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Entropy, Volume 26, Issue 12

December 2024 - 132 articles

Cover Story: Kinetic theory refers to the physical and mathematical approaches to a systematic deduction of the macroscopic behavior of many-particle systems from first principles, that is, starting from the microscopic equations of motion. This work presents kinetic theory based upon the Landau equation, describing the one-particle function in a weak interaction limit for self-propelled particles with alignment interactions. Self-propelled particles—driven units that break the conservation of momentum on a particle scale—are the epitome of active matter. This paper illustrates such particles that interact with nematic symmetry. The relevant equations can be brought into a diagrammatic form (first three orders are shown), allowing us to quantitatively extract accurate predictions for agent-based simulations. View this paper
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Articles (132)

  • Article
  • Open Access
966 Views
15 Pages

23 December 2024

This study presents a detailed characterization of iterative steganography, a unique class of information-hiding techniques, and proposes a formal mathematical model for their description. A novel quantitative measure, the Incremental Information Fun...

  • Article
  • Open Access
1,583 Views
20 Pages

Transpiling Quantum Assembly Language Circuits to a Qudit Form

  • Denis A. Drozhzhin,
  • Anastasiia S. Nikolaeva,
  • Evgeniy O. Kiktenko and
  • Aleksey K. Fedorov

23 December 2024

In this paper, we introduce the workflow for converting qubit circuits represented by Open Quantum Assembly format (OpenQASM, also known as QASM) into the qudit form for execution on qudit hardware and provide a method for translating qudit experimen...

  • Article
  • Open Access
1 Citations
2,153 Views
18 Pages

Refining the Allostatic Self-Efficacy Theory of Fatigue and Depression Using Causal Inference

  • Alexander J. Hess,
  • Dina von Werder,
  • Olivia K. Harrison,
  • Jakob Heinzle and
  • Klaas Enno Stephan

23 December 2024

Allostatic self-efficacy (ASE) represents a computational theory of fatigue and depression. In brief, it postulates that (i) fatigue is a feeling state triggered by a metacognitive diagnosis of loss of control over bodily states (persistently elevate...

  • Feature Paper
  • Review
  • Open Access
8 Citations
9,615 Views
42 Pages

Applications of Entropy in Data Analysis and Machine Learning: A Review

  • Salomé A. Sepúlveda-Fontaine and
  • José M. Amigó

23 December 2024

Since its origin in the thermodynamics of the 19th century, the concept of entropy has also permeated other fields of physics and mathematics, such as Classical and Quantum Statistical Mechanics, Information Theory, Probability Theory, Ergodic Theory...

  • Article
  • Open Access
1 Citations
2,283 Views
17 Pages

Ornstein–Uhlenbeck Adaptation as a Mechanism for Learning in Brains and Machines

  • Jesús García Fernández,
  • Nasir Ahmad and
  • Marcel van Gerven

22 December 2024

Learning is a fundamental property of intelligent systems, observed across biological organisms and engineered systems. While modern intelligent systems typically rely on gradient descent for learning, the need for exact gradients and complex informa...

  • Article
  • Open Access
1,526 Views
14 Pages

Shannon Entropy Analysis of a Nuclear Fuel Pin Under Deep Burnup

  • Wojciech R. Kubiński,
  • Jan K. Ostrowski and
  • Krzysztof W. Fornalski

22 December 2024

This paper analyzes the behavior of the entropy of a nuclear fuel rod under deep burnup conditions, beyond standard operational ranges, reaching up to 60 years. The evolution of the neutron source distribution in a pressurized water reactor (PWR) fue...

  • Article
  • Open Access
953 Views
23 Pages

22 December 2024

Image segmentation is a crucial task in artificial intelligence fields such as computer vision and medical imaging. While convolutional neural networks (CNNs) have achieved notable success by learning representative features from large datasets, they...

  • Feature Paper
  • Article
  • Open Access
3 Citations
1,692 Views
45 Pages

22 December 2024

The status of the Second Law of Thermodynamics, even in the 21st century, is not as certain as when Arthur Eddington wrote about it a hundred years ago. It is not only about the truth of this law, but rather about its strict and exhaustive formulatio...

  • Article
  • Open Access
1,077 Views
12 Pages

Problem of Existence of Joint Distribution on Quantum Logic

  • Oľga Nánásiová,
  • Karla Čipková and
  • Michal Zákopčan

21 December 2024

This paper deals with the topics of modeling joint distributions on a generalized probability space. An algebraic structure known as quantum logic is taken as the basic model. There is a brief summary of some earlier published findings concerning a f...

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Entropy - ISSN 1099-4300