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Entropy, Volume 23, Issue 2

2021 February - 132 articles

Cover Story: Viruses do not maintain homeostasis and depend on the environment. They prefer aqueous environments because the information life-cycle of a virus is dominated by entropic hydrophobic forces that are needed for self-assembly. This makes viruses similar to macroscale objects, such as liquid marbles, and enables their study using novel droplet cluster technology. View this paper
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Articles (132)

  • Article
  • Open Access
6 Citations
3,146 Views
18 Pages

Statistical Assessment of Discrimination Capabilities of a Fractional Calculus Based Image Watermarking System for Gaussian Watermarks

  • Mario Gonzalez-Lee,
  • Hector Vazquez-Leal,
  • Luis J. Morales-Mendoza,
  • Mariko Nakano-Miyatake,
  • Hector Perez-Meana and
  • Juan R. Laguna-Camacho

23 February 2021

In this paper, we explore the advantages of a fractional calculus based watermarking system for detecting Gaussian watermarks. To reach this goal, we selected a typical watermarking scheme and replaced the detection equation set by another set of equ...

(This article belongs to the Special Issue Fractional Calculus and the Future of Science)
  • Article
  • Open Access
10 Citations
7,181 Views
29 Pages

23 February 2021

We present here a somewhat personalized account of the emergence of econophysics as an attractive research topic in physical, as well as social, sciences. After a rather detailed storytelling about our endeavors from Kolkata, we give a brief descript...

(This article belongs to the Special Issue Three Risky Decades: A Time for Econophysics?)
  • Article
  • Open Access
4 Citations
3,714 Views
34 Pages

23 February 2021

In this work we propose a model for open Markov chains that can be interpreted as a system of non-interacting particles evolving according to the rules of a Markov chain. The number of particles in the system is not constant, because we allow the par...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
20 Citations
6,552 Views
15 Pages

23 February 2021

The accurate classification of microbes is critical in today’s context for monitoring the ecological balance of a habitat. Hence, in this research work, a novel method to automate the process of identifying microorganisms has been implemented. To ext...

(This article belongs to the Special Issue Advances in Image Fusion)
  • Article
  • Open Access
40 Citations
4,215 Views
17 Pages

Security Analysis of a Color Image Encryption Algorithm Using a Fractional-Order Chaos

  • Heping Wen,
  • Chongfu Zhang,
  • Lan Huang,
  • Juxin Ke and
  • Dongqing Xiong

23 February 2021

Fractional-order chaos has complex dynamic behavior characteristics, so its application in secure communication has attracted much attention. Compared with the design of fractional-order chaos-based cipher, there are fewer researches on security anal...

(This article belongs to the Special Issue Entropy in Image Analysis III)
  • Article
  • Open Access
39 Citations
4,009 Views
27 Pages

23 February 2021

A rolling bearing early fault diagnosis method is proposed in this paper, which is derived from a refined composite multi-scale approximate entropy (RCMAE) and improved coyote optimization algorithm based probabilistic neural network (ICOA-PNN) algor...

  • Review
  • Open Access
44 Citations
5,770 Views
25 Pages

A Review of Key Technologies and Trends in the Development of Integrated Heating and Power Systems in Agriculture

  • Xueqian Fu,
  • Yazhong Zhou,
  • Feifei Yang,
  • Lingxi Ma,
  • Hai Long,
  • Yujie Zhong and
  • Peng Ni

23 February 2021

Petroleum agriculture, characterized by mechanization and chemistry, is developing rapidly in China. However, petroleum agriculture has not only brought food safety problems, but also caused great obstacles to the sustainable development of society....

