Abstract

Short Communication

Spin ½ model in statistical mechanics and relation to a truncation of the Riemann ξ function in the Riemann Hypothesis

Danilo Merlini, Luca Rusconi, Massimo Sala and Nicoletta Sala*

Published: 05 June, 2023 | Volume 6 - Issue 1 | Pages: 115-116

In the search for a solution to the Riemann Hypothesis, we have studied an approach that connects the Riemann Problem with physical modeling that refers to statistical mechanics.
Thus, we study the relation between a truncation of the Riemann ξ function in the variable z = 1-1/s, where s is the usual complex variable (s=Re(s)+i·Im(s) = ρ + i·t) and the partition function of a ferromagnetic spin 1/2 model on a circle C with long-range interaction, to give a concrete look at a strategy for a possible proof of the Riemann Hypothesis. 

Read Full Article HTML DOI: 10.29328/journal.ijpra.1001058 Cite this Article Read Full Article PDF

References

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