Contact Geometry of Mesoscopic Thermodynamics and Dynamics

Mesoscopic Non-equilibrium Thermodynamics for the Stochastic Dynamics of Small-scale Systems

We show how to extend the use of thermodynamic concepts into the mesoscopic domain where fluctuations and nonlinearities play an important role. The theory presented: mesoscopic nonequilibrium thermodynamics, provides a new interpretation of local equilibrium that is formulated at small scales. From it one derives kinetic equations and nonlinear transport equation for the study of small-scale s...

Modeling DNA Dynamics by Path Integrals

Abstract Complementary strands in DNA double helix show temporary fluctuational openings which are essential to biological functions such as transcription and replication of the genetic information. Such large amplitude fluctuations, known as the breathing of DNA, are generally localized and, microscopically, are due to the breaking of the hydrogen bonds linking the base pairs (bps). I apply im...

Mesoscopic Thermodynamics for the Dynamics of Small-Scale Systems

We analyze the mesoscopic dynamics of small-scale systems from the perspective of mesoscopic non-equilibrium thermodynamics. The theory obtains the Fokker–Planck equation as a diffusion equation for the probability density of the mesoscopic variables and the nonlinear relationships between activation rates and affinities proper of activated processes. The situations that can be studied with thi...

APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS

In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerica...

Biosorption of cobalt (II) by Inta ct and Chemically Modified Brown Algae: Optimization Using Resp onse Surface Methodology and Equilibrium, Dynamics and Thermodynamics Studies