Algebraic Approach to Molecular Thermodynamics

Teaching thermodynamics to engineering students: new approach for interpolation of steam tables

Algebraic Models and Quantum Deformations in Molecular Thermodynamics

Lie-algebaic and quantum-algebraic techniques are used in the analysis of thermodynamic properties of molecules and solids at high temperatures. In the framework of the algebraic models, the local anharmonic effects are described by a Morse-like potential, associated with the SU(2) algebra. The vibrational high-temperature properies, such as mean energy and specific heat, are studied in terms o...

Applications of Classical and Quantum Algebras to Molecular Thermodynamics

Lie-algebraic and quantum-algebraic techniques are used in the analysis of thermodynamic properties of molecules and solids. The local anharmonic effects are described by a Morse-like potential associated with the su(2) algebra. A vibrational high-temperature partition function and the related thermodynamic potentials are derived in terms of the parameters of the model. Quantum analogues of anh...

On the Homogenization of Partial Integro–differential–algebraic Equations

We present a Hilbert space perspective to homogenization of standard linear evolutionary boundary value problems in mathematical physics and provide a unified treatment for (non-)periodic homogenization problems in thermodynamics, elasticity, electro-magnetism and coupled systems thereof. The approach permits the consideration of memory problems as well as differential-algebraic equations. We s...

A Novel Reference Current Calculation Method for Shunt Active Power Filters using a Recursive Algebraic Approach

This paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (SAPFs). This method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. Next, the amplitude of the reference mains currentis computed with ...