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Entropy
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New Challenges in Contemporary Statistical Physics
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New Challenges in Contemporary Statistical Physics

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

Deadline for manuscript submissions: closed (31 March 2025) | Viewed by 4818

Special Issue Editors

Dr. Sergio Luiz E. F. Da Silva

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Guest Editor
1. Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, 10129 Torino, Italy
2. GISIS, Geoscience Institute, Fluminense Federal University, Niterói 24210-346, RJ, Brazil
Interests: geophysics; statistical physics; image processing; inverse problems; data analysis
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Giorgio Kaniadakis

E-Mail Website
Guest Editor
Dipartimento di Scienza Applicata e Tecnologia, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
Interests: entropy; statistical physics; foundation of statistical mechanics; complex systems
Special Issues, Collections and Topics in MDPI journals
Dr. Antonio M. Scarfone

E-Mail Website
Guest Editor
Complex Systems Institute, Consiglio Nazionale delle Ricerche, 7-00185 Roma, Italy
Interests: non-extensive statistical mechanics; nonlinear Fokker–Planck equations; information geometry; nonlinear Schrödinger equation; quantum groups and quantum algebras; complex systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

As we navigate the landscape of statistical physics, new questions emerge that inspire and drive technological and scientific progress. The growing interest in understanding collective emergence, nonlinear patterns, and critical and non-equilibrium phenomena in complex and disordered systems continues to pose a major challenge. Exploring the theoretical foundations of statistical physics, we face applying these principles to new domains such as molecular biology, nanotechnology, machine learning and information theory, data science, and social systems. A profound understanding of correlations, phase transitions, and thermodynamic properties in unconventional contexts is essential for advancing toward innovative solutions.

This Special Issue aims to gather excellent reviews and original research papers that deal with current problems in statistical physics. We encourage critical works that broadly address the mathematical aspects and theoretical underpinnings of classical, quantum, and relativistic statistical physics applied to the analysis of complex systems focused on, but not limited to, the following research areas:

  • Entropies and correlations in complex systems;
  • Generalized statistical mechanics;
  • Plasma physics;
  • Holographic and other cosmologically relevant entropies;
  • Quantum long-range systems;
  • Spin glass theory;
  • Renormalization groups;
  • Nonintegrable many-body systems;
  • Fluctuations in physics;
  • Role of machine learning in statistical physics;
  • Complex Networks;
  • Data science;
  • Climate environments;
  • Biophysical systems;
  • Econophysics.

Dr. Sergio Luiz E. F. Da Silva
Prof. Dr. Giorgio Kaniadakis
Dr. Antonio M. Scarfone
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

  • statistical physics
  • criticality
  • collective emergence
  • nonlinear dynamics
  • complex and disordered systems
  • information theory
  • thermodynamics

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (4 papers)

