Related Experiment Video
Updated: May 26, 2026
06:28
Single Step Isolation of Extracellular Vesicles from Large-Volume Samples with a Bifurcated A4F Microfluidic Device
Published on: February 2, 2024
Asymmetric inclusion process
Shlomi Reuveni1, Iddo Eliazar, Uri Yechiali
1School of Chemistry, Tel-Aviv University, Tel-Aviv IL-69978, Israel.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 21, 2011
Summary
We introduce the asymmetric inclusion process (ASIP), a model where particles merge into clusters. This study analyzes its dynamics and steady-state behavior, offering insights into statistical physics and queueing theory.
Area of Science:
- Statistical Physics
- Queueing Theory
- Mathematical Modeling
Background:
- The fermionic asymmetric exclusion process (ASEP) models particle dynamics with exclusion interactions.
- A need exists for bosonic counterparts to explore different interaction mechanisms.
Purpose of the Study:
- Introduce and analyze the asymmetric inclusion process (ASIP) as a bosonic analogue of ASEP.
- Investigate the dynamics and steady-state properties of the ASIP.
- Establish connections between statistical physics and queueing theory.
Main Methods:
- Derivation of evolution equations for the mean and probability generating function (PGF) of the site occupancy vector.
- Development of an iterative scheme for computing the PGF at steady state.
- Analysis of load distribution and optimization in steady-state conditions.
Main Results:
- Explicit results for the mean site occupancy at steady state.
- Explicit results for the load distribution in steady state.
- Solutions for load optimization problems under various criteria.
Conclusions:
- The ASIP is an exactly solvable model with unique inclusion dynamics.
- The ASIP provides a framework connecting statistical physics (growth-collapse processes) and queueing theory (tandem queues with batch service).
- The model offers a novel perspective on particle dynamics and system optimization.
Related Concept Videos
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...
01:19Cyclic 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...
01:35Asymmetric Lipid Bilayer
Biological membranes show uneven distribution of different types of lipids in the inner and outer layers, resulting in transverse asymmetric membranes. The treatment of the erythrocyte membrane with the enzyme phospholipase confirmed the asymmetric nature of the lipid bilayer. The enzyme hydrolyzes lipids into fatty acids and hydrophilic groups. The phospholipase acts only on the outer layer of the membrane, while the inner layer remains intact. The phospholipase treatment resulted in 80%...
01:11Rotation of Asymmetric Top
By definition, a spherically symmetric body has the same moment of inertia about any axis passing through its center of mass. This situation changes if there is no spherical symmetry. Since most rigid bodies are not spherically symmetric, these require special treatment.
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
The relationship between the angular momentum of any rigid body and its angular velocity, both of which are vectors, involves the moment of inertia. The moment of inertia is a scalar quantity only for spherically symmetric...
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...
01:18Unsymmetric Bending
Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The orientation of the...