Hydrodynamic modes for a Lorentz gas with a periodic configuration of scatterers

1987 ◽  
pp. 101-112
Author(s):  
K. M. Efimov ◽  
Ya. G. Sinaĭ
Keyword(s):  
Lorentz Gas ◽  
Hydrodynamic Modes ◽  
Periodic Configuration

Hard Ball Systems and the Lorentz Gas

2000 ◽  
Author(s):  
L. A. Bunimovich ◽  
D. Burago ◽  
N. Chernov ◽  
E. G. D. Cohen ◽  
C. P. Dettmann ◽  
...  
Keyword(s):  
Lorentz Gas ◽  
Hard Ball

scholarly journals Critical behaviour of hydrodynamic series

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
M. Asadi ◽  
H. Soltanpanahi ◽  
F. Taghinavaz
Keyword(s):  
Chemical Potential ◽  
Transport Coefficients ◽  
Hydrodynamic Modes ◽  
Third Order ◽  
Hydrodynamic Mode ◽  
Strongly Coupled ◽  
Conformal Theory ◽  
Shear Dispersion ◽  
Type Iib String Theory ◽  
Hydrodynamic Transport

Abstract We investigate the time-dependent perturbations of strongly coupled $$ \mathcal{N} $$ N = 4 SYM theory at finite temperature and finite chemical potential with a second order phase transition. This theory is modelled by a top-down Einstein-Maxwell-dilaton description which is a consistent truncation of the dimensional reduction of type IIB string theory on AdS5×S5. We focus on spin-1 and spin-2 sectors of perturbations and compute the linearized hydrodynamic transport coefficients up to the third order in gradient expansion. We also determine the radius of convergence of the hydrodynamic mode in spin-1 sector and the lowest non-hydrodynamic modes in spin-2 sector. Analytically, we find that all the hydrodynamic quantities have the same critical exponent near the critical point θ = $$ \frac{1}{2} $$ 1 2 . Moreover, we propose a relation between symmetry enhancement of the underlying theory and vanishing of the only third order hydrodynamic transport coefficient θ1, which appears in the shear dispersion relation of a conformal theory on a flat background.

Periodic orbit expansions for the Lorentz gas

1994 ◽  
Vol 75 (3-4) ◽  
pp. 553-584 ◽  
Author(s):  
Gary P. Morris ◽  
Lamberto Rondoni
Keyword(s):  
Periodic Orbit ◽  
Lorentz Gas

Second Order Two-Scale Method for Composite Plate with 3-D Periodic Configuration under Condition of Coupled Thermoelasticity

2014 ◽  
Vol 898 ◽  
pp. 7-10 ◽  
Author(s):  
Zi Qiang Wang ◽  
Jun Ying Cao
Keyword(s):  
Composite Plate ◽  
Second Order ◽  
Computational Method ◽  
Deformation Pattern ◽  
Effective Parameters ◽  
Coupled Thermoelasticity ◽  
Integral Projection ◽  
Cell Functions ◽  
Periodic Configuration ◽  
Micro Structures

In this paper, we give a second-order two-scale (SOTS) computational method for composite plate with 3-D periodic configuration under condition of coupled thermoelasticity by means of construction way. Based on the Reissner-Mindlin deformation pattern and integral projection operator of temperature, the homogenization solution is obtained. The SOTS's approximate solution is constructed by the cell functions and the homogenization solution. A set of numerical results are demonstrated for predicting the effective parameters, the displacement and temperature of composite plate. It shows that SOTS's method can capture the 3-D local behaviors caused by 3-D micro-structures well.

Sign in / Sign up

Export Citation Format

Share Document