(This article belongs to the Section Thermodynamics)
  • Review
  • Open Access
41 Citations
13,041 Views
48 Pages

22 February 2021

Generally, industrial gas turbines (IGT) face transient behavior during start-up, load change, shutdown and variations in ambient conditions. These transient conditions shift engine thermal equilibrium from one steady state to another steady state. I...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
3 Citations
6,135 Views
30 Pages

22 February 2021

This is a dialogue between Huw Price and Travis Norsen, loosely inspired by a letter that Price received from J. S. Bell in 1988. The main topic of discussion is Bell’s views about retrocausal approaches to quantum theory and their relevance to conte...

(This article belongs to the Special Issue Quantum Theory and Causation)
  • Article
  • Open Access
2 Citations
3,424 Views
12 Pages

Dephasing Process of a Single Atom Interacting with a Two-Mode Field

  • Eied M. Khalil,
  • Kamal Berrada,
  • Sayed Abdel-Khalek,
  • Beida Alsubei and
  • Hichem Eleuch

22 February 2021

We consider the interaction of a qubit system with a two-mode field in the presence of multi-photon transition and phase damping effect. We use the master equation to obtain the density operator when the qubit is initially prepared in its excited sta...

(This article belongs to the Special Issue Quantum Mechanics and Its Foundations)
  • Article
  • Open Access
5 Citations
3,446 Views
16 Pages

Error Exponents of LDPC Codes under Low-Complexity Decoding

  • Pavel Rybin,
  • Kirill Andreev and
  • Victor Zyablov

22 February 2021

This paper deals with the specific construction of binary low-density parity-check (LDPC) codes. We derive lower bounds on the error exponents for these codes transmitted over the memoryless binary symmetric channel (BSC) for both the well-known maxi...

(This article belongs to the Special Issue Information Theory for Channel Coding)
  • Article
  • Open Access
3 Citations
3,276 Views
22 Pages

Robust Multi-Objective Optimization for Response Surface Models Applied to Direct Low-Value Natural Gas Conversion Processes

  • Luiz Célio S. Rocha,
  • Mariana S. Rocha,
  • Paulo Rotella Junior,
  • Giancarlo Aquila,
  • Rogério S. Peruchi,
  • Karel Janda and
  • Rômulo O. Azevêdo

21 February 2021

The high proportion of CO2/CH4 in low aggregated value natural gas compositions can be used strategically and intelligently to produce more hydrocarbons through oxidative methane coupling (OCM). The main goal of this study was to optimize direct low-...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
9 Citations
4,909 Views
22 Pages

Exploiting Superpixels for Multi-Focus Image Fusion

  • Areeba Ilyas,
  • Muhammad Shahid Farid,
  • Muhammad Hassan Khan and
  • Marcin Grzegorzek

21 February 2021

Multi-focus image fusion is the process of combining focused regions of two or more images to obtain a single all-in-focus image. It is an important research area because a fused image is of high quality and contains more details than the source imag...

(This article belongs to the Special Issue Advances in Image Fusion)
  • Article
  • Open Access
3 Citations
3,647 Views
15 Pages

Application of a Statistical and Linear Response Theory to Multi-Ion Na+ Conduction in NaChBac

  • William A. T. Gibby,
  • Olena A. Fedorenko,
  • Carlo Guardiani,
  • Miraslau L. Barabash,
  • Thomas Mumby,
  • Stephen K. Roberts,
  • Dmitry G. Luchinsky and
  • Peter V. E. McClintock

21 February 2021

Biological ion channels are fundamental to maintaining life. In this manuscript we apply our recently developed statistical and linear response theory to investigate Na+ conduction through the prokaryotic Na+ channel NaChBac. This work is extended th...

(This article belongs to the Special Issue Physics of Ionic Conduction in Narrow Biological and Artificial Channels)
  • Article
  • Open Access
3 Citations
3,373 Views
21 Pages

20 February 2021

Network physiology has emerged as a promising paradigm for the extraction of clinically relevant information from physiological signals by moving from univariate to multivariate analysis, allowing for the inspection of interdependencies between organ...

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
7 Citations
3,113 Views
9 Pages

20 February 2021

Multiscale sample entropy analysis has been developed to quantify the complexity and the predictability of a time series, originally developed for physiological time series. In this study, the analysis was applied to the turbulence data. We measured...

