Conventional logic circuits are known as irreversible logic circuits as they release energy into the environment as a result of information loss. Reversible logic circuits have the ability to reduce garbage outputs, quantum costs, and power distribution. In recent years, researchers have embraced the use of all-optical reversible logic circuits for their research endeavours. In this work, a novel all-optical architecture of reversible Toffoli, Peres, Feynman, and double Feynman logic gates employing silicon microring resonator is presented. These gates are realized in MATLAB and finite difference time domain (FDTD)-based numerical simulation platform. The proposed reversible gates are particularly useful in different arithmetic and logic operations because of small size and fast speed. The assessment and analyze of several performance-indicating variables are carried out and the values are satisfactory for good design. Following the analysis, optimal parameters have been selected for practical implementation.
We investigate the long-time asymptotics of the solution to the Cauchy problem for the nonlocal PT-symmetric derivative nonlinear Schrödinger equation (nPT-DNLS)
where (q_{0}(x)) belongs to the Schwartz class (mathcal {S}(R)) with the assumption (Vert q_0(x)Vert _{L^1(mathbb {R})}<0.817).Beginning with the Lax pair, we define the corresponding Jost functions and scattering data, then formulate the Riemann–Hilbert problem related to the solution. Due to nonlocal effects, we introduce two distinct reflection coefficients (r_1(lambda )) and (r_2(lambda )) to address the broken space-inversion symmetry. Then we adapt the Deift–Zhou nonlinear steepest-descent method to analyze the long-time asymptotics for the solution of the nPT-DNLS equation. Note that our main results are presented in two cases, corresponding to the distinct positions of the stationary phase points.In contrast with the local derivative nonlinear Schrödinger equation, we have some different results on the decay rate of the leading asymptotic term for the nPT-DNLS equation.
The consequences of a protoplanetary disk collision with a gas stream are being studied using three-dimensional numerical gas-dynamic simulation. The influence of orbital parameters and the stream mass on the accretion activity of the star is examined. It is shown that the orbital inclination and the initial mass of the infalling material are the most influential parameters in determining the accretion rate. The obtained accretion rate dependencies are compared with actual observational data for two FU Ori type stars. It turns out that not only is the maximum accretion rate consistent with observational estimates, but the behavior of the accretion rate over time is very similar to available long-term light curves.
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