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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)

  • Feature Paper
  • Article
  • Open Access
2 Citations
1,073 Views
22 Pages

18 January 2025

In this paper, we construct q-ary codes for correcting a burst of at most t deletions, where t,q≥2 are arbitrarily fixed positive integers. We consider two scenarios of error correction: the classical error correcting codes, which recover each cod...

  • Article
  • Open Access
4 Citations
1,457 Views
24 Pages

Image Encryption Method Based on Three-Dimensional Chaotic Systems and V-Shaped Scrambling

  • Lei Wang,
  • Wenjun Song,
  • Jiali Di,
  • Xuncai Zhang and
  • Chengye Zou

17 January 2025

With the increasing importance of securing images during network transmission, this paper introduces a novel image encryption algorithm that integrates a 3D chaotic system with V-shaped scrambling techniques. The proposed method begins by constructin...

  • Article
  • Open Access
2 Citations
3,603 Views
21 Pages

17 January 2025

Accurate forecasting of stock market indices is crucial for investors, financial analysts, and policymakers. The integration of encoder and decoder architectures, coupled with an attention mechanism, has emerged as a powerful approach to enhance pred...

  • Article
  • Open Access
3 Citations
1,306 Views
27 Pages

17 January 2025

The co-gasification of biomass and plastic waste offers a promising solution for producing hydrogen-rich syngas, addressing the rising demand for cleaner energy. However, optimizing this complex process to maximize hydrogen yield remains challenging,...

  • Article
  • Open Access
2 Citations
2,028 Views
17 Pages

17 January 2025

This paper selects daily stock market trading data of RCEP member countries from 3 December 2007 to 9 December 2024 and employs the Time-Varying Parameter Vector Autoregression (TVP-VAR) model and transfer entropy to measure the time-varying volatili...

  • Article
  • Open Access
4 Citations
1,242 Views
17 Pages

Bidimensional Increment Entropy for Texture Analysis: Theoretical Validation and Application to Colon Cancer Images

  • Muqaddas Abid,
  • Muhammad Suzuri Hitam,
  • Rozniza Ali,
  • Hamed Azami and
  • Anne Humeau-Heurtier

17 January 2025

Entropy algorithms are widely applied in signal analysis to quantify the irregularity of data. In the realm of two-dimensional data, their two-dimensional forms play a crucial role in analyzing images. Previous works have demonstrated the effectivene...

  • Article
  • Open Access
1 Citations
1,924 Views
18 Pages

17 January 2025

Accurate Remaining Useful Life (RUL) prediction is vital for effective prognostics in and the health management of industrial equipment, particularly under varying operational conditions. Existing approaches to multi-condition RUL prediction often tr...

  • Article
  • Open Access
2 Citations
1,161 Views
17 Pages

17 January 2025

A notable feature of systems with non-Hermitian skin effects is the sensitivity to boundary conditions. In this work, we introduce one type of boundary condition provided by a coupling impurity. We consider a system where a two-level system as an imp...

  • Article
  • Open Access
1,205 Views
17 Pages

16 January 2025

This paper focuses on differentiating between ideal and non-ideal chemical systems based on their kinetic behavior within a closed isothermal chemical environment. Non-ideality is examined using the non-ideal Marcelin–de Donde model. The analys...

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Entropy - ISSN 1099-4300