An explicit formula for the interface tension of the 2D Potts model

1992 ◽  
Vol 2 (11) ◽  
pp. 2011-2018 ◽  
Author(s):  
Christian Borgs ◽  
Wolfhard Janke
Keyword(s):  
Explicit Formula ◽  
Potts Model ◽  
Interface Tension

Interface tension and structure at Tc in the Potts model

1989 ◽  
Vol 223 (2) ◽  
pp. 213-217 ◽  
Author(s):  
K. Kajantie ◽  
Leo Kärkkäinen ◽  
K. Rummukainen
Keyword(s):  
Potts Model ◽  
Interface Tension

scholarly journals Adsorption Properties of Hydrocarbon and Fluorocarbon Surfactants Ternary Mixture at the Water-Air Interface

Molecules ◽  
2021 ◽  
Vol 26 (14) ◽  
pp. 4313
Author(s):  
Bronisław Jańczuk ◽  
Katarzyna Szymczyk ◽  
Anna Zdziennicka
Keyword(s):  
Surface Tension ◽  
Water Surface ◽  
Standard Free Energy ◽  
Ternary Mixtures ◽  
Free Energy Of Adsorption ◽  
Interface Tension ◽  
Air Interface ◽  
Surface Excess Concentration ◽  
Tail Water ◽  
Triton X

Measurements were made of the surface tension of the aqueous solutions of p-(1,1,3,3-tetramethylbutyl) phenoxypoly(ethylene glycols) having 10 oxyethylene groups in the molecule (Triton X-100, TX100) and cetyltrimethylammonium bromide (CTAB) with Zonyl FSN-100 (FC6EO14, FC1) as well as with Zonyl FSO-100 (FC5EO10, FC2) ternary mixtures. The obtained results were compared to those provided by the Fainerman and Miller equation and to the values of the solution surface tension calculated, based on the contribution of a particular surfactant in the mixture to the reduction of water surface tension. The changes of the aqueous solution ternary surfactants mixture surface tension at the constant concentration of TX100 and CTAB mixture at which the water surface tension was reduced to 60 and 50 mN/m as a function of fluorocarbon surfactant concentration, were considered with regard to the composition of the mixed monolayer at the water-air interface. Next, this composition was applied for the calculation of the concentration of the particular surfactants in the monolayer using the Frumkin equation. On the other hand, the Gibbs surface excess concentration was determined only for the fluorocarbon surfactants. The tendency of the particular surfactants to adsorb at the water-air interface was discussed, based on the Gibbs standard free energy of adsorption which was determined using different methods. This energy was also deduced, based on the surfactant tail surface tension and tail-water interface tension.

scholarly journals ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

2015 ◽  
Vol 93 (2) ◽  
pp. 186-193 ◽  
Author(s):  
MASANOBU KANEKO ◽  
MIKA SAKATA
Keyword(s):  
Explicit Formula ◽  
Multiple Zeta Values ◽  
Multiple Zeta ◽  
Maximal Height ◽  
Zeta Values ◽  
Sum Formula

We give three identities involving multiple zeta values of height one and of maximal height: an explicit formula for the height-one multiple zeta values, a regularised sum formula and a sum formula for the multiple zeta values of maximal height.

scholarly journals A minimum energy optimization approach for simulations of the droplet wetting modes using the cellular Potts model

RSC Advances ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 1875-1882
Author(s):  
Ronghe Xu ◽  
Xiaoli Zhao ◽  
Liqin Wang ◽  
Chuanwei Zhang ◽  
Yuze Mao ◽  
...  
Keyword(s):  
Potts Model ◽  
Minimum Energy ◽  
Energy Optimization ◽  
Optimization Approach ◽  
Cellular Potts Model

An optimization approach based on the synthesis minimum energy was proposed for determining droplet wetting modes.

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