ParisTech

About: ParisTech is a education organization based out in Paris, France. It is known for research contribution in the topics: Residual stress & Finite element method. The organization has 1888 authors who have published 1965 publications receiving 55532 citations. The organization is also known as: Paris Institute of Technology & ParisTech Développement.

Residual analysis of the equilibrium reconstruction quality on JET

Abstract: An extended set of statistical tests, aimed at assessing the quality of the magnetic reconstructions in JET, obtained with the code EFIT using the external magnetic measurements, is described and the results reported in detail. In addition to the traditional analysis of the global distributions of the residuals (the difference between the actual measurements and their reconstructions from the equilibrium), to determine to what extent they approximate a Gaussian, more sophisticated correlation tests have been performed. Since EFIT solves a highly non-linear equation, tests adequate for multi-input multi-output, non-linear systems have been implemented. Not only the reconstruction of the pickup coil signals but also the accuracy of the plasma boundary has been investigated. The results indicate quite clearly that the errors in the reconstruction of the pickup coils are not negligible. The coils, whose residuals present skewed monomodal distributions (distributions asymmetric with respect to their maximum value), are affected by average errors of the order of more than one millitesla and multimodal distributions of the residuals (distributions presenting more than one local maximum) are quite common. Also the correlation of the residuals is typically outside the 95% limits for a good model in typically more than 70% of the cases. With regard to the plasma boundary, the situation is better since the errors in the distances of the plasma from the wall are typically of the order of 1?cm. On the other hand, in this case the autocorrelations of the residuals are also well outside the 95% confidence interval for random residuals. A detailed analysis of the correlations indicates that the main reasons for the imperfections in the magnetic reconstructions do not reside in the measurements, since there is no evidence of systematic errors or problems with the calibrations. Therefore, the main improvements are to be expected by refinements in the used equilibrium code EFIT, whose constraints and boundary conditions are probably not the most appropriate to model H mode plasmas.

Dynamics of Dislocation Densities in a Bounded Channel. Part II: Existence of Weak Solutions to a Singular Hamilton–Jacobi/Parabolic Strongly Coupled System

Abstract: We study a strongly coupled system consisting of a parabolic equation and a singular Hamilton–Jacobi equation in one space dimension. This system describes the dynamics of dislocation densities in a material submitted to an exterior applied stress. Our system is a natural extension of that studied in [16] where the applied stress was set to be zero. The equations are written on a bounded interval with Dirichlet boundary conditions and require special attention to the boundary. We prove a result of global existence of a solution. The method of the proof consists in considering first a parabolic regularization of the full system, and then passing to the limit. For this regularized system, a result of global existence and uniqueness of a solution has been given in [17]. We show some uniform bounds on this solution which uses in particular an entropy estimate for the densities.

Quantum Secret Sharing with error correction

Abstract: We investigate in this work a quantum error correction on a five-qubits graph state used for secret sharing through five noisy channels. We describe the procedure for the five, seven and nine qubits codes. It is known that the three codes always allow error recovery if only one among the sents qubits is disturbed in the transmitting channel. However, if two qubits and more are disturbed, then the correction will depend on the used code.

Preliminary design of a multi-touch ultrasonic tactile stimulator

Abstract: This paper presents a method to control ultrasonic waves on a beam, allowing to obtain a Multi-touch ultrasonic tactile stimulation in two points, to give the sensation to two fingers, from two piezoelectric transducers. The multi-modal approach and the vector control method are used to regulate the vibration amplitude, in order to modulate the friction coefficient with the fingers. An analytical modelling is presented, with experimental validation. Finally a psychophysical experiment shows that a multi-touch ultrasonic tactile stimulation is possible.