Understanding Percolation Threshold and Periodic Boundary in Particle Systems

In summary, GG has two questions related to statistical physics or particle physics and is seeking help. They ask about the percolation threshold for a system of particles and the use of periodic boundary conditions in a particulate system. They also mention concerns about the effects of boundaries on material behavior and how to deal with corners in a periodic cell.
  • #1
uiulic
99
0
I have two questions related to statistical physics or particle physics, could somebody help ?If this is not the right place for these questions, please advise.

1 What does 'percolation threshold' means for a system of particles?

2 What is "periodic boundary" in a particulate system? Is it perfect for removing the effect of boundary?

Thanks
GG
 
Last edited:
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  • #2
periodic boundary conditions are used in bulk systems when the effects of the boundary are negligible.

I don't know what you mean by perfect. It is of course simply an approximation that, depending on the specific situation, may work well or not so well.
 
  • #3
Norman,

Sorry for using the confusing word 'perfect'. Normally, we wish to study real material behaviour, but under a given boundary it is then hard to say whether the behaviour is caused by the boundary. Therefore, the fundamental character you got/observed from such a system may not be what you want.In case the periodic boundary, such a problem does not exist, but there seems other problems such as how to deal with the corner at the periodic cell (boundary).

Note: the system is one consisting of a lot of particles, or you can imagine the system is one consisting of a lot of moleculars,or you can also imagine the system is a REV (RVE), i.e. representative volume element.


Thanks
GG
 

1. What is percolation threshold in particle systems?

The percolation threshold is the point at which a significant portion of a particle system becomes interconnected, allowing for the flow of a substance or property through the system. It is a critical point that determines the behavior and properties of the system.

2. How is percolation threshold determined in particle systems?

Percolation threshold is typically determined through simulations or experiments, where the behavior of the system is observed as the concentration of particles is gradually increased. The point at which a sudden change in behavior occurs is identified as the percolation threshold.

3. What is the significance of percolation threshold in particle systems?

The percolation threshold is important because it can give insight into the behavior and properties of a system. For example, it can help predict the flow of fluids through porous materials or the electrical conductivity of a network of particles.

4. What is periodic boundary in particle systems?

A periodic boundary in particle systems is a boundary condition where the system is assumed to be infinite and the particles on one side are connected to the particles on the opposite side. This allows for the simulation of a larger system and reduces boundary effects that can affect the results.

5. How does periodic boundary affect the behavior of particle systems?

Periodic boundary can affect the behavior of particle systems by creating a more realistic simulation of an infinite system. It can also eliminate edge effects and allow for the study of larger systems, which can lead to more accurate predictions of system behavior and properties.

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