Non-extensive thermodynamic entropy to predict the dynamics behavior of COVID-19

A formal analogy of fluctuating diffusivity to thermodynamics is discussed for messenger RNA molecules fluorescently fused to a protein in living cells. Regarding the average value of the fluctuating diffusivity of such RNA-protein particles as the analog of the internal energy, the analogs of the quantity of heat and work are identified. The Clausius-like inequality is shown to hold for the entropy associated with diffusivity fluctuations, which plays a role analogous to the thermodynamic entropy, and the analog of the quantity of heat. The change of the statistical fluctuation distribution is also examined from a geometric perspective. The present discussions may contribute to a deeper understanding of the fluctuating diffusivity in view of the laws of thermodynamics.

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Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽

10.3390/e23070858 ◽

2021 ◽

Vol 23 (7) ◽

pp. 858

Author(s):

Dongshan He ◽

Qingyu Cai

Keyword(s):

Information Theory ◽

Black Hole ◽

Black Hole Entropy ◽

Quantum Corrections ◽

Compton Wavelength ◽

Information Theoretic ◽

Curved Space ◽

Thermodynamic Entropy ◽

Hole Area ◽

The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

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QUANTUM MEASUREMENTS, INFORMATION AND ENTROPY PRODUCTION

International Journal of Modern Physics B ◽

10.1142/s0217979299003076 ◽

1999 ◽

Vol 13 (28) ◽

pp. 3369-3382 ◽

Cited By ~ 4

Author(s):

Y. N. SRIVASTAVA ◽

G. VITIELLO ◽

A. WIDOM

Keyword(s):

Entropy Production ◽

Information Entropy ◽

Quantum Measurements ◽

Second Law ◽

Quantum Object ◽

Measurement Apparatus ◽

Thermodynamic Entropy ◽

Classical Measurement ◽

The Relationship

In order to understand the Landau–Lifshitz conjecture on the relationship between quantum measurements and the thermodynamic second law, we discuss the notion of "diabatic" and "adiabatic" forces exerted by the quantum object on the classical measurement apparatus. The notion of heat and work in measurements is made manifest in this approach and the relationship between information entropy and thermodynamic entropy is explored.

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Evolution of the universe from the perspective of entropy and information

Modern Physics Letters A ◽

10.1142/s021773232150111x ◽

2021 ◽

pp. 2150111

Author(s):

Fei-Quan Tu ◽

Bin Sun ◽

Meng Wan ◽

Qi-Hong Huang

Keyword(s):

Information Entropy ◽

Second Law Of Thermodynamics ◽

Boltzmann Entropy ◽

Evolution Of The Universe ◽

Thermodynamic Entropy ◽

Entire Universe ◽

Low Entropy ◽

The Relationship ◽

The Universe ◽

Entropy Of The Universe

Entropy is a key concept widely used in physics and other fields. At the same time, the meaning of entropy with different names and the relationship among them are confusing. In this paper, we discuss the relationship among the Clausius entropy, Boltzmann entropy and information entropy and further show that the three kinds of entropy are equivalent to each other to some extent. Moreover, we point out that the evolution of the universe is a process of entropy increment and life originates from the original low entropy of the universe. Finally, we discuss the evolution of the entire universe composed of the cosmological horizon and the space surrounded by it and interpret the entropy as a measure of information of all microstates corresponding to a certain macrostate. Under this explanation, the thermodynamic entropy and information entropy are unified and we can conclude that the sum of the entropy of horizon and the entropy of matter in the space surrounded by the horizon does not decrease with time if the second law of thermodynamics holds for the entire universe.

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