Axial-Vector Interaction with Bio-Systems

Abstract

One remarkable part of the biological process is that it is self-similar stochastic, originating from a system of a large number of interacting parts. Our objective is to study the thermodynamics and the pink-noise behavior of these systems. Our model is based on the Langevin equation, describing the transport properties of biological systems. Using Onsager's formulation of the microscopic reversibility, we study the effects of the interactions characterized by axial-vectors (angular-velocity-vector, vector-potential) on self-similar processes and interactions. In the presence of any axial-vector interaction, Casimir anti-symmetry relations determine the processes, changing the coupling of the transport properties. This modifies the noise-spectrum of the system as well. Moreover, the modified system loses its equivalent entropy in all time-scales (also characteristic of the Gaussian pink-noise), so this unique dynamic state of the biological systems disappears by interaction with an axial-vector field. This could modify the usual magnetic explanations of the migration orientation of animals.

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