Related Experiment Video
Updated: May 18, 2026
10:20
Assembly and Purification of Prototype Foamy Virus Intasomes
Published on: March 19, 2018
Asymmetric inclusion process as a showcase of complexity
Shlomi Reuveni1, Iddo Eliazar, Uri Yechiali
1School of Chemistry, Tel-Aviv University, Tel-Aviv 69978, Israel.
Physical Review Letters
|October 4, 2012
Summary
The asymmetric inclusion process, a lattice-gas model, exhibits complex statistical behaviors. This model explores randomness, from Gaussian distributions to power-law fluctuations and condensation.
Area of Science:
- Statistical Mechanics
- Complex Systems Modeling
Background:
- The asymmetric exclusion process is a fundamental model in statistical mechanics.
- Understanding particle interactions and system dynamics is crucial for complex systems.
Purpose of the Study:
- To introduce and analyze the asymmetric inclusion process, a novel lattice-gas model.
- To investigate the statistical complexity and emergent behaviors of this new model.
Main Methods:
- Probabilistic analysis techniques.
- Monte Carlo simulations for empirical data generation.
- Analysis of statistical distributions and scaling behaviors.
Main Results:
- Demonstration of diverse random behaviors, including Gaussian load/draining and Rayleigh outflow.
- Identification of inverse-Gaussian coalescence and intrinsic power-law scalings.
- Observation of power-law fluctuations and condensation phenomena.
Conclusions:
- The asymmetric inclusion process offers a rich platform for studying statistical complexity.
- The model displays a wide spectrum of randomness, from mild to wild, with significant emergent properties.
Related Concept Videos
01:19Cyclic Processes And Isolated Systems
A thermodynamic system with zero heat exchange and work is an isolated system. For these systems, the internal energy remains constant.
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...
In the case of a non-isolated system, the change in the internal energy is zero only if the process is cyclic. A thermodynamic process is considered cyclic if the system undergoes a series of changes and returns to its initial state.
Consider a cyclic process that returns to its initial state, undergoing a four-step process. The heat transfer along each path...
01:14Reversible and Irreversible Processes
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
01:28Graphical Representation of Inequalities
The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all points...
01:07Symmetric Member in Bending
In the study of the mechanics of materials, analyzing the behavior of prismatic members under opposing couples is crucial for understanding internal stress distributions, which are essential for structural design. When subjected to couples, a prismatic member experiences internal forces that maintain equilibrium. A couple, characterized by two equal and opposite forces, creates a moment but no resultant force. The internal forces at any section cut of the member must balance these external...
01:34Woodward–Hoffmann Selection Rules and Microscopic Reversibility
Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...
01:29Integration by Parts: Problem Solving
Smart speakers process voice commands by modeling audio inputs as piecewise functions and analyzing them through integration against trigonometric functions, such as cosine. This mathematical approach is fundamental in signal processing, where complex sound waves are decomposed into simpler frequency components.Consider a definite integral involving a piecewise function multiplied by a cosine function. Because the function is defined differently over separate intervals, the integral is split...