A continuum state variable theory to model the size-dependent surface energy of nanostructures

2015 ◽  
Vol 17 (38) ◽  
pp. 25494-25498 ◽  
Author(s):  
Mostafa Jamshidian ◽  
Prakash Thamburaja ◽  
Timon Rabczuk
Keyword(s):  
Free Energy ◽  
Energy Density ◽  
Surface Energy ◽  
Surface Free Energy ◽  
Free Energy Density ◽  
Continuum State ◽  
Variable Theory ◽  
Size Dependent ◽  
State Variable ◽  
Excess Surface

We propose a continuum-based state variable theory to quantify the excess surface free energy density throughout a nanostructure.

Examination of the lubricant storing and releasing ability of thermally sprayed surfaces

2011 ◽  
Vol 2 (2) ◽  
pp. 101-105
Author(s):  
L. Fazekas ◽  
Z. S. Tiba ◽  
G. Kalácska
Keyword(s):  
Free Energy ◽  
Surface Energy ◽  
Surface Free Energy ◽  
Essential Role ◽  
Index Number ◽  
Adhesion Ability ◽  
Thermally Sprayed ◽  
Proper Operation

Abstract The lubricant storing and releasing ability of the thermally sprayed surfaces plays an essential role in the proper operation of the components. In the case of porous sprayed surfaces the lubricant storing and releasing ability depends mainly on porosity and the surface energy (adhesion susceptibility). The adhesion ability can also be expressed indirectly with an index number that is by determining the surface free energy.

On nematic surface energies

1997 ◽  
Vol 8 (3) ◽  
pp. 293-299 ◽  
Author(s):  
SANDRO FAETTI ◽  
EPIFANIO G. VIRGA
Keyword(s):  
Free Energy ◽  
Liquid Crystal ◽  
Energy Density ◽  
Continuum Theory ◽  
Free Energy Density ◽  
Optic Axis ◽  
Principal Curvatures ◽  
Equilibrium Equations ◽  
Line Integral ◽  
Surface Energies

We review the main outcomes of a continuum theory for the equilibrium of the interface between a nematic liquid crystal and an isotropic environment, in which the surface free energy density bears terms linear in the principal curvatures of the interface. Such geometric contributions to the energy occur together with more conventional elastic contribution, leading to an effective azimuthal anchoring of the optic axis, which breaks the isotropic symmetry of the interface. The theory assumes the interface to be fixed, as for a rigid cavity filled with liquid crystal, and so it does not apply to drops. It should be appropriate when the curvatures of the interface are small compared to that of the molecular interaction sphere. Also, interfaces bearing a sharp edge are encompassed within the theory; a line integral expresses the energy condensed along the edge: we see how it affects the equilibrium equations.

scholarly journals Fluctuations and phase transitions of uniaxial and biaxial liquid crystals using a theoretically informed Monte Carlo and a Landau free energy density

2019 ◽  
Vol 31 (17) ◽  
pp. 175101
Author(s):  
Stiven Villada-Gil ◽  
Viviana Palacio-Betancur ◽  
Julio C Armas-Pérez ◽  
Juan J de Pablo ◽  
Juan P Hernández-Ortiz
Keyword(s):  
Monte Carlo ◽  
Free Energy ◽  
Phase Transitions ◽  
Liquid Crystals ◽  
Energy Density ◽  
Free Energy Density ◽  
Landau Free Energy ◽  
Biaxial Liquid Crystals

Insights into graphene wettability transparency by locally probing its surface free energy

Nanoscale ◽  
2019 ◽  
Vol 11 (16) ◽  
pp. 7944-7951 ◽  
Author(s):  
Jin-You Lu ◽  
Tuza Olukan ◽  
Srinivasa Reddy Tamalampudi ◽  
Abdulrahman Al-Hagri ◽  
Chia-Yun Lai ◽  
...  
Keyword(s):  
Free Energy ◽  
Chemical Vapor Deposition ◽  
Surface Energy ◽  
Surface Free Energy ◽  
Vapor Deposition ◽  
Chemical Vapor ◽  
Multilayer Graphene ◽  
Natural Graphite

In this work, we study the surface energy of monolayer, bilayer and multilayer graphene coatings, produced through exfoliation of natural graphite flakes and chemical vapor deposition.

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