scholarly journals Fokker-Planck formalism approach to Kibble-Zurek scaling laws and nonequilibrium dynamics

2017 ◽  
Vol 95 (13) ◽  
Author(s):  
Ricardo Puebla ◽  
Ramil Nigmatullin ◽  
Tanja E. Mehlstäubler ◽  
Martin B. Plenio
Keyword(s):  
Scaling Laws ◽  
Nonequilibrium Dynamics ◽  
Formalism Approach ◽  
Fokker Planck

Scaling Laws and Fokker--Planck Equations for 3-Dimensional Porous Media with Fractal Mesoscale

2005 ◽  
Vol 4 (4) ◽  
pp. 1233-1244 ◽  
Author(s):  
Moongyu Park ◽  
Natalie Kleinfelter ◽  
John H. Cushman
Keyword(s):  
Porous Media ◽  
Scaling Laws ◽  
3 Dimensional ◽  
Fokker Planck Equations ◽  
Fokker Planck

scholarly journals Fluctuation of gauge field for general nonlinear Fokker-Planck equation and covariant version of Fisher information matrix

Open Physics ◽  
2013 ◽  
Vol 11 (7) ◽  
Author(s):  
Takuya Yamano
Keyword(s):  
Gauge Field ◽  
Fisher Information ◽  
Fisher Information Matrix ◽  
Information Matrix ◽  
Planck Equation ◽  
Nonequilibrium Dynamics ◽  
Abelian Gauge ◽  
Fokker Planck Equation ◽  
Fokker Planck Equations ◽  
Fokker Planck

AbstractWe clarify a strong link between general nonlinear Fokker-Planck equations with gauge fields associated with nonequilibrium dynamics and the Fisher information of the system. The notion of Abelian gauge theory for the non-equilibrium Fokker-Planck equation has proposed in the literature, in which the associated curvature represents internal geometry. We present the fluctuation of the gauge field can be decomposed into three parts. We further show that if we define the Fisher information matrix by using a covariant derivative then it gives correlation of the flux components but it is not gauge invariant.

Siphon Flows in Stratified Coronal Loops

1994 ◽  
Vol 144 ◽  
pp. 185-187
Author(s):  
S. Orlando ◽  
G. Peres ◽  
S. Serio
Keyword(s):  
Heat Flux ◽  
Scaling Laws ◽  
Flow Model ◽  
Supersonic Flows ◽  
Coronal Loops ◽  
Characteristic Parameters

AbstractWe have developed a detailed siphon flow model for coronal loops. We find scaling laws relating the characteristic parameters of the loop, explore systematically the space of solutions and show that supersonic flows are impossible for realistic values of heat flux at the base of the upflowing leg.

AN APPLICATION OF FOKKER–PLANCK EQUATION TO JOSEPHSON JUNCTION

1989 ◽  
Vol 9 (1) ◽  
pp. 109-120
Author(s):  
G. Liao ◽  
A.F. Lawrence ◽  
A.T. Abawi
Keyword(s):  
Josephson Junction ◽  
Planck Equation ◽  
Fokker Planck Equation ◽  
Fokker Planck

Equilibrium scaling laws for layered spin glasses

1993 ◽  
Vol 3 (10) ◽  
pp. 2041-2062 ◽  
Author(s):  
M. J. Thill ◽  
H. J. Hilhorst
Keyword(s):  
Spin Glasses ◽  
Scaling Laws ◽  
Layered Spin

Analysis of shear bands in slow granular flows using a frictional Cosserat model

2000 ◽  
Vol 627 ◽  
Author(s):  
Prabhu R. Nott ◽  
K. Kesava Rao ◽  
L. Srinivasa Mohan
Keyword(s):  
Scaling Laws ◽  
Shear Bands ◽  
Shear Layers ◽  
Theoretical Description ◽  
Field Variable ◽  
Cosserat Continuum ◽  
Momentum Balance ◽  
Rigid Plastic ◽  
Independent Field ◽  
Cosserat Model

ABSTRACTThe slow flow of granular materials is often marked by the existence of narrow shear layers, adjacent to large regions that suffer little or no deformation. This behaviour, in the regime where shear stress is generated primarily by the frictional interactions between grains, has so far eluded theoretical description. In this paper, we present a rigid-plastic frictional Cosserat model that captures thin shear layers by incorporating a microscopic length scale. We treat the granular medium as a Cosserat continuum, which allows the existence of localised couple stresses and, therefore, the possibility of an asymmetric stress tensor. In addition, the local rotation is an independent field variable and is not necessarily equal to the vorticity. The angular momentum balance, which is implicitly satisfied for a classical continuum, must now be solved in conjunction with the linear momentum balances. We extend the critical state model, used in soil plasticity, for a Cosserat continuum and obtain predictions for flow in plane and cylindrical Couette devices. The velocity profile predicted by our model is in qualitative agreement with available experimental data. In addition, our model can predict scaling laws for the shear layer thickness as a function of the Couette gap, which must be verified in future experiments. Most significantly, our model can determine the velocity field in viscometric flows, which classical plasticity-based model cannot.

Scaling laws of cylindrical shells under lateral pressure

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1669-1671
Author(s):  
A. Tabiei ◽  
J. Sun ◽  
G. J. Simitses
Keyword(s):  
Scaling Laws ◽  
Lateral Pressure ◽  
Cylindrical Shells
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