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Exact Partition Function for the Random Walk of an Electrostatic Field

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  • Gabriel González

Abstract

The partition function for the random walk of an electrostatic field produced by several static parallel infinite charged planes in which the charge distribution could be either is obtained. We find the electrostatic energy of the system and show that it can be analyzed through generalized Dyck paths. The relation between the electrostatic field and generalized Dyck paths allows us to sum overall possible electrostatic field configurations and is used for obtaining the partition function of the system. We illustrate our results with one example.

Suggested Citation

  • Gabriel González, 2017. "Exact Partition Function for the Random Walk of an Electrostatic Field," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-5, July.
    • Handle: RePEc:hin:jnlamp:6970870
    DOI: 10.1155/2017/6970870
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