scholarly journals Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space

2011 ◽  
Vol 3 (0) ◽  
Author(s):  
Luis Ariel Pugnaloni ◽  
José Damas ◽  
Iker Zuriguel ◽  
Diego Maza
Keyword(s):  
Phase Space ◽  
Stress Tensor ◽  
Stationary States ◽  
Master Curves ◽  
Tensor Invariants ◽  
Thermodynamic Phase

scholarly journals Metric Thermodynamic Phase Space and Stability Problems

2016 ◽  
Vol 49 (24) ◽  
pp. 52-57
Author(s):  
Nicolas Hudon ◽  
Martin Guay ◽  
Denis Dochain
Keyword(s):  
Phase Space ◽  
Stability Problems ◽  
Thermodynamic Phase

scholarly journals Reparametrizations and metric structures in thermodynamic phase space

2021 ◽  
Vol 563 ◽  
pp. 125464
Author(s):  
V. Pineda-Reyes ◽  
L.F. Escamilla-Herrera ◽  
C. Gruber ◽  
F. Nettel ◽  
H. Quevedo
Keyword(s):  
Phase Space ◽  
Metric Structures ◽  
Thermodynamic Phase

Nonlinear drift phase-space structures

1992 ◽  
Vol 47 (3) ◽  
pp. 401-429
Author(s):  
Sharadini Rath ◽  
P. K. Kaw
Keyword(s):  
Phase Space ◽  
Numerical Solutions ◽  
Physical Space ◽  
Nonlinear Effects ◽  
Two Dimensions ◽  
Space Structures ◽  
Stationary States ◽  
Relative Importance ◽  
Poisson System ◽  
The Magnetic Field

The collisionless Vlasov–Poisson system in the drift approximation is examined for the existence of maximum-entropy nonlinear coherent solutions in the steady state. Two major nonlinear effects are taken into account. The first is the velocity-space trapping of particles, leading to closed trajectories in phase space. The second is the physical-space trapping of particles, leading to closed trajectories in the plane perpendicular to the magnetic field. The regions of validity of these nonlinearities are discussed and their relative importance demonstrated. Numerical solutions of the equations describing the nonlinear stationary states in one and two dimensions are presented.

Dynamics control of an in-plane-switching liquid crystal cell using heterogeneous substrates

Soft Matter ◽  
2020 ◽  
Vol 16 (2) ◽  
pp. 348-356
Author(s):  
Kuang-Wu Lee ◽  
Takeaki Araki ◽  
Jun Yamamoto
Keyword(s):  
Liquid Crystal ◽  
Phase Space ◽  
Recovery Phase ◽  
Liquid Crystal Cell ◽  
Master Curves ◽  
Crystal Cell

Cell-depth dependent master curves are found in the transmittance/recovery phase space, for a IPS-LCD configuration using heterogeneous substrates.

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