Theory of Non-linear Heat Conduction

大温度梯度下的热输运是一个非常重要的课题 当前兴趣为了开发移除植入物的方法 离子注入材料中的损伤，并且还产生亚稳态 化合物和过饱和合金，重要的是实现快速 半导体材料的熔化和随后的再结晶。 当热量在固相中流动时， 因为每厘米10度并不罕见。 在足够大的 温度梯度，热传导变得异常，特别是 靠近固液界面。 这一现象尚未完全 但是众所周知，高温下的热传导 在半导体涉及几个过程，包括一些高度 非线性的，这可能有助于异常的情况。 在这个研究项目中，Gerald Mahan教授与 智利天主教大学的弗朗西斯科克拉罗教授计划， 研究热诱导载流子的捕获 在硅和锗中的固体-熔体界面附近的间隙变窄。 能带变窄产生了一个限制势， 有助于发展电子传热理论， 电子空穴对 此外，研究人员还对 温度抑制热传导的阈值 梯度，并在获得稳定的热流下的空间轮廓 靠近固-熔界面。 马汉教授的 半导体和非线性输运理论的专业知识， Claro教授在热传输方面的互补背景 技术，创建了一个高素质的团队来解决这个复杂的问题， 重要的研究。 这种合作的共同利益 满足发展中国家科学的一个重要标准 程序.

Heat transport under a large temperature gradient is a topic of much current interest. In order to develop methods for removing implantation damage in ion-implanted materials and, also, to produce metastable compounds and supersaturated alloys, it is important to achieve rapid melting and subsequent recrystallization of semiconductor materials. As heat flows in the solid phase, temperature profiles varying as much as 10 degrees per centimeter are not unusual. Under a large enough temperature gradient, heat conduction becomes anomalous, particularly near solid-liquid interfaces. The phenomenon is not yet fully understood but it is known that thermal conduction at high temperatures in semiconductors involves several processes, including some highly non-linear ones, that may contribute to the anomalous case. In this research project, Professor Gerald Mahan, in collaboration with Professor Francisco Claro of the Catholic University of Chile plans to investigate the trapping of carriers by a thermally induced gap-narrowing near the solid-melt interface in silicon and germanium. The band narrowing produces a confining potential that should be helpful in developing a theory of heat transport by electrons and electron-hole pairs. Additionally, the investigators are interested in the threshold for suppression of thermal conduction by temperature gradients, and in obtaining the space profile under steady heat flow near solid-melt interfaces. The combination of Professor Mahan's expertise with semiconductors and with nonlinear transport theory, with Professor Claro's complementary background in thermal transport techniques, creates a highly qualified team for addressing this complex and significant research. The mutual benefits of this collaboration fulfill an important criterion of the Science in Developing Countries Program.