Van der Waals force (Lenard-Jones)

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Discussion Overview

The discussion centers around the applicability of the Lennard-Jones potential energy model to asymmetric particles, particularly in the context of defining potential energy between such particles. The scope includes theoretical considerations and potential modifications to the model.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires whether the Lennard-Jones potential is limited to symmetric particles or if it can be applied to asymmetric forces as well.
  • Another participant notes that the Lennard-Jones potential is a central potential that assumes spherical particles and suggests that it could be modified to account for the relative orientation of the particles, although they are unsure if such modifications exist.
  • A different participant seeks clarification on whether the size of the particles affects the interaction potential energy's asymmetry.
  • One participant expresses confusion regarding the concept of asymmetry, asking for clarification on what it refers to in this context.
  • A follow-up question is posed regarding the interaction energy between two cylindrical particles of different lengths, questioning whether the interaction is symmetric or if the longer particle exerts more influence on the shorter one.

Areas of Agreement / Disagreement

The discussion contains multiple competing views and remains unresolved regarding the application of the Lennard-Jones potential to asymmetric particles and the implications of particle size on interaction energy.

Contextual Notes

Participants have not reached a consensus on the definitions and implications of asymmetry in the context of the Lennard-Jones potential, nor have they established whether modifications to the potential for asymmetric particles have been explored in the literature.

Ferra
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Hi everyone

I'd like to know the Lennard-Jones potential energy is just for symmetric particles or we can use it for asymmetric forces too? If not how can I define the potential energy between two asymmetric particles?

Thanks
 
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The Lennard-Jones potential is a central potential, and therefore assumes spherical particles. I guess it could be modified such that the parameters of the potenial depend on the relative orientation of the two particles. I am not aware if this has been done before.
 
Thank you so much for your information. Actually except the orientation I'd like to know if the size of the particles also cause the interaction potential energy to be asymmetric or not?
 
I don't understand. Asymmetric with respect to what?
 
For example for two cylindrical particles with different length this interaction energy is symmetric or the longer one has more influence on the shorter one?
 

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