arXiv subjects
Publications and source records attributed to 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 temperature differences in the liquid and are not associated with the movement of the liquid.
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 production principle. Based on the hypothesis of the existence of a universal growth equation, with the use of dimensional analysis, an explicit form of the dependence of specific mass increment on time is proposed. Applicability of the obtained results for describing growth in animate nature is discussed.
We consider relaxation of an isolated system to the equilibrium using detailed balance condition and Onsager's fluctuation approximation. There is a small deviation from the equilibrium in two parameters. For this system, explicit expressions both for the dependence of trajectory entropy on random thermodynamic fluxes and for the dependence of entropy production on the most probable thermodynamic fluxes are obtained. Onsager's linear relations are obtained for the considered model using two methods (maximization of trajectory entropy and Ziegler's maximization of entropy production). Two existing interpretations of the maximum entropy production principle - as a physical principle and as an effective inference procedure - are discussed in the paper.