(This article belongs to the Special Issue Multiscale Entropy Approaches and Their Applications II)
  • Article
  • Open Access
24 Citations
3,889 Views
28 Pages

20 February 2021

In this work, methods of description of crystal nucleation by using the statistical approach are analyzed. Findings from classical nucleation theory (CNT) for the average time of formation of the first supercritical nucleus are linked with experiment...

(This article belongs to the Special Issue Crystallization Thermodynamics)
  • Article
  • Open Access
19 Citations
3,713 Views
19 Pages

Misalignment Fault Diagnosis for Wind Turbines Based on Information Fusion

  • Yancai Xiao,
  • Jinyu Xue,
  • Long Zhang,
  • Yujia Wang and
  • Mengdi Li

20 February 2021

Most conventional wind turbine fault diagnosis techniques only use a single type of signal as fault feature and their performance could be limited to such signal characteristics. In this paper, multiple types of signals including vibration, temperatu...

(This article belongs to the Special Issue Information Theory and Its Application in Machine Condition Monitoring)
  • Article
  • Open Access
15 Citations
14,923 Views
17 Pages

19 February 2021

The Free Energy Principle (FEP) is currently one of the most promising frameworks with which to address a unified explanation of life-related phenomena. With powerful formalism that embeds a small set of assumptions, it purports to deal with complex...

(This article belongs to the Section Entropy and Biology)
  • Article
  • Open Access
15 Citations
3,843 Views
12 Pages

19 February 2021

Obtaining key and rich visual information under sophisticated road conditions is one of the key requirements for advanced driving assistance. In this paper, a newfangled end-to-end model is proposed for advanced driving assistance based on the fusion...

(This article belongs to the Special Issue Advances in Image Fusion)
  • Feature Paper
  • Article
  • Open Access
4 Citations
3,084 Views
17 Pages

Threshold Computation for Spatially Coupled Turbo-Like Codes on the AWGN Channel

  • Muhammad Umar Farooq,
  • Alexandre Graell i Amat and
  • Michael Lentmaier

19 February 2021

In this paper, we perform a belief propagation (BP) decoding threshold analysis of spatially coupled (SC) turbo-like codes (TCs) (SC-TCs) on the additive white Gaussian noise (AWGN) channel. We review Monte-Carlo density evolution (MC-DE) and efficie...

(This article belongs to the Special Issue Information Theory for Channel Coding)
  • Article
  • Open Access
5 Citations
3,804 Views
24 Pages

Investigation of Ring and Star Polymers in Confined Geometries: Theory and Simulations

  • Joanna Halun,
  • Pawel Karbowniczek,
  • Piotr Kuterba and
  • Zoriana Danel

19 February 2021

The calculations of the dimensionless layer monomer density profiles for a dilute solution of phantom ideal ring polymer chains and star polymers with f=4 arms in a Θ-solvent confined in a slit geometry of two parallel walls with repulsive surfaces a...

(This article belongs to the Special Issue Selected Papers from 45th Conference of the Middle European Cooperation in Statistical Physics)
  • Article
  • Open Access
2 Citations
3,786 Views
18 Pages

19 February 2021

The Sigma-Pi structure investigated in this work consists of the sum of products of an increasing number of identically distributed random variables. It appears in stochastic processes with random coefficients and also in models of growth of entities...

