Non-reciprocity in the direction of nonlinear generation: proposed concept. Consider now a situation where only the first term is non-zero in each of the equations (2) and (3) and assume that αe(m2)m,xyy = ±αm(2e)m,yxy, with the rest of the Cartesian components being ...
It essentially divides molecules and crystals into atoms and partition charges by zero-flux surfaces [16]. In this way, we can compare the charge distributions at different atomic sites to observe charge transfer. Finally, in order to investigate the thermodynamic stability of charged defects, the...
In quantum many-body systems, quantum phase transitions (QPTs) may occur at zero temperature as a param- eter varies in the Hamiltonian of the system, induced purely by quantum fluctuations1. QPTs have been explored via entanglement2–6, because entanglement is regarded as a key resource to ...
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(60) radians isentropic exponent denotes change change in surface point location durAi0ng time step in finite difference solution sec emissivity or emittance error or departure from zero various an empirical diffusion factor correlation exponent (see Equation (63)) input multiplicative safety factor in...
(69) The integrand in the last term of the right hand side has an integrable divergence at zero, thus we can safely put the lower limit to zero and use89 ∫∞ 0 dy (1 log +y y )ν +2 =− ν 1 + 1 γ + 1 ν + ψ (ν), (70) where γ...
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Keywords: simultaneous autoregressive model; spatial autocorrelation parameter; nonzero null hypothesis; sampling distribution; asymptotic variance 1. Introduction Spatial autocorrelation (SA) is a common phenomenon of spatial data analyses, where there is a common naive hypothesis that SA is zero (e.g....
The phase changes whenever an envelope passes through zero (see equation (11)). Such behavior enables calculating phases of a structure factor directly from a diffraction pattern with no need of using iterative phase-retrieval algorithms. Having complete diffraction pattern one can reduce it to ...
By comparison, 69.97% of NPE can be reduced by using the MFSS and there is a 10% possibility to reduced TF to zero. This demonstrates the effectiveness of the proposed approach in reducing TF and NPE. This research has a range of limitations: for example, we made some assumptions of ...