Understanding Percolation Threshold and Periodic Boundary in Particle Systems

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SUMMARY

The discussion focuses on the concepts of 'percolation threshold' and 'periodic boundary' in particle systems. The percolation threshold refers to the critical point at which a system of particles transitions from a non-percolating to a percolating state, impacting material behavior. Periodic boundary conditions are employed to minimize boundary effects in bulk systems, allowing for a more accurate representation of material properties. However, these conditions are approximations and may introduce challenges, particularly at the corners of the periodic cell.

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uiulic
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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
 
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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.
 
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
 

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