  • Article
  • Open Access
12 Citations
4,322 Views
21 Pages

Transmitter Diversity Gain Technique Aided Irregular Channel Coding for Mobile Video Transmission

  • Nasru Minallah,
  • Khadem Ullah,
  • Jaroslav Frnda,
  • Korhan Cengiz and
  • Muhammad Awais Javed

18 February 2021

The reliable transmission of multimedia information that is coded through highly compression efficient encoders is a challenging task. This article presents the iterative convergence performance of IrRegular Convolutional Codes (IRCCs) with the aid o...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
2 Citations
5,002 Views
23 Pages

A Source of Systematic Errors in the Determination of Critical Micelle Concentration and Micellization Enthalpy by Graphical Methods in Isothermal Titration Calorimetry

  • Mónica Corea,
  • Rogelio Jiménez-Juárez,
  • Gabriela Martínez-Mejía,
  • María de Jesús Martínez-Ortiz and
  • José Manuel del Río

18 February 2021

Isothermal titration calorimetry is frequently employed to determine the critical micelle concentration and the micellization enthalpy of surfactants in terms of geometrical characteristics of the titration curves. Previously we have shown theoretica...

(This article belongs to the Section Thermodynamics)
  • Article
  • Open Access
7 Citations
4,453 Views
43 Pages

Integrable and Chaotic Systems Associated with Fractal Groups

  • Rostislav Grigorchuk and
  • Supun Samarakoon

18 February 2021

Fractal groups (also called self-similar groups) is the class of groups discovered by the first author in the 1980s with the purpose of solving some famous problems in mathematics, including the question of raising to von Neumann about non-elementary...

(This article belongs to the Special Issue Exploring the NP-Complexity of Nature: Critical Phenomena, Chaos, Fractals, Graphs, Boson Sampling, Quantum Computing and More)
  • Article
  • Open Access
31 Citations
4,249 Views
32 Pages

17 February 2021

We study a two state “jumping diffusivity” model for a Brownian process alternating between two different diffusion constants, D+>D−, with random waiting times in both states whose distribution is rather general. In the limit of long measurement t...

(This article belongs to the Special Issue Recent Advances in Single-Particle Tracking: Experiment and Analysis)
  • Editorial
  • Open Access
10 Citations
5,397 Views
3 Pages

17 February 2021

The history of information theory, as a mathematical principle for analyzing data transmission and information communication, was formalized in 1948 with the publication of Claude Shannon’s famous paper “A Mathematical Theory of Communication” [...]

(This article belongs to the Special Issue Applications of Information Theory to Industrial and Service Systems)
  • Article
  • Open Access
7 Citations
2,943 Views
9 Pages

17 February 2021

An earthquake of Mw6.4 hit the coastal zone of Albania on 26 November 2019, at 02:54:11 UTC. It was intensively felt at about 34 km away, in Tirana City, where damages and lives lost occurred. To emphasize a pre-seismic geomagnetic signature before t...

(This article belongs to the Special Issue Complex Systems Time Series Analysis and Modeling for Geoscience)
  • Article
  • Open Access
17 Citations
4,324 Views
27 Pages

Entropy Pair Functional Theory: Direct Entropy Evaluation Spanning Phase Transitions

  • Donald M. Nicholson,
  • C. Y. Gao,
  • Marshall T. McDonnell,
  • Clifton C. Sluss and
  • David J. Keffer

17 February 2021

We prove that, within the class of pair potential Hamiltonians, the excess entropy is a universal, temperature-independent functional of the density and pair correlation function. This result extends Henderson’s theorem, which states that the free en...

  • Article
  • Open Access
8 Citations
4,018 Views
23 Pages

Beyond the Limits of Shannon’s Information in Quantum Key Distribution

  • Luis Adrián Lizama-Pérez,
  • J. Mauricio López R. and
  • Emmanuel H. Samperio

16 February 2021

We present a new post-processing method for Quantum Key Distribution (QKD) that raises cubically the secret key rate in the number of double matching detection events. In Shannon’s communication model, information is prepared at Alice’s side, and it...

(This article belongs to the Special Issue Physical-Layer Security, Quantum Key Distribution and Post-quantum Cryptography)
  • Article
  • Open Access
5 Citations
3,101 Views
13 Pages

16 February 2021

Recent discoveries suggest that our gut microbiome plays an important role in our health and wellbeing. However, the gut microbiome data are intricate; for example, the microbial diversity in the gut makes the data high-dimensional. While there are d...

