Relations between Adiabatic and Incompressible (Non-Adiabatic) Systems and Their Stability

Variational Principles for Compressible and Incompressible Systems

Some of the results of a previous paper 1 on the relations between adiabatic and incompressible systems are the establishing of a variational energy principle for incompressible systems and consequently of comparison theorems for stability of adiabatic and incompressible perturbations of the same equilibrium state. In this paper we extend these analyses to the most general compressible regimes ...

Modeling and Simulation of Six-Bed Cyclic Adsorption Process Using in Mercaptan Removal from Natural Gas: Non-Isothermal and Non-Adiabatic Conditions

Modeling and Simulation a Catalytic Fixed Bed Reactor to Produce Ethyl Benzene from Ethanol

Ethyl benzene used increasingly each year is the raw material of producing styrene monomer. This substanceis produced from benzene alkylation with ethylene or ethanol, depending on the availability and cost of rawmaterials. In this study benzene alkylation in the presence of ethanol in a catalytic fixed bed reactor inthree states of isotherm, adiabatic and non-isotherm-non-adiabatic is mathemat...

Implementation of Single-Qutrit Quantum Gates via Tripod Adiabatic Passage

We proposed and analyzed implementation of the single-qutrit quantum gates based on stimulated Raman adiabatic passage (STIRAP) between magnetic sublevels in atoms coupled by pulsed laser fields. This technique requires only the control of the relative phase of the driving fields but do not involve any dynamical or geometrical phases, which make it independent of the other interaction details: ...

Resonances and adiabatic invariance in classical and quantum scattering theory

We discover that the energy-integral of time-delay is an adiabatic invariant in quantum scattering theory and corresponds classically to the phase space volume. The integral thus found provides a quantization condition for resonances, explaining a series of results recently found in non-relativistic and relativistic regimes. Further, a connection between statistical quantities like quantal reso...