TBA

• Hisao Hayakawa (Yukawa Institute for Theoretical Physics)

Mean-field theory of vibrational density of states of jammed packing

• Harukuni Ikeda (Yukawa Institute for Theoretical Physics)

Several mean-field theories predict that the Hessian matrix of amorphous solids converges to the Wishart matrix in the limit of large spatial dimensions. Motivated by these results, we calculate here the density of states of random packing of harmonic spheres by mapping the Hessian of the original system to the Wishart matrix. We compare our result with that of previous numerical simulations of harmonic spheres in several spatial dimensions d=3, 5, and 9. For small pressure (near jamming), we find a good agreement even in d=3, and obtain better agreements in larger d, suggesting that the approximation becomes exact in the limit of large spatial dimension.

TBA

• Kota Noto (Yukawa Institute for Theoretical Physics)

TBA

• Kuniyasu Saitoh (Kyoto Sangyo University)

TBA

• Michio Otsuki (Shimane University)

TBA

• Ryudo Suzuki (Kyoto University)

TBA

• Satoshi Takada (Tokyo University of Agriculture and Technology)

TBA

• Stefan Luding (Twente)

TBA

• Takeshi Kawasaki (Osaka University)

TBA

• Ryohei Seto (University of Chinese Academy of Sciences)