On a type of non-classical boundary condition of Lagrangian field
Mathematical Physics
2018-02-13 v2 Materials Science
math.MP
Abstract
In the framework of the Lagrangian field theory, we derive a type of new non-classical natural boundary condition to be correlated with the mean curvature of boundary surface. Under the condition of homogeneity and isotropy, this type of boundary condition can be simplified into the Tolman's formula in which the size effect of surface tension is prescribed.
Keywords
Cite
@article{arxiv.1706.05615,
title = {On a type of non-classical boundary condition of Lagrangian field},
author = {Zaixing Huang},
journal= {arXiv preprint arXiv:1706.05615},
year = {2018}
}
Comments
This is a revised version in which a omitted term is added to Eq(4). Correspondingly, Eq(6), (9), (10-15), (18) and (21) are also revised