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Entropy, Volume 27, Issue 1

January 2025 - 96 articles

Cover Story: Topological constraints, which are typically given by Casimir invariants, foliate the phase space, so that the thermal equilibrium on a leaf may have a nontrivial distribution reflecting the Jacobian heterogeneity of the symplectic coordinates on the leaf. An example of charged particle dynamics in an inhomogeneous magnetic field leads to a natural interpretation of Casimir invariants as adiabatic invariants. Therefore, the foliation of the phase space corresponds to the coarse-graining of microscopic variables. We construct a kinetic theory in a constrained phase space (infinite-dimensional function space of macroscopic fields) and characterize the self-organized structure as a thermal equilibrium on a leaf of the foliated phase space. View this paper
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Articles (96)

  • Article
  • Open Access
6 Citations
1,979 Views
21 Pages

A Resource-Efficient Multi-Entropy Fusion Method and Its Application for EEG-Based Emotion Recognition

  • Jiawen Li,
  • Guanyuan Feng,
  • Chen Ling,
  • Ximing Ren,
  • Xin Liu,
  • Shuang Zhang,
  • Leijun Wang,
  • Yanmei Chen,
  • Xianxian Zeng and
  • Rongjun Chen

20 January 2025

Emotion recognition is an advanced technology for understanding human behavior and psychological states, with extensive applications for mental health monitoring, human–computer interaction, and affective computing. Based on electroencephalogra...

  • Article
  • Open Access
1 Citations
1,400 Views
20 Pages

Discontinuous Structural Transitions in Fluids with Competing Interactions

  • Ana M. Montero,
  • Santos B. Yuste,
  • Andrés Santos and
  • Mariano López de Haro

20 January 2025

This paper explores how competing interactions in the intermolecular potential of fluids affect their structural transitions. This study employs a versatile potential model with a hard core followed by two constant steps, representing wells or should...

  • Article
  • Open Access
1,013 Views
23 Pages

Novel Ensemble Approach with Incremental Information Level and Improved Evidence Theory for Attribute Reduction

  • Peng Yu,
  • Yifeng Zheng,
  • Ziwen Liu,
  • Baoya Wei,
  • Wenjie Zhang,
  • Ziqiong Lin and
  • Zhehan Li

20 January 2025

With the development of intelligent technology, data in practical applications show exponential growth in quantity and scale. Extracting the most distinguished attributes from complex datasets becomes a crucial problem. The existing attribute reducti...

  • Article
  • Open Access
2 Citations
1,187 Views
26 Pages

20 January 2025

The formation and development of cities are inseparable from a certain scale of water resources. The information contained in the morphological structures of cities and water systems is often overlooked. Exploring the spatiotemporal evolution of wate...

  • Feature Paper
  • Article
  • Open Access
13 Citations
4,035 Views
16 Pages

Maximizing Free Energy Gain

  • Artemy Kolchinsky,
  • Iman Marvian,
  • Can Gokler,
  • Zi-Wen Liu,
  • Peter Shor,
  • Oles Shtanko,
  • Kevin Thompson,
  • David Wolpert and
  • Seth Lloyd

20 January 2025

Maximizing the amount of work harvested from an environment is important for a wide variety of biological and technological processes, from energy-harvesting processes such as photosynthesis to energy storage systems such as fuels and batteries. Here...

  • Article
  • Open Access
1 Citations
1,979 Views
55 Pages

Structured Dynamics in the Algorithmic Agent

  • Giulio Ruffini,
  • Francesca Castaldo and
  • Jakub Vohryzek

19 January 2025

In the Kolmogorov Theory of Consciousness, algorithmic agents utilize inferred compressive models to track coarse-grained data produced by simplified world models, capturing regularities that structure subjective experience and guide action planning....

  • Article
  • Open Access
2 Citations
3,142 Views
27 Pages

18 January 2025

Through its initiative known as the Climate Change Act (2008), the Government of the United Kingdom encourages corporations to enhance their environmental performance with the significant aim of reducing targeted greenhouse gas emissions by the year...

  • Article
  • Open Access
1 Citations
1,443 Views
27 Pages

18 January 2025

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet, identifying the mechanisms that underlie enhanced performance remains challenging, particul...

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,118 Views
14 Pages

Statistical Mechanics of Directed Networks

  • Marián Boguñá and
  • M. Ángeles Serrano

18 January 2025

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources flow within...

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Entropy - ISSN 1099-4300