Modulated phases of a 1D sharp interface model in a magnetic field

Interfaces, modulated phases and textures in lattice systems

We introduce a class of $n$-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by a phase-transition energy which we compute by means of variational techniques. Degeneracies due to frustration are also discussed.

调制相位的接口

Interfaces of Modulated Phases

数值最小化连续的自由能功能，产生几个调制阶段，我们得到的顺序参数配置文件和界面自由能的对称和非对称倾斜边界内的层状相，和共存的层状，六角和无序相之间的接口。我们的研究结果同意以及观察到的二嵌段共聚物和磁性石榴石薄膜的V形，欧米茄和T-结倾斜边界形态。

具有调制表面电荷密度的双电层的接触值定理

Contact value theorem for electric double layers with modulated surface charge density

本文将接触值定理从均匀表面电荷密度推广至调制表面电荷密度的双电层，基于界面力平衡推导，并在仅含反离子的二维库仑系统（Γ=2）中验证了特定项的相关性。

A model of dispersive transport across sharp interfaces between porous materials

Recent laboratory experiments on solute migration in composite porous columns have shown an asymmetry in the solute arrival time upon reversal of the flow direction, which is not explained by current paradigms of transport. In this work, we propose a definition for the solute flux across sharp interfaces and explore the underlying microscopic particle dynamics by applying Monte Carlo simulation. Our results are consistent with previous experimental findings and explain the observed transport asymmetry. An interpretation of the proposed physical mechanism in terms of a flux rectification is als…

Bound states of fractionalized excitations in a modulated Kitaev spin liquid

Fractionalization is a hallmark of spin-liquid behavior; it typically leads to response functions consisting of continua instead of sharp modes. However, microscopic processes can enable the formation of short-distance bound states of fractionalized excitations, despite asymptotic deconfinement. Here we study such bound-state formation for the $Z_2$ spin liquid realized in Kitaev's honeycomb compass model, supplemented by a kekule distortion of the lattice. Bound states between flux pairs and Majorana fermions form in the Majorana band gaps. We calculate the dynamic spin susceptibility and sho…

涨落相场模型的锐界面极限

Sharp-Interface Limit of a Fluctuating Phase-Field Model

我们提出了一个通用的凝固波动相场模型的尖锐的界面限制的推导。作为一个主要的结果，我们得到了一个尖锐的接口投影，提出了噪声项的扩散方程和移动边界条件。所提出的方法不依赖于波动耗散定理，因此可以应用于考虑内部和外部波动的变分或非变分相场制剂。特别是，它可以用来引入非变分公式的相场模型，这允许达到更好的计算效率，并提供更多的灵活性，描述特定的物理情况下的一些功能的周期性波动。这打开了在晶体生长中进行定量相场模拟的可能性，同时考虑到系统的适当波动。