Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability

Mahulikar, Shripad P.; Sengupta, Tapan K.; Sharma, Nidhi; Rastogi, Pallavi

doi:10.1515/jnet-2018-0091

Cited by 5 publications

(2 citation statements)

References 35 publications

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“…Li et al theoretically analyzed RTI in gas stream on a spherical droplet [97]. Mahulikar et al worked on the role of fluctuations that integrate the maximum entropy production and fluctuation theorem in entropy production by a thermodynamic fusion theorem [98].…”

Section: Review Of the Current Statusmentioning

confidence: 99%

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Singh¹,

Vidhani²,

Yogi³

et al. 2023

Plasma Science - Recent Advances, New Perspectives and Applications

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The presence of plasma density gradient is one of the main sources of Rayleigh–Taylor instability (RTI). The Rayleigh–Taylor instability has application in meteorology to explain cloud formations and in astrophysics to explain finger formation. It has wide applications in the inertial confinement fusion to determine the yield of the reaction. The aim of the chapter is to discuss the current status of the research related to RTI. The current research related to RTI has been reviewed, and general dispersion relation has been derived under the thermal motion of electron. The perturbed densities of ions and electrons are determined using two fluid approach under the small amplitude of oscillations. The dispersion equation is derived with the help of Poisson’s equation and solved numerically to investigate the effect of various parameters on the growth rate and real frequency. It has been shown that the real frequency increases with plasma density gradient, electron temperature and the wavenumber, but magnetic field has opposite effect on it. On the other hand, the growth rate of instability increases with magnetic field and density gradient, but it decreases with electron temperature and wave number.

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Section: Review Of the Current Statusmentioning

confidence: 99%

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Singh¹,

Vidhani²,

Yogi³

et al. 2023

Plasma Science - Recent Advances, New Perspectives and Applications

View full text Add to dashboard Cite

show abstract

“…In some papers, the principle of maximum entropy production is partially supported by some results of studies related to specific physicochemical systems (for example, models of autocatalytic and enzymatic reactions [59,60], free convective flow [61], planetary atmospheres from the above works, stellar statistics [62]). However, statements about the universality of the principle, in my opinion, are too exaggerated even for the classes of processes under consideration.…”

Section: Thermodynamics Of Irreversible Processesmentioning

confidence: 99%

On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review

Donskoy

2022

Energies

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A brief review of the development of ideas on extremal principles in the theory of heat and mass transfer processes (including those in reacting media) is given. The extremal principles of non-equilibrium thermodynamics are critically examined. Examples are shown in which the mechanical use of entropy production-based principles turns out to be inefficient and even contradictory. The main problem of extremal principles in the theory of irreversible processes is the impossibility of their generalization, often even within the framework of a class of problems. Alternative extremal formulations are considered: variational principles for heat and mass transfer equations and other dissipative systems. Several extremal principles are singled out, which make it possible to simplify the numerical solution of the initial equations. Criteria are proposed that allow one to classify extremal principles according to their areas of applicability. Possible directions for further research in the search for extremal principles in the theory of irreversible processes are given.

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Thermodynamic Theory for Simple and Complex Dissipative Structures

Rastogi

Mahulikar

2021

Found Phys

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Thermodynamic Merger of Fluctuation Theorem and Principle of Least Action: Case of Rayleigh–Taylor Instability

Cited by 5 publications

References 35 publications

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

Plasma Waves and Rayleigh–Taylor Instability: Theory and Application

On the Existence and Applicability of Extremal Principles in the Theory of Irreversible Processes: A Critical Review

Thermodynamic Theory for Simple and Complex Dissipative Structures

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