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Research

17 pages, 9977 KiB  
Article
Statistical Properties of Correlated Semiclassical Bands in Tight-Binding Small-World Networks
by Natalya Almazova, Giorgos P. Tsironis and Efthimios Kaxiras
Entropy 2025, 27(4), 420; https://doi.org/10.3390/e27040420 - 12 Apr 2025
Viewed by 137
Abstract
Linear tight-binding models with long-range interactions and small-world geometry have a broad energy spectrum in the nearest neighbor coupling limit, while the spectrum becomes narrow in the fully connected limit due to the emergence of flat bands. A transition to a Wigner-like density [...] Read more.
Linear tight-binding models with long-range interactions and small-world geometry have a broad energy spectrum in the nearest neighbor coupling limit, while the spectrum becomes narrow in the fully connected limit due to the emergence of flat bands. A transition to a Wigner-like density of states appears at a low fraction of long-range bonds. Adding nonlinearity to the model introduces correlations among the stationary states, while multiple new states are generated as a result of the nonlinearity. In this work, we study the effect of band correlations on the local density of states for small-world networks as a function of the number of long-range bonds. We find that close to the nearest neighbor limit, the onset of correlations shifts the nonlinear density of states towards the band edge of the spectrum. Close to the opposite limit of the fully connected model, the band collapses in the band center, accompanied by a large increase in the new states induced by the nonlinearity. While in both limits the effect of correlations is to flatten the band, close to the mean field fully connected limit, the states are correlated and generally have distinct localized features. These effects may have implications for the dynamics of electrons in two-dimensional moiré structures and the onset of superconductivity in these systems. Full article
(This article belongs to the Special Issue New Challenges in Contemporary Statistical Physics)
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21 pages, 2325 KiB  
Article
Superstatistics Applied to Cucurbitaceae DNA Sequences
by M. O. Costa, R. Silva, M. M. F. de Lima and D. H. A. L. Anselmo
Entropy 2024, 26(10), 819; https://doi.org/10.3390/e26100819 - 25 Sep 2024
Viewed by 881
Abstract
The short and long statistical correlations are essential in the genomic sequence. Such correlations are long-range for introns, whereas, for exons, these are short. In this study, we employed superstatistics to investigate correlations and fluctuations in the distribution of nucleotide sequence lengths of [...] Read more.
The short and long statistical correlations are essential in the genomic sequence. Such correlations are long-range for introns, whereas, for exons, these are short. In this study, we employed superstatistics to investigate correlations and fluctuations in the distribution of nucleotide sequence lengths of the Cucurbitaceae family. We established a time series for exon sizes to probe these correlations and fluctuations. We used data from the National Center for Biotechnology Information (NCBI) gene database to extract the temporal evolution of exon sizes, measured in terms of the number of base pairs (bp). To assess the model’s viability, we utilized a timescale extraction method to determine the statistical properties of our time series, including the local distribution and fluctuations, which provide the exon size distributions based on the q-Gamma and inverse q-Gamma distributions. From the Bayesian statistics standpoint, both distributions are excellent for capturing the correlations and fluctuations from the data. Full article
(This article belongs to the Special Issue New Challenges in Contemporary Statistical Physics)
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23 pages, 10162 KiB  
Article
Targeted Energy Transfer Dynamics and Chemical Reactions
by Natalya Almazova, Serge Aubry and Giorgos P. Tsironis
Entropy 2024, 26(9), 753; https://doi.org/10.3390/e26090753 - 2 Sep 2024
Cited by 1 | Viewed by 1183
Abstract
Ultrafast reaction processes take place when resonant features of nonlinear model systems are taken into account. In the targeted energy or electron transfer dimer model this is accomplished through the implementation of nonlinear oscillators with opposing types of nonlinearities, one attractive while the [...] Read more.
Ultrafast reaction processes take place when resonant features of nonlinear model systems are taken into account. In the targeted energy or electron transfer dimer model this is accomplished through the implementation of nonlinear oscillators with opposing types of nonlinearities, one attractive while the second repulsive. In the present work, we show that this resonant behavior survives if we take into account the vibrational degrees of freedom as well. After giving a summary of the basic formalism of chemical reactions we show that resonant electron transfer can be assisted by vibrations. We find the condition for this efficient transfer and show that in the case of additional interaction with noise, a distinct non-Arrhenius behavior develops that is markedly different from the usual Kramers-like activated transfer. Full article
(This article belongs to the Special Issue New Challenges in Contemporary Statistical Physics)
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23 pages, 3863 KiB  
Article
Weighted Signed Networks Reveal Interactions between US Foreign Exchange Rates
by Leixin Yang, Haiying Wang, Changgui Gu and Huijie Yang
Entropy 2024, 26(2), 161; https://doi.org/10.3390/e26020161 - 12 Feb 2024
Cited by 1 | Viewed by 1611
Abstract
Correlations between exchange rates are valuable for illuminating the dynamics of international trade and the financial dynamics of countries. This paper explores the changing interactions of the US foreign exchange market based on detrended cross-correlation analysis. First, we propose an objective way to [...] Read more.
Correlations between exchange rates are valuable for illuminating the dynamics of international trade and the financial dynamics of countries. This paper explores the changing interactions of the US foreign exchange market based on detrended cross-correlation analysis. First, we propose an objective way to choose a time scale parameter appropriate for comparing different samples by maximizing the summed magnitude of all DCCA coefficients. We then build weighted signed networks under this optimized time scale, which can clearly display the complex relationships between different exchange rates. Our study shows negative cross-correlations have become pyramidally rare in the past three decades. Both the number and strength of positive cross-correlations have grown, paralleling the increase in global interconnectivity. The balanced strong triads are identified subsequently after the network centrality analysis. Generally, while the strong development links revealed by foreign exchange have begun to spread to Asia since 2010, Europe is still the center of world finance, with the euro and Danish krone consistently maintaining the closest balanced development relationship. Finally, we propose a fluctuation propagation algorithm to investigate the propagation pattern of fluctuations in the inferred exchange rate networks. The results show that, over time, fluctuation propagation patterns have become simpler and more predictable. Full article
(This article belongs to the Special Issue New Challenges in Contemporary Statistical Physics)
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