We develop notions of Rota–Baxter structures and associated Birkhoff factorizations, in the context of min-plus semirings and their thermodynamic deformations, including deformations arising from quantum information measures such as the von Neumann entropy. We consider examples related to Manin’s renormalization and computation program, to Markov random fields and to counting functions and zeta...

In this paper multi-objective genetic algorithms were employed for Pareto approach optimization of turboprop engines. The considered objective functions are used to maximize the specific thrust, propulsive efficiency, thermal efficiency, propeller efficiency and minimize the thrust specific fuel consumption. These objectives are usually conflicting with each other. The design variables consist ...

We show that arbitrary phase space vector fields can be used to generate phase functions whose ensemble averages give the thermodynamic temperature. We describe conditions for the validity of these functions in periodic boundary systems and the Molecular Dynamics (MD) ensemble, and test them with a short-ranged potential MD simulation. 05.20.-y 05.20.Gd Typeset using REVTEX 1

The thermodynamic functions for square-well gases evaluated till the third virial coefficient are investigated at an isobaric process. Some thermodynamic functions are analytically expressed as functions of intensive variables, temperature, and pressure. Some thermodynamic quantities for H2O are calculated numerically and drawn graphically. In critical states, the heat capacity, thermal expansi...

Abstract Thermodynamic data of various crystalline solids are assessed from low temperature heat capacity measurements, i.e., from almost absolute zero to 300 K by means of semi-empirical models. Previous studies frequently present fit functions with a large amount of coefficients resulting in almost perfect agreement with experimental data. It is, however, pointed out in this work that special...

A graph technique analogous to the usual Feynman technique in field theory is developed for calculating Green's functions for particles in a statistical system which under the action of an external field deviates to any arbitrary extent from the state of thermodynamic equilibrium. It is found that in order to describe such a system it is necessary to introduce two Green's functions for each typ...

the density (d), speed of sound (u) and electrolytic conductivity (λ) for systems containing acetaminophen, ionic liquid {1-octyl-3-methyl imidazolium bromide, [omim] br} and water have been measured at t = 293.15-308.15 k. the measured data have been applied to calculate, standard partial molar volume ( ), hepler’s constant , apparent molar isentropic compressibility (kφ), transfer volume ( ),...

geothermobarometry equations are based on thermodynamic principles and appear in single or multi-variant functions. the number of variants for a specific composition or reaction usually is reduced into 2 involving temperature (t) and pressure (p). since most of planned equations have two passive or variant p and t, using these equations should be with special care. it is very effective to use g...

We study density correlation functions for an impenetrable Bose gas in a finite box, with Neu-mann or Dirichlet boundary conditions in the ground state. We derive the Fredholm minor determinant formulas for the correlation functions. In the thermodynamic limit, we express the correlation functions in terms of solutions of non-linear differential equations which were introduced by Jimbo, Miwa, M...