Nonequilibrium Phase Transitions in Heterogeneous Catalysis

催化在许多商业上重要的领域中起着至关重要的作用。 化学反应，也是大多数化学反应的重要组成部分。 生化反应。 该补助金的重点是 流动条件下的多相催化，因为它们提供了一种 一个可以呈现相的非平衡系统的范例 稳定状态之间的过渡，宏观振荡， 甚至是混乱的行为 一个目标是了解 在动态和静态的空间相关性和波动 系统在非平衡稳态下的性质， 特别是在非平衡相变附近。 研究将 在多相催化模型上进行， 在稳态和稳态之间的连续和不连续过渡 states. 这些研究将使用数值模拟进行， 通过有限尺寸缩放分析。 数值重整化群 还将对主方程进行分析。 这些 方法将被应用于研究相关性的影响， 系统中的噪声表现为随时间变化的周期性 和混乱的行为。

Catalysis plays an essential role in many commercially important chemical reactions and is also an important element in most biochemical reactions. The focus of this grant is on models for heterogeneous catalysis under flow conditions, as they provide a paradigm of a nonequilibrium system which can exhibit phase transitions between steady states, macroscopic oscillations and even chaotic behavior. An objective is to understand the effects of spatial correlations and fluctuations on the dynamic and static properties of a system in a nonequilibrium steady state, particularly near a nonequilibrium phase transition. Research will be conducted on models for heterogeneous catalysis which exhibit both continuous and discontinuous transitions between steady states. These studies will be done using numerical simulation and by finite size scaling analysis. A numerical renormalization group analysis of the master equation will also be developed. These methods will be applied to study the effects of correlations and noise in systems that show transitions to time-dependent periodic and chaotic behavior.