Related Experiment Video
Updated: Sep 11, 2025
07:11
Author Spotlight: Emerging Technologies and Advanced Tools for Decoding Metabolomics Data Analysis
Published on: November 10, 2023
2.7K
Dissipation Enables Robust Extensive Scaling of Multipartite Correlations
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
Summary
Multipartite correlations in complex networks do not scale extensively at equilibrium. Extensive scaling of correlations requires dissipation and occurs in nonequilibrium systems with dynamic attractors like limit cycles.
Area of Science:
- Statistical physics
- Network theory
- Information theory
Background:
- Understanding complex systems requires analyzing multipartite correlations.
- The behavior of these correlations in equilibrium versus nonequilibrium states is not fully understood.
Purpose of the Study:
- Investigate multipartite mutual information in large networks of interacting stochastic units.
- Determine conditions for extensive scaling of correlations.
Main Methods:
- Analysis of multipartite mutual information in permutation-invariant networks.
- Studying system dynamics relaxing to fixed-point and time-dependent attractors.
- Utilizing the nonequilibrium Potts model as an illustration.
Main Results:
- Extensive scaling of multipartite correlations is not robust in equilibrium stationary states.
- Robust extensive scaling is impossible in thermodynamic equilibrium.
- Extensive scaling of mutual information occurs in far-from-equilibrium systems with time-dependent attractors (e.g., limit cycles).
Conclusions:
- Dissipation is crucial for generating and maintaining multipartite correlations.
- Nonequilibrium dynamics are essential for robust extensive correlation scaling.
More Related Videos
Related Concept Videos
01:14Extraction: 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
00:54Distribution 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
01:15Theories 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
01:12Maximum 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
02:20Correlations
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
01:23Correlation 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