Simulated quenching to the zero‐temperature limit of the grand‐canonical ensemble

1992 ◽  
Vol 97 (4) ◽  
pp. 2651-2658 ◽  
Author(s):  
S. R. Phillpot ◽  
J. M. Rickman
Keyword(s):  
Canonical Ensemble ◽  
Temperature Limit ◽  
Grand Canonical Ensemble ◽  
Zero Temperature ◽  
Grand Canonical

scholarly journals Gravitational duals to the grand canonical ensemble abhor Cauchy horizons

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Sean A. Hartnoll ◽  
Gary T. Horowitz ◽  
Jorrit Kruthoff ◽  
Jorge E. Santos
Keyword(s):  
Black Hole ◽  
Canonical Ensemble ◽  
Temperature Limit ◽  
Grand Canonical Ensemble ◽  
Cauchy Horizon ◽  
Inner Horizon ◽  
Scalar Operator ◽  
Black Hole Interior ◽  
Specific Temperature ◽  
Grand Canonical

Abstract The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes — for example Reissner- Nordström-AdS — can have Cauchy horizons that render the classical gravitational dynamics of the black hole interior incomplete. We show that a (spatially uniform) deformation of the CFT by a neutral scalar operator generically leads to a black hole with no inner horizon. There is instead a spacelike Kasner singularity in the interior. For relevant deformations, Cauchy horizons never form. For certain irrelevant deformations, Cauchy horizons can exist at one specific temperature. We show that the scalar field triggers a rapid collapse of the Einstein-Rosen bridge at the would-be Cauchy horizon. Finally, we make some observations on the interior of charged dilatonic black holes where the Kasner exponent at the singularity exhibits an attractor mechanism in the low temperature limit.

scholarly journals Reconstruction of a High-Angle Twist Grain Boundary by Grand-Canonical Simulated Quenching

1991 ◽  
Vol 238 ◽  
Author(s):  
S. R. Phillpot ◽  
J. M. Rickman
Keyword(s):  
Grain Boundary ◽  
Energy Minimization ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Energy Structure ◽  
Temperature Structure ◽  
Zero Temperature ◽  
High Angle ◽  
Grand Canonical

ABSTRACTA formalism for obtaining the zero-temperature structure of mono-component solids by simulated quenching in the grand-canonical ensemble is outlined. The structure of a high-angle twist grain boundary on the (110) plane of an fee metal is investigated. The lowest energy structure is found to have a density approximately 20% higher than the structure obtained from canonical-ensemble energy-minimization.

scholarly journals Phase diagram of brittle fracture in the semi-grand-canonical ensemble

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
T. Mulla ◽  
S. Moeini ◽  
K. Ioannidou ◽  
R. J.-M. Pellenq ◽  
F.-J. Ulm
Keyword(s):  
Phase Diagram ◽  
Brittle Fracture ◽  
Canonical Ensemble ◽  
Grand Canonical Ensemble ◽  
Grand Canonical
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