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Entropy 2017, 19(10), 525;

On Entropy Dynamics for Active “Living” Particles

Department of Mathematics, Faculty Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Author to whom correspondence should be addressed.
Received: 13 September 2017 / Revised: 20 September 2017 / Accepted: 28 September 2017 / Published: 2 October 2017
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
Full-Text   |   PDF [209 KB, uploaded 25 October 2017]


This paper presents a modeling approach, followed by entropy calculations of the dynamics of large systems of interacting active particles viewed as living—hence, complex—systems. Active particles are partitioned into functional subsystems, while their state is modeled by a discrete scalar variable, while the state of the overall system is defined by a probability distribution function over the state of the particles. The aim of this paper consists of contributing to a further development of the mathematical kinetic theory of active particles. View Full-Text
Keywords: living systems; entropy; statistical dynamics; active particles; kinetic theory living systems; entropy; statistical dynamics; active particles; kinetic theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Elaiw, A.; Alghamdi, M.; Bellomo, N. On Entropy Dynamics for Active “Living” Particles. Entropy 2017, 19, 525.

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