nonequilibrium statistical mechanics we focus on nonequilibrium corrections Δs to entropy and energy of the fluid in terms of the nonequilibrium density distribution function, f. We also evaluate coefficients of wave model of heat such as: relaxation time, propagation speed and thermal inertia. With these data a quadratic Lagrangian and a variational principle of Hamilton's type follows for a f...

In this paper a non-stationary processes that tend to maximize the Tsallis entropy are considered. Systems with discrete probability distribution for the Tsallis entropy have already been investigated on the basis of the Speed-Gradient principle. The evolution of probability density function and continuous form of the Tsallis entropy are considered. A set of equations describing dynamics of a s...

We consider a new approach for Chaplygin gas cosmology, in which the relativistic formulation of Chaplygin matter is of crucial importance. Specifically, the dynamical content of this matter induces a generalizd energy conservation principle. Our results show that (for all times) the universe consists of a novel form of matter with dust like density (∼ (volume) −1) and negative pressure, that i...

We construct multisymplectic formulations of fluid dynamics using the inverse of the Lagrangian path map. This inverse map – the “back-to-labels” map – gives the initial Lagrangian label of the fluid particle that currently occupies each Eulerian position. Explicitly enforcing the condition that the fluid particles carry their labels with the flow in Hamilton’s principle leads to our multisympl...

Abstract In order to study energy consumption in Iran's agricultural sector, a Genetic algorithm concept was used to calculate significant factors affecting energy consumption between 1974 and 2008. Then, durability or "stability" of variables was assessed through econometric method (Augmented Dickey-Fuller test). In addition, long-term and short-term relationships of energy consumption were es...

A non-driven double pendulum model is used to explain the principle underlying the surprising efficiency of the golf swing. The principle can be described as a parametric energy transfer between the arms and the club head due to the changing moment of inertia of the club. The transfer is a consequence of conservation of energy and angular momentum. Because the pendulum is not driven by an exter...

Thermodynamic RNA secondary structure prediction is an important recipe for the latest generation of functional non-coding RNA finding tools. However, the predicted energy is not strong enough by itself to distinguish a single functional non-coding RNA from other RNA. Here, we analyze how well an RNA molecule folds into a particular structural class with a restricted folding algorithm called Th...