Tag

Random Matrix Theory

All articles tagged with #random matrix theory

physics1 year ago

"Unraveling the Mystery of Granular Material Vibrations: Insights from Theoretical Physicists"

Theoretical physicists have delved into the mysterious world of granular materials, shedding light on the propagation of sound through these materials, particularly near the "jamming transition." Their study, published in the European Physical Journal E, reveals universal and non-universal statistical features of the vibrational spectra of granular packings, described by random matrix theory. This work not only provides insights into everyday scientific mysteries but also presents a unified model for stress distribution and vibrational spectra, highlighting the importance of studying fundamental problems in the everyday world around us.

physics2 years ago

Solving the mystery of neutrino mass with random matrix theory.

Researchers from Osaka Metropolitan University have used random matrix theory to explain the neutrino mass hierarchy. They analyzed the neutrino mass matrix by randomly assigning each element of the matrix and found that the lepton flavor mixings are large. The researchers were able to prove that the calculation of the squared difference of the neutrino masses is closest to the experimental results in the case of the seesaw model with the random Dirac and Majorana matrices. However, the proof is not mathematically complete and is expected to be rigorously proven as random matrix theory continues to develop.