In this research, a semi empirical approach has been suggested for calculating the activation energyof unimolecular thermal decomposition of vinyl ethers yielding saturated products. The calculationprocedure is based on the use of molecular mechanics (MM) methods. These methods which involvethe construction of the transition state for a molecule mainly consider the formation of a “HydrogenBridg...

Due to recent developments in concert hall design, there is an increasing interest in the analysis of sound energy decays consisting of multiple exponential decay rates. It has been considered challenging to estimate parameters associated with double-rate (slope) decay characteristics, and even more challenging when the coupled-volume systems contain more than two decay processes. To meet the n...

The energy of solutions of the wave equation with a suitable boundary dissipation decays exponentially to zero as time goes to infinity. We consider the finite-difference space semi-discretization scheme and we analyze whether the decay rate is independent of the mesh size. We focus on the one-dimensional case. First we show that the decay rate of the energy of the classical semi-discrete syste...

The “t-model” for dimensional reduction is applied to the estimation of the rate of decay of solutions of the Burgers equation and of the Euler equations in two and three space dimensions. The model was first derived in a statistical mechanics context, but here we analyze it purely as a numerical tool and prove its convergence. In the Burgers case the model captures the rate of decay exactly, a...

We apply the method of perturbative fragmentation to study bottom fragmentation in top decay. We present the energy spectrum of b-quarks and b-flavoured hadrons in top decay. A reliable understanding of bottom-quark fragmentation in top-quark decay (t → bW) will be fundamental to accurately measure the top properties, such as its mass, at present and future high-energy colliders. At the LHC, fi...

We apply the method of perturbative fragmentation to study bottom fragmentation in top decay. We present the energy spectrum of b-quarks and b-flavoured hadrons in top decay. A reliable understanding of bottom-quark fragmentation in top-quark decay (t → bW) will be fundamental to accurately measure the top properties, such as its mass, at present and future high-energy colliders. At the LHC, fi...

The rates for the three-body proton decays p + Irlre+ are related o+ to the rate for the decay p + TI e . This is done by making an ansatz for the form of the three-body amplitude which is consistent with current algebra and with the measured TIT final state interactions. We find that the three-body decay rates are comparable with the rate for the two-body decay p -+ roe+. Submitted to Physical...

The "t-model" for dimensional reduction is applied to the estimation of the rate of decay of solutions of the Burgers equation and of the Euler equations in two and three space dimensions. The model was first derived in a statistical mechanics context, but here we analyze it purely as a numerical tool and prove its convergence. In the Burgers case, the model captures the rate of decay exactly, ...

A one-dimensional system of masses with nearest-neighbor interactions and periodic boundary conditions is used to study mode decay and ergodicity in nonlinear, disordered systems. The system is given an initial periodic displacement, and the total system energy within a specific frequency channel is measured as a function of time. Results indicate that the rate of mode decay at early times incr...