分散使多方相关性能够进行强大的广泛扩展
Krzysztof Ptaszyński1,2, Massimiliano Esposito1
1University of Luxembourg, Complex Systems and Statistical Mechanics, Department of Physics and Materials Science, 30 Avenue des Hauts-Fourneaux, L-4362 Esch-sur-Alzette, Luxembourg.
Physical review letters
|August 18, 2025
概括
复杂网络中的多方相关性在平衡状态下不会扩大. 相关性的广泛扩展需要消散,并且发生在具有动态吸引子的不平衡系统中,如极限周期.
科学领域:
- 统计物理学的统计物理.
- 网络理论 网络理论
- 信息理论是信息理论.
背景情况:
- 理解复杂系统需要分析多方相关性.
- 这些关联在平衡状态与不平衡状态中的行为尚未完全理解.
研究的目的:
- 在互动的随机单位的大型网络中研究多方互动信息.
- 确定相关性广泛扩展的条件.
主要方法:
- 在位不变网络中分析多方互联信息.
- 研究系统动态放松到固定点和时间依赖的吸引器.
- 使用不平衡波茨模型作为一个说明.
主要成果:
- 在平衡静止状态下,多方相关性的广泛缩放是不稳定的.
- 在热力学平衡下,强大的扩展是不可能的.
- 相互信息的广泛扩展发生在远离平衡的系统中,这些系统具有时间依赖的吸引力 (例如,极限周期).
结论:
- 消散对于产生和维持多方相关性至关重要.
- 没有平衡的动态对于强大的广泛相关性扩展至关重要.
相关概念视频
Extraction: Partition and Distribution Coefficients
2.9K
The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
For extracting a solute from an aqueous phase into an...
2.9K
Distribution and Dispersion
22.4K
To understand intra-specific interactions in populations, scientists measure the spatial arrangement of species individuals. This geographic arrangement is known as the species distribution or dispersion. Highly territorial species exhibit a uniform distribution pattern, in which individuals are spaced at relatively equal distances from one another. Species that are highly tied to particular resources, such as food or shelter, tend to concentrate around those resources, and thus exhibit a...
22.4K
Theories of Dissolution: Diffusion Layer Model
932
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...
932
Maximum Size of Aggregate
229
The maximum size of aggregate is defined as the aperture of the sieve retaining 15 percent or more of the particles present in the aggregate sample. The aggregate's maximum size impacts the concrete's water requirement, workability, and strength. Larger aggregates reduce the surface area needing cement paste coverage, which can lower water needs, thereby allowing a decrease in the water-to-cement ratio when the desired workability and richness of the mix are to be maintained, which can...
229
Correlations
33.8K
Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
33.8K
Correlation of Experimental Data
269
Dimensional analysis simplifies complex physical problems and guides experimental investigations, but it does not provide complete solutions. It identifies the dimensionless groups that influence a phenomenon, but experimental data is needed to establish the specific relationships and validate theoretical predictions.
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
For example, a spherical particle moving through a viscous fluid experiences drag. Dimensional analysis shows that the drag force depends on the particle's diameter, velocity,...
269


