(s):  
Diego Rogel Rodriguez ◽  
Francisco Alarcon ◽  
Raul Martinez ◽  
Jorge Ramírez ◽  
Chantal Valeriani
Keyword(s):  
Binary Mixture ◽  
Phase Behaviour ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Brownian Particles ◽  
Dynamical Features ◽  
Bidimensional Mixtures

In this work we have characterized the phase behaviour and the dynamics of bidimensional mixtures of active and passive Brownian particles.

Phase behaviour of a two-dimensional Lennard-Jones binary mixture

2002 ◽  
Vol 4 (6) ◽  
pp. 909-913
Author(s):  
Osvaldo H. Scalise ◽  
Moises Silbert
Keyword(s):  
Binary Mixture ◽  
Phase Behaviour ◽  
Two Dimensional ◽  
Lennard Jones

scholarly journals Characterization of MIPS in a suspension of repulsive active Brownian particles through dynamical features

2021 ◽  
Vol 154 (16) ◽  
pp. 164901
Author(s):  
José Martin-Roca ◽  
Raul Martinez ◽  
Lachlan C. Alexander ◽  
Angel Luis Diez ◽  
Dirk G. A. L. Aarts ◽  
...  
Keyword(s):  
Brownian Particles ◽  
Dynamical Features

scholarly journals Derivation of Equations for a Size Distribution of Spherical Particles in Non-Transparent Materials

2021 ◽  
Vol 5 (4) ◽  
pp. 53-60
Author(s):  
Daniel Gurgul ◽  
Andriy Burbelko ◽  
Tomasz Wiktor
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Size Distribution ◽  
Density Function ◽  
Cross Section ◽  
Three Dimensional ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Mathematical Formulas ◽  
Transparent Materials

This paper presents a new proposition on how to derive mathematical formulas that describe an unknown Probability Density Function (PDF3) of the spherical radii (r3) of particles randomly placed in non-transparent materials. We have presented two attempts here, both of which are based on data collected from a random planar cross-section passed through space containing three-dimensional nodules. The first attempt uses a Probability Density Function (PDF2) the form of which is experimentally obtained on the basis of a set containing two-dimensional radii (r2). These radii are produced by an intersection of the space by a random plane. In turn, the second solution also uses an experimentally obtained Probability Density Function (PDF1). But the form of PDF1 has been created on the basis of a set containing chord lengths collected from a cross-section.The most important finding presented in this paper is the conclusion that if the PDF1 has proportional scopes, the PDF3 must have a constant value in these scopes. This fact allows stating that there are no nodules in the sample space that have particular radii belonging to the proportional ranges the PDF1.

Two-Dimensional Self-Assembly of Spherical Particles Using a Liquid Mold and Its Drying Process

Langmuir ◽  
2003 ◽  
Vol 19 (13) ◽  
pp. 5179-5183 ◽  
Author(s):  
Y. Masuda ◽  
K. Tomimoto ◽  
K. Koumoto
Keyword(s):  
Self Assembly ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Drying Process

Axial segregation of a binary mixture in a rotating tumbler with non-spherical particles: Experiments and DEM model validation

2017 ◽  
Vol 306 ◽  
pp. 120-129 ◽  
Author(s):  
Riccardo Maione ◽  
Sébastien Kiesgen De Richter ◽  
Guillain Mauviel ◽  
Gabriel Wild
Keyword(s):  
Binary Mixture ◽  
Model Validation ◽  
Spherical Particles ◽  
Axial Segregation ◽  
Rotating Tumbler ◽  
Dem Model

scholarly journals Mixing and demixing of binary mixtures of polar chiral active particles

Soft Matter ◽  
2018 ◽  
Vol 14 (21) ◽  
pp. 4388-4395 ◽  
Author(s):  
Bao-quan Ai ◽  
Zhi-gang Shao ◽  
Wei-rong Zhong
Keyword(s):  
Binary Mixture ◽  
Boundary Conditions ◽  
Binary Mixtures ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Two Dimensional ◽  
Active Particles

We study a binary mixture of polar chiral (counterclockwise or clockwise) active particles in a two-dimensional box with periodic boundary conditions.

COMMON DYNAMICAL FEATURES OF PERIODICALLY DRIVEN STRICTLY DISSIPATIVE OSCILLATORS

1993 ◽  
Vol 03 (03) ◽  
pp. 703-715 ◽  
Author(s):  
ULRICH PARLITZ
Keyword(s):  
Periodic Orbits ◽  
Parameter Space ◽  
Nonlinear Oscillators ◽  
Two Dimensional ◽  
Topological Properties ◽  
Basic Pattern ◽  
Bifurcation Structure ◽  
Periodically Driven ◽  
Dynamical Features ◽  
The Way

Periodically driven strictly dissipative nonlinear oscillators in general possess a recurring bifurcation structure in parameter space. It consists of slightly modified versions of a basic pattern of bifurcation curves that was found to be essentially the same for many different oscillators. The periodic orbits involved in these bifurcation scenarios also possess common topological properties characterized in terms of their torsion numbers and the way they are connected when parameters are varied. In this paper, this typical bifurcation structure of periodically driven strictly dissipative oscillators will be presented and discussed in terms of examples from Duffing’s equation. Furthermore a family of two-dimensional maps is given that models (strictly) dissipative oscillators and shows essential features of the bifurcation pattern found.

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