(This article belongs to the Section Multidisciplinary Applications)
  • Article
  • Open Access
4 Citations
2,594 Views
11 Pages

15 February 2021

In the paper, we provide sufficient conditions for the oscillatory and asymptotic behavior of a new type of third-order nonlinear dynamic equations with mixed nonlinear neutral terms. Our theorems not only improve and extend existing theorems in the...

(This article belongs to the Special Issue Nonlinear Dynamics and Analysis)
  • Article
  • Open Access
6 Citations
4,205 Views
13 Pages

15 February 2021

Previous investigations concluded that the human brain’s information processing rate remains fundamentally constant, irrespective of task demands. However, their conclusion rested in analyses of simple discrete-choice tasks. The present contribution...

  • Article
  • Open Access
4 Citations
3,117 Views
13 Pages

Non-Invertible Public Key Certificates

  • Luis Adrián Lizama-Perez and
  • J. Mauricio López R.

12 February 2021

Post-quantum public cryptosystems introduced so far do not define a scalable public key infrastructure for the quantum era. We demonstrate here a public certification system based on Lizama’s non-invertible key exchange protocol which can be used to...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
40 Citations
4,799 Views
19 Pages

Distributed Deep Fusion Predictor for a Multi-Sensor System Based on Causality Entropy

  • Xue-Bo Jin,
  • Xing-Hong Yu,
  • Ting-Li Su,
  • Dan-Ni Yang,
  • Yu-Ting Bai,
  • Jian-Lei Kong and
  • Li Wang

11 February 2021

Trend prediction based on sensor data in a multi-sensor system is an important topic. As the number of sensors increases, we can measure and store more and more data. However, the increase in data has not effectively improved prediction performance....

(This article belongs to the Special Issue Complex Dynamic System Modelling, Identification and Control)
  • Article
  • Open Access
8 Citations
3,237 Views
14 Pages

Signature of Generalized Gibbs Ensemble Deviation from Equilibrium: Negative Absorption Induced by a Local Quench

  • Lorenzo Rossi,
  • Fabrizio Dolcini,
  • Fabio Cavaliere,
  • Niccolò Traverso Ziani,
  • Maura Sassetti and
  • Fausto Rossi

11 February 2021

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set {λα} of c...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
51 Citations
8,555 Views
13 Pages

Selection of Embedding Dimension and Delay Time in Phase Space Reconstruction via Symbolic Dynamics

  • Mariano Matilla-García,
  • Isidro Morales,
  • Jose Miguel Rodríguez and
  • Manuel Ruiz Marín

11 February 2021

The modeling and prediction of chaotic time series require proper reconstruction of the state space from the available data in order to successfully estimate invariant properties of the embedded attractor. Thus, one must choose appropriate time delay...

(This article belongs to the Special Issue Information theory and Symbolic Analysis: Theory and Applications)
  • Review
  • Open Access
93 Citations
19,366 Views
35 Pages

The Entropy Universe

  • Maria Ribeiro,
  • Teresa Henriques,
  • Luísa Castro,
  • André Souto,
  • Luís Antunes,
  • Cristina Costa-Santos and
  • Andreia Teixeira

11 February 2021

About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf Clausius. Since then, it has been continually extended, interpreted, and applied by researchers in many scientific fields, such as general physics, information the...

(This article belongs to the Special Issue Review Papers for Entropy)
  • Article
  • Open Access
16 Citations
5,214 Views
14 Pages

11 February 2021

Nowadays, deep learning methods with high structural complexity and flexibility inevitably lean on the computational capability of the hardware. A platform with high-performance GPUs and large amounts of memory could support neural networks having la...

(This article belongs to the Collection Feature Papers in Information Theory)
  • Article
  • Open Access
2,383 Views
9 Pages

11 February 2021

This paper verifies the feasibility of the relative entropy method in selecting the most suitable statistical distribution for the experimental data, which do not follow an exponential distribution. The efficiency of the relative entropy method is te...

