Pimpinelli Alberto, Gebremariam Hailu, Einstein T L
Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.
Phys Rev Lett. 2005 Dec 9;95(24):246101. doi: 10.1103/PhysRevLett.95.246101. Epub 2005 Dec 5.
We use a Fokker-Planck equation to justify the generalization of the Wigner surmise for the energy-level spacing in quantum systems to the simple expression for the equilibrium terrace-width distribution of steps--with arbitrary-strength repulsions--on a vicinal surface, taking advantage of analogies to one-dimensional models of interacting, spinless fermions. This approach leads to an analytic description of the evolution toward equilibrium of steps from several experimentally relevant initial distributions: step bunches, perfect cleaved crystals, and prequench equilibrated distributions at different temperatures.
我们利用与无自旋相互作用费米子的一维模型的类比，使用福克 - 普朗克方程来证明量子系统中能级间距的维格纳推测推广到邻位面具有任意强度排斥作用的台阶平衡台宽分布的简单表达式。这种方法能够对从几个与实验相关的初始分布（台阶束、完美解理晶体以及不同温度下的预淬火平衡分布）向台阶平衡状态演化进行解析描述。
