分散系统与浴部分合
A Vertessen1, R C Verstraten1, C Morais Smith1
1Institute for Theoretical Physics, Utrecht University, Princetonplein 5, 3584CC Utrecht, The Netherlands.
Chaos (Woodbury, N.Y.)
|June 3, 2024
概括
这项研究使用Liouville分数导数对量子扩散的Caldeira-Leggett模型进行了概括,揭示了凝聚物质物理学中的各种异常扩散行为.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子力学就是量子力学.
- 统计力学就是统计力学.
背景情况:
- 卡尔代拉-莱格特模型是研究量子扩散的基石.
- 了解异常扩散在各种物理系统中至关重要.
研究的目的:
- 为量子扩散推广卡尔代拉-莱格特模型.
- 用一个新的理论框架来研究异常扩散现象.
主要方法:
- 通过Liouville分数导数将浴室连接到系统.
- 在经典模式下推导Liouville分数Langevin方程.
- 分析平均平方位移的短期和长期行为.
主要成果:
- 一般化模型描述了广泛的异常扩散.
- 在短时间内观察到的弹道,次弹道和超弹道行为.
- 在长时间内观察到和,亚扩散和超扩散.
结论:
- 柳维尔的分数导数方法为量子扩散提供了一个多功能框架.
- 这个模型成功地捕获了各种异常扩散模式,没有光谱功能的约束.
- 这些发现有助于更深入地了解量子运输现象.
相关概念视频
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
289
Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
289
Theories of Dissolution: Diffusion Layer Model
734
Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
This process starts with a thin layer, saturated with the drug, forming at the interface between the solid and liquid. The solute then diffuses from this layer into the main solution. The Noyes-Whitney equation suggests that the rate of dissolution relies on the diffusion...
734
Types of Damping
6.4K
If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
6.4K
Solution Equilibrium and Saturation
18.6K
Imagine adding a small amount of sugar to a glass of water, stirring until all the sugar has dissolved, and then adding a bit more. You can repeat this process until the sugar concentration of the solution reaches its natural limit, a limit determined primarily by the relative strengths of the solute-solute, solute-solvent, and solvent-solvent attractive forces. You can be certain that you have reached this limit because, no matter how long you stir the solution, undissolved sugar remains. The...
18.6K
Classification of Systems-II
140
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
140
Aqueous Solutions and Heats of Hydration
14.7K
Water and other polar molecules are attracted to ions. The electrostatic attraction between an ion and a molecule with a dipole is called an ion-dipole attraction. These attractions play an important role in the dissolution of ionic compounds in water.
When ionic compounds dissolve in water, the ions in the solid separate and disperse uniformly throughout the solution because water molecules surround and solvate the ions, reducing the strong electrostatic forces between them. This process...
When ionic compounds dissolve in water, the ions in the solid separate and disperse uniformly throughout the solution because water molecules surround and solvate the ions, reducing the strong electrostatic forces between them. This process...
14.7K


