61 citations · 95 across the 11 of their papers we have counts for
11 papers
Thermal Dendrites on the Surface of Water and Water Solution
D. A. Rusova, L. M. Martyushev
Thermal dendrites (fractal-like structures) on the surface of water and some water solutions are found with an infrared camera. They are observed with specific sizes and temperatur…
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…
Entropy Production and Luminosity-Effective Temperature Relation for Main-Sequence Stars
Leonid M. Martyushev, Sergey N. Zubarev
Based on the maximum entropy production principle, a relation between luminosity and effective temperature for main-sequence stars is obtained. Simplicity of the derivation and abs…
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…
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…
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…
Universal Model of Ontogenetic Growth: Substantiation and Development of Schmalhausen's Model
Leonid M. Martyushev, Pavel S. Terentiev
A hypothesis of singleness of the growth equation for biological objects on different organizational levels and dimensional analysis are used in order to substantiate Schmalhausen'…
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…
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…
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…
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…