scholarly journals Thermodynamics and structure of a two-dimensional electrolyte by integral equation theory

2014 ◽  
Vol 140 (18) ◽  
pp. 184509 ◽  
Author(s):  
Jana Aupic ◽  
Tomaz Urbic
Keyword(s):  
Integral Equation ◽  
Integral Equation Theory ◽  
Two Dimensional

Orientation-dependent integral equation theory for a two-dimensional model of water

2003 ◽  
Vol 118 (12) ◽  
pp. 5516-5525 ◽  
Author(s):  
T. Urbič ◽  
V. Vlachy ◽  
Yu. V. Kalyuzhnyi ◽  
K. A. Dill
Keyword(s):  
Integral Equation ◽  
Integral Equation Theory ◽  
Two Dimensional ◽  
Dimensional Model ◽  
Two Dimensional Model

Integral equation theory of hard sphere liquids on two-dimensional cylindrical surfaces

2006 ◽  
Vol 321 (1-2) ◽  
pp. 111-118
Author(s):  
Takafumi Iwaki ◽  
Chwen-Yang Shew ◽  
Godfrey Gumbs
Keyword(s):  
Integral Equation ◽  
Hard Sphere ◽  
Integral Equation Theory ◽  
Two Dimensional ◽  
Hard Sphere Liquids

scholarly journals Integral equation theory for two-dimensional polymer melts

2005 ◽  
Vol 122 (9) ◽  
pp. 094910 ◽  
Author(s):  
Arun Yethiraj ◽  
Bong June Sung ◽  
Fred Lado
Keyword(s):  
Integral Equation ◽  
Polymer Melts ◽  
Integral Equation Theory ◽  
Two Dimensional

An Integral Equation Theory for Two Dimensional Molecular Fluids

2018 ◽  
Vol 47 (7) ◽  
pp. 901-904 ◽  
Author(s):  
Tomoaki Yagi ◽  
Hirofumi Sato
Keyword(s):  
Integral Equation ◽  
Integral Equation Theory ◽  
Two Dimensional ◽  
Molecular Fluids

Thermodynamics and structure of a two-dimensional asymmetric electrolyte by integral equation theory

2017 ◽  
Vol 115 (13) ◽  
pp. 1572-1581 ◽  
Author(s):  
Paulina Prslja ◽  
Jana Aupic ◽  
Tomaz Urbic
Keyword(s):  
Integral Equation ◽  
Integral Equation Theory ◽  
Two Dimensional

Selective Ion Binding by Protein Probed with the Statistical Mechanical Integral Equation Theory

2007 ◽  
Vol 111 (17) ◽  
pp. 4588-4595 ◽  
Author(s):  
Norio Yoshida ◽  
Saree Phongphanphanee ◽  
Fumio Hirata
Keyword(s):  
Integral Equation ◽  
Integral Equation Theory ◽  
Ion Binding ◽  
Statistical Mechanical

Integral equation theory of biaxial liquid crystalline system

2021 ◽  
Author(s):  
Sahire Azam Ansary ◽  
Pankaj Mishra
Keyword(s):  
Integral Equation ◽  
Liquid Crystalline ◽  
Integral Equation Theory ◽  
Crystalline System ◽  
Liquid Crystalline System

Comparison of atomic force microscopy force curve and solvation structure studied by integral equation theory

2021 ◽  
Vol 154 (16) ◽  
pp. 164702
Author(s):  
Kota Hashimoto ◽  
Ken-ichi Amano ◽  
Naoya Nishi ◽  
Hiroshi Onishi ◽  
Tetsuo Sakka
Keyword(s):  
Integral Equation ◽  
Atomic Force Microscopy ◽  
Integral Equation Theory ◽  
Force Curve ◽  
Force Microscopy ◽  
Atomic Force ◽  
Solvation Structure

scholarly journals Nonlinear two-dimensional free surface solutions of flow exiting a pipe and impacting a wedge

2021 ◽  
Vol 126 (1) ◽  
Author(s):  
Alex Doak ◽  
Jean-Marc Vanden-Broeck
Keyword(s):  
Surface Tension ◽  
Integral Equation ◽  
Free Surface ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Two Dimensional ◽  
Numerical Schemes ◽  
Additional Advantage ◽  
Infinite Wedge ◽  
Good Agreement

AbstractThis paper concerns the flow of fluid exiting a two-dimensional pipe and impacting an infinite wedge. Where the flow leaves the pipe there is a free surface between the fluid and a passive gas. The model is a generalisation of both plane bubbles and flow impacting a flat plate. In the absence of gravity and surface tension, an exact free streamline solution is derived. We also construct two numerical schemes to compute solutions with the inclusion of surface tension and gravity. The first method involves mapping the flow to the lower half-plane, where an integral equation concerning only boundary values is derived. This integral equation is solved numerically. The second method involves conformally mapping the flow domain onto a unit disc in the s-plane. The unknowns are then expressed as a power series in s. The series is truncated, and the coefficients are solved numerically. The boundary integral method has the additional advantage that it allows for solutions with waves in the far-field, as discussed later. Good agreement between the two numerical methods and the exact free streamline solution provides a check on the numerical schemes.

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