具有随机参数的莱维步行式朗格温动力学
Yao Chen1, Xudong Wang2, Mengyan Ge1
1College of Sciences, Nanjing Agricultural University, Nanjing 210095, People's Republic of China.
Chaos (Woodbury, N.Y.)
|January 10, 2024
概括
不均环境中的随机系统参数会影响异常扩散. 对于放松时间 (τ) 的修改后的莱维分布减缓了相关性,与莱维步行超扩散相竞争.
科学领域:
- 物理 物理学 物理
- 统计力学 统计力学
- 复杂的系统复杂的系统.
背景情况:
- 异常扩散在复杂,不均的环境中普遍存在.
- 莱维步行是异常扩散的一个模型,表现出超扩散.
研究的目的:
- 在不均的环境中使用低阻尼的朗格温系统与附属器相结合来描述粒子轨迹.
- 调查随机系统参数 (放松时间表t,速度扩散率s) 对莱维步行动态的影响.
主要方法:
- 通过低阻尼的朗格温系统模拟粒子运动.
- 将兰格温系统与一个下属器合起来,以表示异常扩散.
- 分析随机 τ 和 σ 对扩散行为的影响.
主要成果:
- 随机速度扩散率 (σ) 对整体平均扩散有微不足道的影响.
- 随机放松时间尺度 (τ) 的特定分布减缓了速度相关性衰减.
- 随机t与莱维步行的固有超扩散相竞争,并且依赖于下属.
结论:
- 随机系统参数在异常扩散中引入了新的动态,需要详细分析.
- 放松时间的分布 (τ) 在复杂系统中显著影响扩散行为.
- 了解这些参数对于准确建模异常扩散至关重要.
更多相关视频
05:00Author Spotlight: Streamlining Visual Dynamics to Simplify Molecular Dynamics Simulations Using Gromacs
Published on: August 9, 2024
1.3K
09:17Structure-Based Simulation and Sampling of Transcription Factor Protein Movements along DNA from Atomic-Scale Stepping to Coarse-Grained Diffusion
Published on: March 1, 2022
3.2K
相关概念视频
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Trends in Lattice Energy: Ion Size and Charge
23.9K
An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
23.9K
Fermi Level Dynamics
250
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
250
Entropy and Solvation
7.1K
The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ...
7.1K
The de Broglie Wavelength
25.9K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
25.9K
Equilibrium Conditions for a Particle
1.1K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.1K
