Dear Aranya Kar thank you for sharing this very interesting technical question with the RG community. For some basic information about the formation of toroid structures please have a look at the following potentially useful article which might help you in your analysis:
Development of Toroidal Nanostructures by Self-Assembly: Rational Designs and Applications
Article Development of Toroidal Nanostructures by Self-Assembly: Rat...
Unfortunately this article has not yet been posted by the authors as public full text on RG. However, the paper isn't that old (published 2013) and three of the authors have RG profiles. Thus you can easily contact one of them directly via RG and request the full text. You can also discuss your question directly with them as they are real experts in this field.
I hope this helps. Good luck with your work and best wishes, Frank Edelmann