Pressure wave equation far from thermodynamics equilibrium

Abstract

With the aim to model the propagation of sound pressure emitted by a source, based on the postulates of Far from equilibrium thermodynamics theory, a wave equation was constructed. The equation obtained is a classic generalized wave equation adding dissipative behavior as a function of the media in which wave propagates. The new equation is of Maxwell-Cattaneo-Vernotte type. Also, an experimental activity was realized and the results were in accordance with theoretical solution of the new differential equation.

Exact Traveling and Nano-Solitons Wave Solitons of the Ionic Waves Propagating along Microtubules in Living Cells

“…Nonlinearity has recently been considered as the generator of many complex phenomena in distinct fields such as infectious disease epidemiology [1], neural networks [2], biology [3], fluid mechanics [4], population ecology [5], solid-state physics [6], wave propagation in plasma physics [7], thermodynamics [8], condensed matter physics [9], nonlinear optics [10], civil engineering [11], quantum mechanics [12], plasma wave [13], soil mechanics [14], and so on; they are formulated in nonlinear evolution equations. The mathematical formulation of this phenomenon depends on real experiments to determine the parameters and empirical functions.…”