Surface Tension, Pressure Difference and Laplace Formula for Membranes

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Koibuchi, Hiroshi^1 ; Shobukhov, Andrey^2

Department of Mechanical and Systems Engineering, National Institute of Technology, Ibaraki College, Nakane 866, Ibaraki, Hitachinaka

312-8508, Japan^1

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Leninskiye Gory, Moscow

119991, Russia^2

关键词: Bending rigidity;    Cell biology;    Discrete models;    Laplace pressure;    Monte carlo simulation technique;    Pressure differences;    Reasonable accuracy;    Triangulated surfaces;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012101/pdf
DOI  :  10.1088/1742-6596/574/1/012101

来源: IOP

【 摘 要 】

The surface tension γ and the pressure difference Δp for spherical membranes are calculated using Monte Carlo simulation technique. We study the so-called tethered and uid surface discrete models that are defined on the fixed-connectivity (tethered) and dynamically triangulated (uid) lattices respectively. Hamiltonians of the models include a self-avoiding potential, which makes the enclosed volume well defined. We find that there is reasonable accuracy in the technique for the calculation of γ using the real area A if the bending rigidity κ or A/N is sufficiently large. We also find that γ becomes constant in the limit of A/N both in the tethered and uid surfaces. The property limA/N γ = const corresponds to certain experimental results in cell biology.