The Experts below are selected from a list of 8814 Experts worldwide ranked by ideXlab platform
Erignoux Clément - One of the best experts on this subject based on the ideXlab platform.
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Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
2020Co-Authors: Erignoux Clément, Gonçalves Patricia, Nahum GabrielAbstract:The purpose of this article is to provide a simple proof of the hydrodynamic and Hydrostatic Behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size $K$ placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The reservoirs have slow dynamics, in the sense that they intervene at speed $N^{-\theta}$ w.r.t. the bulk dynamics. In the first part of this article, we treated the case $\theta>1$ for which the entropy method can be adapted. We treat here the case where the boundary dynamics is too fast for the Entropy Method to apply. We prove, using duality estimates inspired by previous work by Erignoux, Landim and Xu, that the hydrodynamic limit is given by the heat equation with Dirichlet boundary conditions, where the density at the boundaries is fixed by the parameters of the model
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HYDRODYNAMICS FOR SSEP WITH NON-REVERSIBLE SLOW BOUNDARY DYNAMICS: PART II, BELOW THE CRITICAL REGIME
HAL CCSD, 2020Co-Authors: Erignoux Clément, Gonçalves P, Nahum GAbstract:The purpose of this article is to provide a simple proof of the hydrodynamic and Hydrostatic Behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size K placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The reservoirs have slow dynamics, in the sense that they intervene at speed N −θ w.r.t. the bulk dynamics. In the first part of this article, [4], we treated the case θ > 1 for which the entropy method can be adapted. We treat here the case where the boundary dynamics is too fast for the Entropy Method to apply. We prove using duality estimates inspired by [2, 3] that the hydrodynamic limit is given by the heat equation with Dirichlet boundary conditions, where the density at the boundaries is fixed by the parameters of the model
Nahum Gabriel - One of the best experts on this subject based on the ideXlab platform.
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Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
2020Co-Authors: Erignoux Clément, Gonçalves Patricia, Nahum GabrielAbstract:The purpose of this article is to provide a simple proof of the hydrodynamic and Hydrostatic Behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size $K$ placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The reservoirs have slow dynamics, in the sense that they intervene at speed $N^{-\theta}$ w.r.t. the bulk dynamics. In the first part of this article, we treated the case $\theta>1$ for which the entropy method can be adapted. We treat here the case where the boundary dynamics is too fast for the Entropy Method to apply. We prove, using duality estimates inspired by previous work by Erignoux, Landim and Xu, that the hydrodynamic limit is given by the heat equation with Dirichlet boundary conditions, where the density at the boundaries is fixed by the parameters of the model
Nahum G - One of the best experts on this subject based on the ideXlab platform.
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HYDRODYNAMICS FOR SSEP WITH NON-REVERSIBLE SLOW BOUNDARY DYNAMICS: PART II, BELOW THE CRITICAL REGIME
HAL CCSD, 2020Co-Authors: Erignoux Clément, Gonçalves P, Nahum GAbstract:The purpose of this article is to provide a simple proof of the hydrodynamic and Hydrostatic Behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size K placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The reservoirs have slow dynamics, in the sense that they intervene at speed N −θ w.r.t. the bulk dynamics. In the first part of this article, [4], we treated the case θ > 1 for which the entropy method can be adapted. We treat here the case where the boundary dynamics is too fast for the Entropy Method to apply. We prove using duality estimates inspired by [2, 3] that the hydrodynamic limit is given by the heat equation with Dirichlet boundary conditions, where the density at the boundaries is fixed by the parameters of the model
W B Holzapfel - One of the best experts on this subject based on the ideXlab platform.
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x ray diffraction studies on reco2 re pr nd sm tb laves phases under pressure
Journal of Alloys and Compounds, 2003Co-Authors: U Ponkratz, F Porsch, G Wortmann, W B HolzapfelAbstract:Abstract RECo 2 Laves phases with RE=Pr, Nd, Sm, Tb have been studied up to 40 GPa by energy dispersive X-ray diffraction. No structural phase transitions are observed for any of the compounds up to the highest pressures applied. The bulk modulus K 0 and its pressure derivative K 0 ′ for ambient conditions were determined for each compound. Data obtained with liquid N 2 as pressure transmitting medium could be fitted reasonably well with standard equations of state. However, pressure transmitting media like mineral oil and isooctane cause strong deviations from the regular Hydrostatic Behavior. This Behavior can be explained by assuming relatively small values for the shear modulus ( G 0 K 0 ) for this class of materials making the RECo 2 Laves phases very sensitive to non-Hydrostatic stress.
Gonçalves Patricia - One of the best experts on this subject based on the ideXlab platform.
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Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime
2020Co-Authors: Erignoux Clément, Gonçalves Patricia, Nahum GabrielAbstract:The purpose of this article is to provide a simple proof of the hydrodynamic and Hydrostatic Behavior of the SSEP in contact with reservoirs which inject and remove particles in a finite size windows at the extremities of the bulk. More precisely, the reservoirs inject/remove particles at/from any point of a window of size $K$ placed at each extremity of the bulk and particles are injected/removed to the first open/occupied position in that window. The reservoirs have slow dynamics, in the sense that they intervene at speed $N^{-\theta}$ w.r.t. the bulk dynamics. In the first part of this article, we treated the case $\theta>1$ for which the entropy method can be adapted. We treat here the case where the boundary dynamics is too fast for the Entropy Method to apply. We prove, using duality estimates inspired by previous work by Erignoux, Landim and Xu, that the hydrodynamic limit is given by the heat equation with Dirichlet boundary conditions, where the density at the boundaries is fixed by the parameters of the model
