Abstract
In the present work the Stochastic generalization of the quantum hydrodynamic analogy (SQHA) is used to obtain the far-from-equilibrium kinetics for a real gas and its fluid phase. In gases and their liquids, interacting by Lennard-Jones potentials whose mean distance is bigger than the quantum correlation distance and the molecular interaction distance r0, it is possible to define a Fokker-Plank type equation of motion as a function of the mean phase space molecular volume that far-from-equilibrium shows maximizing the dissipation of a part of the generalized SQHA-free energy. In the case of a real gas with no chemical reactions with small temperature gradients, the principle disembogues into the maximum free energy dissipation confirming the experimental outputs of electro-convective instability. In this case, the model shows that the transition to stationary states with higher free energy can happen and that in incompressible fluids, the increase of free energy is almost given by a decrease of entropy leading to the appearance of self-ordered structures. The output of the theory showing that the generation of order via energy dissipation, is more efficient in fluids than in gases, because of their incompressibility, which leads to the reconciliation between physics and biology furnishing the explanation why the life was born in water. The theoretical output also suggests that the search for life out of the earth must consider the possibility to find it in presence of liquid phases different from water.
Highlights
The missing bridge between the physics and life disciplines constitutes one of the greatest problems of science nowadays
In the present paper the author shows that in quasiisothermal far from equilibrium states with no chemical reactions, the principle of maximum stochastic free energy dissipation (SFED), that can generally lead to transition to a state with an increase of free energy, in the case of incompressible phase this increase of free energy is basically almost given by an increase of order since the energy variation of the system associated to the external work is quite null
In the present work the Stochastic generalization of the quantum hydrodynamic analogy (SQHA) is used as a model to obtain the non-equilibrium kinetics of a real gas of L-J interacting particles and its fluid phase
Summary
The missing bridge between the physics and life disciplines constitutes one of the greatest problems of science nowadays. Near equilibrium the maximum of SFED is shown to lead to the Prigogine’s principle of minimum entropy production, while far-from-equilibrium, in quasi-isothermal states and in the case of elastic molecular collisions and in absence of chemical reactions, the maximum SFED reduces to the maximum free energy dissipation. In the present paper the author shows that in quasiisothermal far from equilibrium states with no chemical reactions, the principle of maximum SFED, that can generally lead to transition to a state with an increase of free energy, in the case of incompressible phase (e.g., fluid one) this increase of free energy is basically almost given by an increase of order since the energy variation of the system associated to the external work is quite null. The physical model is not devoid of new information signaling that ordering processes (and life) can happen in fluids different from water, an interesting chance in searching for life in the universe out of the earth
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