INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
A lattice gas of prime numbers and the Riemann Hypothesis
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
ELSEVIER SCIENCE BV
Lugar: Amsterdam; Año: 2013 vol. 392 p. 4516 - 4522
In recent years, there has been some interest in applying ideas and methods taken from Physics in order to approach several challenging mathematical problems, particularly the Riemann Hypothesis. Most of these kinds of contributions are suggested by some quantum statistical physics problems or by questions originated in chaos theory. In this article, we show that the real part of the non-trivial zeros of the Riemann zeta function extremizes the grand potential corresponding to a simple model of one-dimensional classical lattice gas, the critical point being located at 1/2 as the Riemann Hypothesis claims.