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Entropy in Particle Systems

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".

Deadline for manuscript submissions: closed (31 December 2021) | Viewed by 4315

Special Issue Editor


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Guest Editor
Department of Chemical and Process Engineering (J2), Faculty of Engineering and Physical Sciences, University of Surrey, Guildford GU2 7XH, UK
Interests: multiscale modelling; machine learning; granular mechanics; discrete element modelling; particle technology; pharmaceutical engineering

Special Issue Information

Dear Colleagues,

Many natural materials and industrial products are made of individual particles that traverse a wide range of length scales, from nanometers to centimeters or larger. The bulk behaviour (i.e., the state) of any complex particle system is a collective representation of the motion of individual particles and their interactions, which is determined by the mechanical and surface properties of individual particles (such as shape, size, elasticity, plasticity, friction and surface energy). Information theory and the concept of entropy were first introduced to describe the state of particle system in 1990s. With the advances in measurement and numerical techniques, such as the discrete element method (DEM), significant progress has been made in understanding the complex behaviour of particle systems at various length scales. These advancements not only enable scientists to explore the link between microscopic and macroscopic behaviours but also provide vast information on particle systems for detailed examination of the transient complex nature of particle systems in many natural and industrial processes. Building upon these advancements, information theory and statistical mechanics form a unique framework to describe the state of these complex systems. It is also argued that the mesoscale attributes of particle systems, such as domain interaction, coherence length scale and transition clusters, govern their transient behaviour, which has attracted increasing attention. 

This Special Issue aims to collect state-of-the-art research on the application of information theory, statistical mechanics, as well as multiscale experimentation and modelling in analysing complex behaviours of particle systems, such as self-organisation, segregation and networks. Theoretical, experimental and numerical contributions dealing with entropy analysis, entropy generation, entropy production and entropy induced re-organisation/segregation in particle systems of various length scales fall within the scope of this Special Issue. Applications of information theory (such as Shannon entropy), machine learning and systems theory (such as artificial intelligence, neural networks) in analysing particle systems are also welcome.

Prof. Dr. Charley Chuan-yu Wu
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • particle systems
  • statistical mechanics
  • entropy production
  • entropy-induced segregation
  • granular temperature
  • mesoscale modelling
  • machine learning

Published Papers (1 paper)

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Review

30 pages, 6086 KiB  
Review
Interfacial Area Transport Equation for Bubble Coalescence and Breakup: Developments and Comparisons
by Huiting Chen, Shiyu Wei, Weitian Ding, Han Wei, Liang Li, Henrik Saxén, Hongming Long and Yaowei Yu
Entropy 2021, 23(9), 1106; https://doi.org/10.3390/e23091106 - 25 Aug 2021
Cited by 12 | Viewed by 3465
Abstract
Bubble coalescence and breakup play important roles in physical-chemical processes and bubbles are treated in two groups in the interfacial area transport equation (IATE). This paper presents a review of IATE for bubble coalescence and breakup to model five bubble interaction mechanisms: bubble [...] Read more.
Bubble coalescence and breakup play important roles in physical-chemical processes and bubbles are treated in two groups in the interfacial area transport equation (IATE). This paper presents a review of IATE for bubble coalescence and breakup to model five bubble interaction mechanisms: bubble coalescence due to random collision, bubble coalescence due to wake entrainment, bubble breakup due to turbulent impact, bubble breakup due to shearing-off, and bubble breakup due to surface instability. In bubble coalescence, bubble size, velocity and collision frequency are dominant. In bubble breakup, the influence of viscous shear, shearing-off, and surface instability are neglected, and their corresponding theory and modelling are rare in the literature. Furthermore, combining turbulent kinetic energy and inertial force together is the best choice for the bubble breakup criterion. The reviewed one-group constitutive models include the one developed by Wu et al., Ishii and Kim, Hibiki and Ishii, Yao and Morel, and Nguyen et al. To extend the IATE prediction capability beyond bubbly flow, two-group IATE is needed and its performance is strongly dependent on the channel size and geometry. Therefore, constitutive models for two-group IATE in a three-type channel (i.e., narrow confined channel, round pipe and relatively larger pipe) are summarized. Although great progress in extending the IATE beyond churn-turbulent flow to churn-annual flow was made, there are still some issues in their modelling and experiments due to the highly distorted interface measurement. Regarded as the challenges to be addressed in the further study, some limitations of IATE general applicability and the directions for future development are highlighted. Full article
(This article belongs to the Special Issue Entropy in Particle Systems)
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