标题： 具有波动拓扑的自回避随机曲面 显示英文标题

标题： Self-avoiding random surfaces with fluctuating topology

摘要： 具有任意多项式与高斯曲率耦合以及外在曲率项的自避面气体可以在三维Ising体心立方晶格中通过仅有三个局域耦合实现。 类似的三参数实现也适用于其他晶格。 讨论了皱缩转变与粗糙化之间的关系。 结果表明这些表面的平均面积与其亏格成正比。 显示英文摘要

摘要： A gas of self-avoiding surfaces with an arbitrary polynomial coupling to the gaussian curvature and an extrinsic curvature term can be realized in a three-dimensional Ising bcc lattice with only three local couplings. Similar three parameter realizations are valid also in other lattices. The relation between the crumpling transition and the roughening is discussed. It turns out that the mean area of these surfaces is proportional to its genus.