Amplitudes A n in d-dimensional scalar field theory are generated, to all orders in the coupling constant and at n-point. The amplitudes are expressed as a series in the mass m and coupling λ. The inputs are the classical scattering, and these generate, after the integrals are performed, the series expansion in the couplings λ i. The group theory of the scalar field theory leads to an additiona...

For the new definition of the SI-unit of mass based on a fundamental constant, a redetermination of Avogadro’s constant is the goal of an international collaboration of numerous national laboratories and universities. Since a relative uncertainty of about 2 × 10 –8 is aimed at, the macroscopic density, the isotopic composition and the volume of the unit cell of a silicon single crystal have to ...

We study the equilibration of a parton plasma in terms of its parton compositions and its state of thermalization. In studying the evolution of the plasma, one has to assume a small value of the strong coupling constant. This value is by no means fixed. By varying this only parameter in our calculation, we show the dependence of equilibration on its magnitude. It is shown that both kinetic and ...

The use of constant pressure (automatic) expansion valves as the metering device in vapor compression refrigeration cycles employed in air conditioning systems offer functional advantages which result in first cost and operating cost benefits to the manufacturers and users of air conditioning equipment. Operating performance is improved at typical application air temperature conditions and powe...

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

Equations of state should be tuned to reservoir conditions by PVT tests for phase behavior modeling. This tuning is achievable via an optimization method. In this work, simulated annealing algorithm is applied as a global optimization method to parameter optimization for PC-SAFT from the statistical associating fluid theory incorporating hard chain as reference fluid. The optimization parameter...