Quark Model of Nucleus

Sitenko, A.G.; Tartakovskii, V.K.

doi:10.1007/978-94-011-5772-8_7

Cited by 1 publication

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References 12 publications

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“…Part II of this work [ 170 ] presents a separate analysis of the information-theoretic definition of similarity ( 22 ) and ( 23 ) and its application to wave phenomena. Many other important processes have not been examined from an entropic similarity perspective, including mixing and separation unit operations in chemical and environmental engineering [ 171 ], radioactive decay and nuclear processes [ 172 ], gravitation [ 173 ], hydraulic and hydrological systems [ 49 , 50 ], biological growth, evolutionary and planetary processes [ 29 , 48 , 174 ], transport systems [ 175 , 176 ] and economic systems and industrial ecology [ 177 ]. Further research is required on the derivation of entropic dimensionless groups to represent these and many other natural, engineered and human phenomena.…”

Section: Discussionmentioning

confidence: 99%

Dimensionless Groups by Entropic Similarity: I — Diffusion, Chemical Reaction and Dispersion Processes

Niven

2023

Entropy

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Since the time of Buckingham in 1914, dimensional analysis and similarity arguments based on dimensionless groups have served as powerful tools for the analysis of systems in all branches of science and engineering. Dimensionless groups are generally classified into those arising from geometric similarity, based on ratios of length scales; kinematic similarity, based on ratios of velocities or accelerations; and dynamic similarity, based on ratios of forces. We propose an additional category of dimensionless groups based on entropic similarity, defined by ratios of (i) entropy production terms; (ii) entropy flow rates or fluxes; or (iii) information flow rates or fluxes. Since all processes involving work against friction, dissipation, diffusion, dispersion, mixing, separation, chemical reaction, gain of information or other irreversible changes are driven by (or must overcome) the second law of thermodynamics, it is appropriate to analyze them directly in terms of competing entropy-producing and transporting phenomena and the dominant entropic regime, rather than indirectly in terms of forces. In this study, entropic groups are derived for a wide variety of diffusion, chemical reaction and dispersion processes relevant to fluid mechanics, chemical engineering and environmental engineering. It is shown that many dimensionless groups traditionally derived by kinematic or dynamic similarity (including the Reynolds number) can also be recovered by entropic similarity—with a different entropic interpretation—while many new dimensionless groups can also be identified. The analyses significantly expand the scope of dimensional analysis and similarity arguments for the resolution of new and existing problems in science and engineering.

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Section: Discussionmentioning

confidence: 99%

Dimensionless Groups by Entropic Similarity: I — Diffusion, Chemical Reaction and Dispersion Processes

Niven

2023

Entropy

View full text Add to dashboard Cite

show abstract

Quark Model of Nucleus

Cited by 1 publication

References 12 publications

Dimensionless Groups by Entropic Similarity: I — Diffusion, Chemical Reaction and Dispersion Processes

Dimensionless Groups by Entropic Similarity: I — Diffusion, Chemical Reaction and Dispersion Processes

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