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Computational and Statistical Physics Approaches for Complex Systems and Social Phenomena, 3rd Edition

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

Deadline for manuscript submissions: 15 June 2025 | Viewed by 2332

Special Issue Editors


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Guest Editor
Department of Physics, Cleveland State University, 2121 Euclid Avenue, Cleveland, OH 44115, USA
Interests: statistical physics; environmental physics; polymers; entropy; mixing; hierarchical and fractal lattices; critical phenomena; phase transitions

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Guest Editor
Levin School of Urban Affairs, Cleveland State University, Cleveland, OH 44115, USA
Interests: public decision processes; consensus building; public participation; environment; sustainability; planning; public policy; negotiations; evaluation; dynamic modeling; regional spatial modeling; international and labor relations; negotiation pedagogy

Special Issue Information

Dear Colleagues,

Understanding social phenomena such politics, economics, social conflicts is challenging not least because these disciplines and domains share several properties of complex systems. They entail numerous interindependent agents interacting through dynamic processes characterized by uncertainty and unpredictability of outcomes, as well as difficulty linking causes to effects. Complex systems are nonlinear, and exhibit self-organization, adaptation, feedback loops, spontaneous order, and emergence. As a consequence, they give rise to “wicked problems”—unanticipated negative consequences of decisions—whose outcomes are difficult to analyze or predict with traditional, discipline-based methodologies. The 2021 Nobel Prize in Physics awarded to Profs. Giorgio Parisi, Suykuro Manabe, and Klaus Hasselmann for their “groundbreaking contributions to our understanding of complex systems” attests to the current focus and promise of methods for studying complexity.

The study of complex social systems requires interdisciplinary approaches, borrowing tools from statistical physics, information theory, and nonlinear dynamics, and applying them to sociology and economics. Statistical physics, in particular, can help overcome some of the obstacles to the study of complex social systems. Statistical physics computational methods have been used in disciplines other than physics, such as biology and neuroscience. By taking advantage of the extremely rapid increase in computational capacity, the applicability of these models has expanded to other social fields. These models have been used in such diverse fields as labor relations, communication through social media, politics, and social polarization. For instance, there have been efforts to apply statistical physics methods to understand and solve current problems such as the social polarization of societies.

For example, trend-based predictions are common in social sciences, and relying on the “all else being equal” linear methods cannot to effectively contend with complex systems. Their results are predictably wrong, except over very short time spans. Decisions based on such predictions are not particularly robust: any deviation of reality from assumptions can seriously undermine decisions based on them. Statistical physics models have been used instead to anticipate possible scenarios for the future. Anticipatory scenarios, increasingly applied in the fields of politics, business, and social and urban planning have enabled decision makers to develop robust strategies for responding to emerging problems, rather than make rigid plans bound to fail.

This Special Issue focuses on investigations of complex social systems using statistical physics simulation methods. These approaches are rooted in analogies between the behaviors of physics particles and the behaviors of human agents interacting in social spaces. We note that such analogies, seldom perfect, challenge the interpretation of physical parameters in terms of human behavior. This challenge is in need of further research.

We invite contributions to this Special Issue from researchers who study complex systems through the use of statistical physics computational methods, such as Monte Carlo simulations. The contributions may be original papers or reviews.

Prof. Dr. Hung T. Diep
Prof. Dr. Miron Kaufman
Prof. Dr. Sanda Kaufman
Guest Editors

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

  • social phenomena
  • complex systems
  • Monte Carlo simulations
  • statistical physics

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Related Special Issue

Published Papers (2 papers)

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Research

15 pages, 1088 KiB  
Article
A Novel Evaluation of Income Class Boundaries Using Inflection Points of Probability Density Functions: A Case Study of Brazil
by Rafael Bittencourt, Hernane Borges de Barros Pereira, Marcelo A. Moret, Ivan C. Da Cunha Lima and Serge Galam
Entropy 2025, 27(2), 186; https://doi.org/10.3390/e27020186 - 12 Feb 2025
Viewed by 612
Abstract
Categorizing a population into different income classes is important for creating effective policies and analyzing markets. Our study develops a statistical method based on a nationwide survey of income distribution. We use these data to create a cumulative distribution function with a metalogistic [...] Read more.
Categorizing a population into different income classes is important for creating effective policies and analyzing markets. Our study develops a statistical method based on a nationwide survey of income distribution. We use these data to create a cumulative distribution function with a metalogistic distribution and its probability density function. We propose a new way to divide the population into income classes by using the inflection points of the probability density function as the class boundaries. As a case study, we apply this method to income data from Brazil between 2012 and 2022. We identify five income classes, with both their boundaries and the distribution of the population changing over time. To check our approach, we calculate the Gini coefficient and find that our results closely match official figures, with a root mean square deviation of less than 1%. By using individual income instead of family income, we avoid distortions caused by the fact that poorer families tend to be larger than wealthier ones. In the end, we identify five main income classes, with their boundaries shifting each year, reflecting the changing nature of income distribution in society. Full article
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19 pages, 13118 KiB  
Article
A Multi-Attribute Decision-Making Approach for Critical Node Identification in Complex Networks
by Xinyun Zhao, Yongheng Zhang, Qingying Zhai, Jinrui Zhang and Lanlan Qi
Entropy 2024, 26(12), 1075; https://doi.org/10.3390/e26121075 - 9 Dec 2024
Cited by 2 | Viewed by 1113
Abstract
Correctly identifying influential nodes in a complex network and implementing targeted protection measures can significantly enhance the overall security of the network. Currently, indicators such as degree centrality, closeness centrality, betweenness centrality, H-index, and K-shell are commonly used to measure node influence. Although [...] Read more.
Correctly identifying influential nodes in a complex network and implementing targeted protection measures can significantly enhance the overall security of the network. Currently, indicators such as degree centrality, closeness centrality, betweenness centrality, H-index, and K-shell are commonly used to measure node influence. Although these indicators can identify critical nodes to some extent, they often consider node attributes from a narrow perspective and have certain limitations. Therefore, evaluating the importance of nodes using most existing indicators remains incomplete. In this paper, we propose the multi-attribute CRITIC-TOPSIS network decision indicator, or MCTNDI, which integrates closeness centrality, betweenness centrality, H-index, and network constraint coefficients to identify critical nodes in a network. This indicator combines information from multiple perspectives, including local neighborhood importance, network topological location, path centrality, and node mutual information, thereby solving the issue of the one-sided perspective of single indicators and providing a more comprehensive measure of node importance. Additionally, MCTNDI is validated through the analysis of several real-world networks, including the Contiguous USA network, Dolphins network, USAir97 network, and Tech-routers-rf network. The validation is conducted from four aspects: the results of simulated network attacks, the distribution of node importance, the monotonicity of rankings, and the similarity of indicators, illustrating MCTNDI’s effectiveness in real networks. Full article
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