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20072019
most citedThe restrictions of the Maximum Entropy Production Principle

61 citations · 95 across the 11 of their papers we have counts for

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8 papers · 1 filter

cond-mat.stat-mech2018★ 6 cited

From an Entropic Measure of Time to Laws of Motion

Leonid M. Martyushev, Evgenii V. Shaiapin

A hypothesis proposed in the paper (Entropy 2017, 19, 345) on the deductive formulation of a physical theory based on explicitly- and universally-introduced basic concepts is furth…

cond-mat.stat-mech2016★ 8 cited

Entropic Measure of Time, and Gas Expansion in Vacuum

Leonid M. Martyushev, Evgenii V. Shaiapin

The study considers advantages of the introduced measure of time based on the entropy change under irreversible processes (entropy production). Using the example of non-equilibrium…

cond-mat.stat-mech2015★ 1 cited

Nonequilibrium thermodynamics and scale invariance

Leonid M. Martyushev, V. D. Seleznev

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces has been prop…

cond-mat.stat-mech2014★ 3 cited

On invariance of specific mass increment in the case of non-equilibrium growth

L. M. Martyushev, A. P. Sergeev, P. S. Terentiev

It is the first time invariance of specific mass increments of crystalline structures that co-exist in the case of non-equilibrium growth is grounded using the maximum entropy prod…

cond-mat.stat-mech2013★ 61 cited

The restrictions of the Maximum Entropy Production Principle

Leonid M. Martyushev, Vladimir D. Seleznev

We tried to explain our point of view on this principle and answer a number of critical questions in this comment. It is the first time we have clearly presented all the existing r…

cond-mat.stat-mech2012

Universality of time evolution for the unsteady dendrite

Leonid M. Martyushev, Pavel S. Terentiev

Unsteady growth of ammonium chloride dendrites during crystallization from an aqueous solution in a thin capillary is experimentally investigated. Dependency of the crystal area S…

cond-mat.stat-mech2010★ 4 cited

Entropy Production and Morphological Transitions in Nonequilibrium Processes

Leonid M. Martyushev

The objective of this manuscript consists in a critical consideration of the Maximum Entropy Production Principle (MEPP) and an analysis of its corollaries for some (primarily morp…

cond-mat.stat-mech2007★ 2 cited

Do Nonequilibrium Processes Have Features in Common?

Leonid M. Martyushev

The nature takes the easiest and most accessible paths and, hence, processes are accomplished very quickly in a minimum time. In 1662 P. Fermat used this principle to work out the…