  • Article
  • Open Access
11 Citations
4,864 Views
15 Pages

11 February 2021

The development of new computational approaches that are able to design the correct personalized drugs is the crucial therapeutic issue in cancer research. However, tumor heterogeneity is the main obstacle to developing patient-specific single drugs...

(This article belongs to the Special Issue Computational Methods and Algorithms for Bioinformatics)
  • Article
  • Open Access
8 Citations
3,914 Views
25 Pages

10 February 2021

Representation and abstraction are two of the fundamental concepts of computer science. Together they enable “high-level” programming: without abstraction programming would be tied to machine code; without a machine representation, it would be a pure...

(This article belongs to the Special Issue Physical Information and the Physical Foundations of Computation)
  • Article
  • Open Access
5 Citations
3,016 Views
11 Pages

Negativity of the Casimir Self-Entropy in Spherical Geometries

  • Yang Li,
  • Kimball A. Milton,
  • Prachi Parashar and
  • Lujun Hong

10 February 2021

It has been recognized for some time that, even for perfect conductors, the interaction Casimir entropy, due to quantum/thermal fluctuations, can be negative. This result was not considered problematic because it was thought that the self-entropies o...

(This article belongs to the Special Issue Entropy-based Methods in In and Out of Equilibrium Systems)
  • Article
  • Open Access
24 Citations
9,599 Views
47 Pages

10 February 2021

The non-equilibrium thermodynamics and the photochemical reaction mechanisms are described which may have been involved in the dissipative structuring, proliferation and complexation of the fundamental molecules of life from simpler and more common p...

(This article belongs to the Special Issue Dissipative Structuring in Life)
  • Article
  • Open Access
6 Citations
3,986 Views
16 Pages

Microcanonical and Canonical Ensembles for fMRI Brain Networks in Alzheimer’s Disease

  • Jianjia Wang,
  • Xichen Wu,
  • Mingrui Li,
  • Hui Wu and
  • Edwin R. Hancock

10 February 2021

This paper seeks to advance the state-of-the-art in analysing fMRI data to detect onset of Alzheimer’s disease and identify stages in the disease progression. We employ methods of network neuroscience to represent correlation across fMRI data arrays,...

(This article belongs to the Special Issue Entropy in Brain Networks)
  • Article
  • Open Access
16 Citations
4,871 Views
33 Pages

10 February 2021

The implications of the general covariance principle for the establishment of a Hamiltonian variational formulation of classical General Relativity are addressed. The analysis is performed in the framework of the Einstein-Hilbert variational theory....

(This article belongs to the Section Astrophysics, Cosmology, and Black Holes)
  • Article
  • Open Access
7 Citations
3,500 Views
18 Pages

10 February 2021

Regression analysis using line equations has been broadly applied in studying the evolutionary relationship between the response trait and its covariates. However, the characteristics among closely related species in nature present abundant diversiti...

(This article belongs to the Special Issue Bayesian Inference and Computation)
  • Feature Paper
  • Article
  • Open Access
4 Citations
3,542 Views
18 Pages

Caputo Fractional Derivative and Quantum-Like Coherence

  • Garland Culbreth,
  • Mauro Bologna,
  • Bruce J. West and
  • Paolo Grigolini

9 February 2021

We study two forms of anomalous diffusion, one equivalent to replacing the ordinary time derivative of the standard diffusion equation with the Caputo fractional derivative, and the other equivalent to replacing the time independent diffusion coeffic...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
21 Citations
4,062 Views
17 Pages

9 February 2021

Commonly used rating scales and tests have been found lacking reliability and validity, for example in neurodegenerative diseases studies, owing to not making recourse to the inherent ordinality of human responses, nor acknowledging the separability...

(This article belongs to the Special Issue Entropy in Brain Networks)

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Entropy - ISSN 1099-4300