Hydrodynamic scaling of a rectangular spouted vessel with a draft duct

2004 ◽  
Vol 103 (1-3) ◽  
pp. 29-34 ◽  
Author(s):  
P.A. Shirvanian ◽  
J.M. Calo
Keyword(s):  
Hydrodynamic Scaling

scholarly journals Dynamical Phase Transitions for Flows on Finite Graphs

2020 ◽  
Vol 181 (6) ◽  
pp. 2353-2371
Author(s):  
Davide Gabrielli ◽  
D. R. Michiel Renger
Keyword(s):  
Large Deviation ◽  
Time Window ◽  
Scaling Limit ◽  
Sufficient Conditions ◽  
Finite Graph ◽  
Dynamical Phase Transition ◽  
Dynamical Phase ◽  
Hydrodynamic Scaling ◽  
Deviation Rate ◽  
Dynamical Phase Transitions

AbstractWe study the time-averaged flow in a model of particles that randomly hop on a finite directed graph. In the limit as the number of particles and the time window go to infinity but the graph remains finite, the large-deviation rate functional of the average flow is given by a variational formulation involving paths of the density and flow. We give sufficient conditions under which the large deviations of a given time averaged flow is determined by paths that are constant in time. We then consider a class of models on a discrete ring for which it is possible to show that a better strategy is obtained producing a time-dependent path. This phenomenon, called a dynamical phase transition, is known to occur for some particle systems in the hydrodynamic scaling limit, which is thus extended to the setting of a finite graph.

scholarly journals HYDRODYNAMIC SCALING ANALYSIS OF NUCLEAR FUSION DRIVEN BY ULTRA-INTENSE LASER-PLASMA INTERACTIONS

2012 ◽  
Vol 21 (12) ◽  
pp. 1250102 ◽  
Author(s):  
SACHIE KIMURA ◽  
ALDO BONASERA
Keyword(s):  
Laser Plasma ◽  
Laser Power ◽  
Scaling Laws ◽  
Scaling Law ◽  
Intense Laser ◽  
Scaling Analysis ◽  
Plasma Interactions ◽  
Laser Plasma Interactions ◽  
Hydrodynamic Scaling ◽  
Fusion Yield

We discuss scaling laws of fusion yields generated by laser-plasma interactions. The yields are found to scale as a function of the laser power. The origin of the scaling law in the laser driven fusion yield is derived in terms of hydrodynamic scaling. We point out that the scaling properties can be attributed to the laser power dependence of three terms: the reaction rate, the density of the plasma and the projected range of the plasma particle in the target medium. The resulting scaling relations have a predictive power that enables estimating the fusion yield for a nuclear reaction which has not been investigated by means of the laser accelerated ion beams.

scholarly journals Hydrodynamic scaling limit of continuum solid-on-solid model

2006 ◽  
Vol 2006 ◽  
pp. 1-37 ◽  
Author(s):  
Anamaria Savu
Keyword(s):  
Surface Diffusion ◽  
Nonlinear Evolution Equation ◽  
Nearest Neighbor ◽  
Complex Dynamics ◽  
Nonlinear Evolution ◽  
Scaling Limit ◽  
Solid Model ◽  
Neighbor Interaction ◽  
Hydrodynamic Scaling ◽  
The Continuum

A fourth-order nonlinear evolution equation is derived from a microscopic model for surface diffusion, namely, the continuum solid-on-solid model. We use the method developed by Varadhan for the computation of the hydrodynamic scaling limit of nongradient models. What distinguishes our model from other models discussed so far is the presence of two conservation laws for the dynamics in a nonperiodic box and the complex dynamics that is not nearest-neighbor interaction. Along the way, a few steps have to be adapted to our new context. As a byproduct of our main result, we also derive the hydrodynamic scaling limit of a perturbation of the continuum solid-on-solid model, a model that incorporates both surface diffusion and surface electromigration.

Sign in / Sign up

Export Citation Format

Share Document