Coupled theory of heat, moisture and deformation

1986 ◽  
pp. 143-158
Author(s):  
G. C. Sih ◽  
J. G. Michopoulos ◽  
S. C. Chou
Keyword(s):  
Coupled Theory

scholarly journals Spinning boson stars and hairy black holes with nonminimal coupling

2018 ◽  
Vol 27 (11) ◽  
pp. 1843009 ◽  
Author(s):  
Carlos A. R. Herdeiro ◽  
Eugen Radu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Coupling Parameter ◽  
Nonminimal Coupling ◽  
Boson Stars ◽  
Hairy Black Holes ◽  
Black Hole Solutions ◽  
Hairy Black Hole ◽  
Coupled Theory

We obtain spinning boson star solutions and hairy black holes with synchronized hair in the Einstein–Klein–Gordon model, wherein the scalar field is massive, complex and with a nonminimal coupling to the Ricci scalar. The existence of these hairy black holes in this model provides yet another manifestation of the universality of the synchronization mechanism to endow spinning black holes with hair. We study the variation of the physical properties of the boson stars and hairy black holes with the coupling parameter between the scalar field and the curvature, showing that they are, qualitatively, identical to those in the minimally coupled case. By discussing the conformal transformation to the Einstein frame, we argue that the solutions herein provide new rotating boson star and hairy black hole solutions in the minimally coupled theory, with a particular potential, and that no spherically symmetric hairy black hole solutions exist in the nonminimally coupled theory, under a condition of conformal regularity.

scholarly journals Universal coupled theory for metamaterial Bound states in the continuum

2021 ◽  
Author(s):  
Wei Huang ◽  
Songyi Liu ◽  
Yu Cheng ◽  
Jiaguang Han ◽  
Shan Yin ◽  
...  
Keyword(s):  
Bound States ◽  
Coupled Theory ◽  
The Continuum

scholarly journals Holographic RG flows and Janus solutions from matter-coupled $$N=4$$ gauged supergravity

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Parinya Karndumri
Keyword(s):  
Gauge Group ◽  
The Other ◽  
Three Dimensions ◽  
New Class ◽  
Other Hand ◽  
Genuine Solution ◽  
Coupled Theory

AbstractWe study an $$SO(2)\times SO(2)\times SO(2)\times SO(2)$$ S O ( 2 ) × S O ( 2 ) × S O ( 2 ) × S O ( 2 ) truncation of four-dimensional $$N=4$$ N = 4 gauged supergravity coupled to six vector multiplets with $$SO(4)\times SO(4)$$ S O ( 4 ) × S O ( 4 ) gauge group and find a new class of holographic RG flows and supersymmetric Janus solutions. In this truncation, there is a unique $$N=4$$ N = 4 supersymmetric $$AdS_4$$ A d S 4 vacuum dual to an $$N=4$$ N = 4 SCFT in three dimensions. In the presence of the axion, the RG flows generally preserve $$N=2$$ N = 2 supersymmetry while the supersymmetry is enhanced to $$N=4$$ N = 4 for vanishing axion. We find solutions interpolating between the $$AdS_4$$ A d S 4 vacuum and singular geometries with different residual symmetries. We also show that all the singularities are physically acceptable within the framework of four-dimensional gauged supergravity. Accordingly, the solutions are holographically dual to RG flows from the $$N=4$$ N = 4 SCFT to a number of non-conformal phases in the IR. We also find $$N=4$$ N = 4 and $$N=2$$ N = 2 Janus solutions with $$SO(4)\times SO(4)$$ S O ( 4 ) × S O ( 4 ) and $$SO(2)\times SO(2)\times SO(3)\times SO(2)$$ S O ( 2 ) × S O ( 2 ) × S O ( 3 ) × S O ( 2 ) symmetries, respectively. The former is obtained from a truncation of all scalars from vector multiplets and can be regarded as a solution of pure $$N=4$$ N = 4 gauged supergravity. On the other hand, the latter is a genuine solution of the full matter-coupled theory. These solutions describe conformal interfaces in the $$N=4$$ N = 4 SCFT with $$N=(4,0)$$ N = ( 4 , 0 ) and $$N=(2,0)$$ N = ( 2 , 0 ) supersymmetries.

Linear thermoelasticity

2020 ◽  
pp. 257-285
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Linear Theory ◽  
Mechanical Response ◽  
Thermal Response ◽  
Engineering Applications ◽  
Temperature Changes ◽  
Weakly Coupled ◽  
Linear Thermoelasticity ◽  
Basic Equations ◽  
Fully Coupled ◽  
Coupled Theory

This chapter presents a theory for the coupled thermal and mechanical response of solids under circumstances in which the deformations are small and elastic, and the temperature changes from a reference temperature are small --- a framework known as the theory of linear thermoelasticity. The basic equations of the fully-coupled linear theory of anisotropic thermoelasticity are derived. These equations are then specialized for the case of isotropic materials. Finally, as a further specialization a weakly-coupled theory in which the temperature affects the mechanical response, but the deformation does not affect the thermal response, are discussed; this is a specialization which is of importance for many engineering applications, a few of which are illustrated in the examples.

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