导向正规随机图上的Ising类模型中的热浴和大都市动力学
Adam Lipowski1, António L Ferreira2, Dorota Lipowska3
1Faculty of Physics, Adam Mickiewicz University in Poznań, 61-614 Poznań, Poland.
Entropy (Basel, Switzerland)
|December 23, 2023
概括
平均场近似 (MFA) 准确地描述了以热浴动态为导向图的Ising-like模型. 在MFA中,MFA是最重要的.
科学领域:
- 统计力学 统计力学
- 网络科学 网络科学
- 计算物理 计算物理
背景情况:
- 类似伊辛的模型是统计力学中的基础.
- 了解复杂网络上的不平衡模型至关重要.
- 定向正则随机图提供了一个可处理的网络结构.
研究的目的:
- 在定向正则随机图上研究以Ising类模型的平均场近似 (MFA) 的准确性.
- 将MFA与蒙特卡洛模拟进行比较,并生成功能分析.
- 分析不同动态 (热浴与大都市) 对模型行为的影响.
主要方法:
- 单个站点的平均场近似 (MFA).
- 蒙特卡洛的模拟.
- 对Ising的定向网络实施,与吸收状态的Ising以及多数选民模型的分析.
主要成果:
- 在这些图表上,MFA准确地复制了热浴动态模型的静态特征.
- MFA的结果与生成热浴动态的功能分析一致.
- 由于忽略了相关性,MFA显示了大都会动态模型的精度降低.
- 热浴模型显示连续的相位过渡,大都市模型显示不连续的过渡.
结论:
- MFA 提供了对因无关联邻居而导致的定向正则随机图上热浴动态的 Ising-like 模型的准确描述.
- 这些特定图表上的邻国不相关的性质是MFA成功的关键.
- 对大都会动态来说,相关性变得很重要,限制了MFA的准确性.
- 具有热浴动态的模型在临界点属于Ising平均场普遍性类.
相关概念视频
Thermal Sigmatropic Reactions: Overview
2.1K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
2.1K
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
56
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
56
Stability of Conjugated Dienes
3.4K
Introduction
A comparison of the enthalpies of hydrogenation of dienes reveals that conjugated dienes release less heat on hydrogenation, rendering them more stable than their nonconjugated analogs.
A comparison of the enthalpies of hydrogenation of dienes reveals that conjugated dienes release less heat on hydrogenation, rendering them more stable than their nonconjugated analogs.
3.4K
Heating and Cooling Curves
22.9K
When a substance—isolated from its environment—is subjected to heat changes, corresponding changes in temperature and phase of the substance is observed; this is graphically represented by heating and cooling curves.
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
For instance, the addition of heat raises the temperature of a solid; the amount of heat absorbed depends on the heat capacity of the solid (q = mcsolidΔT). According to thermochemistry, the relation between the amount of heat absorbed or released by a substance, q, and its...
22.9K


