A renormalizable supersymmetric SO(10) model

A realistic grand unified model has never been constructed in the literature due to three major difficulties: the seesaw mechanism without spoiling gauge coupling unification, the doublet-triplet splitting and the proton decay suppression. We propose a renormalizable supersymmetric SO(10) model with all these difficulties solved naturally by imposing an extra discrete symmetry.Comment: 12 page

Study of vibratory stress relief effect of quartz flexible accelerometer with FEA method

Residual stress relaxation is one of the reasons for parameter drift of quartz flexible accelerometer with laser spot welding structure. Residual stress of laser spot welding is simulated by thermal analysis and thermal stress analysis of the welding process with ANSYS. Dynamic vibration analysis is carried out to evaluate the effectiveness of VSR process for laser spot welding and investigate the effect of VSR process factors on the residual stress distribution. Results show that vibration can decrease the welding residual stress and VSR with resonant frequency has better residual stress relief effect than that of non-resonant frequency. The study may provide a better understanding of how residual stress relief occurs and how VSR can be used in precise instrument effectively

A renormalizable supersymmetric SO(10) model with natural doublet-triplet splitting

We propose a renormalizable supersymmetric SO(10) model where the doublet-triplet splitting problem is solved using the Dimopoulos-Wilczek mechanism. An unwanted coupling is forbidden through a filter sector. To suppress proton decay without spoiling gauge coupling unification, there is a problem in the weak doublets which requires further improvements.Comment: 14 Pages, 1 figure

Optimal design of piezoelectric vibration devices with constrained variable algorithm and FEA

Optimal design of piezoelectric vibration devices used in medical fields is a typical inequality constrained optimization problem. Constrained variable method, as the best algorithm to solve nonlinear constraint optimization problem is used in the optimal design of the piezoelectric devices. The object functions and constrain functions are automatically calculated with Finite Element Analysis software ANSYS, and the results will return to the main optimization program. Results show that compared with the given initial parameters, the vibration amplitude of the optimum piezoelectric vibration device is dramatically increased under the constraint that the stress concentration of the cutting tool is within limit. Experiments are also performed to measure the vibration amplitude. Results are in great agreement with the theoretical one

The Relationships among Sea-Food Restaurant Service Quality, Perceived Value, Customer Satisfaction and Behavioral Intentions Using Structural Equation Models: a Case of Pengh

To identify the relationships among sea-food rest aurant service quality/ perceived value/satisfaction and behavioral intentions, this research establish es a study structure and formulates six hypothese s from the related literatures reviews. Structural equation models were used to validate the relatio nship based on the surveyed sample collected fro m the restaurants’ tourists. The findings indicate that overall sea-food restaurant service quality po sitively and significantly influences perceived val ue, and overall sea-food restaurant perceived valu e had a significant role in influencing satisfaction. Additionally, overall sea-food restaurant perceive d value and satisfaction are significant predictors of customer’s behavioral intentions. Customer sa tisfaction can act as a partial mediator in the rel ationship between overall sea-food restaurant serv ice quality, perceived value and behavioral intenti ons. However, restaurant’s service quality did not positively influence either the customer satisfacti on or the behavioral intentions. Furthermore, the constructs including responsiveness, assurance, an d reliability are the appropriate observations to m easure sea-food restaurant service quality which s ignificantly influences the perceived value. Theref ore, upgrading the responsiveness, assurance, and reliability on service quality in sea-food restaura nt is an effective way to increase the customers’ perceived value, satisfaction and behavioral inte ntions. This research results can be referenced by the restaurant owners/ operators in operational management

Manin triples associated to nn-Lie bialgebras

In this paper, we study the Manin triples associated to $n$-Lie bialgebras. We develop the method of double constructions as well as operad matrices to make $n$-Lie bialgebras into Manin triples. Then, the related Manin triples lead to a natural construction of metric $n$-Lie algebras. Moreover, a one-to-one correspondence between the double of $n$-Lie bialgebras and Manin triples of $n$-Lie algebras be established

Vibration analysis of geared rotor system under time varying mesh stiffness effects

The present work contributes to the analysis of the interactions between gears, shafts and journal bearings in a geared rotor-bearing system. Although there are analyses for both of the gear and rotor-bearing system dynamics, the coupling effect of the nonlinear variable pressure angle and geared rotor-bearing system is deficient. In contrast to the majority of the models in the literature, the variable mesh stiffness and pressure angle are introduced in this paper while they were considered as constant in previous models. The equations of motion for the geared rotor- bearing system are obtained by applying Lagrange’s equation, and the Runge-Kutta numerical method is used to solve the equations of motion. Numerical results of this study indicated that the proposed model provides realistic dynamic response of a geared rotor-bearing system

WW-representations of two-matrix models with infinite set of variables

The Hermitian, complex and fermionic two-matrix models with infinite set of variables are constructed. We show that these two-matrix models can be realized by the $W$-representations. In terms of the $W$-representations, we derive the compact expressions of correlators for these two-matrix models.Comment: 12 page

Electronic Noise of a Single Skyrmion

To enable the practical use of skyrmion-based devices, it is essential to achieve a balance between energy efficiency and thermal stability, while also ensuring reliable electrical detection against noise. Understanding how a skyrmion interacts with material disorder and external perturbations is thus essential. Here we investigate the electronic noise of a single skyrmion under the influence of thermal fluctuations and spin currents in a magnetic thin film. We detect the thermally induced noise with a 1/f signature in the strong pinning regime but a random telegraph noise in the intermediate pinning regime. Both the thermally dominated and current-induced telegraph-like signals are detected in the weak pinning regime. Our results provide a comprehensive electronic noise picture of a single skyrmion, demonstrating the potential of noise fluctuation as a valuable tool for characterizing the pinning condition of a skyrmion. These insights could also aid in the development of low-noise and reliable skyrmion-based devices