205 citations · 3.3k across the 120 of their papers we have counts for
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Violation of the scaling relation and non-Markovian nature of earthquake aftershocks
Sumiyoshi Abe, Norikazu Suzuki
The statistical properties of earthquake aftershocks are studied. The scaling relation for the exponents of the Omori law and the power-law calm time distribution (i.e., the intero…
Instability of q-expectation value
Sumiyoshi Abe
q-Expectation value of a physical quantity is widely used in nonextensive statistical mechanics. Here, it is shown that the q-expectation value is not stable under small deformatio…
On the Geodesic Nature of Wegner's Flow
Yuichi Itto, Sumiyoshi Abe
Wegner's method of flow equations offers a useful tool for diagonalizing a given Hamiltonian and is widely used in various branches of quantum physics. Here, generalizing this meth…
Scaling relation for earthquake networks
Sumiyoshi Abe, Norikazu Suzuki
The scaling relation derived by Dorogovtsev, Goltsev, Mendes and Samukhin [Phys. Rev. E, 68 (2003) 046109] states that the exponents of the power-law connectivity distribution, gam…
Macroscopic proof of the Jarzynski-Wojcik fluctuation theorem for heat exchange
Yuki Sughiyama, Sumiyoshi Abe
In a recent work, Jarzynski and Wojcik (2004 Phys. Rev. Lett. 92, 230602) have shown by using the properties of Hamiltonian dynamics and a statistical mechanical consideration that…
Fluctuation theorem for the renormalized entropy change in the strongly nonlinear nonequilibrium regime
Yuki Sughiyama, Sumiyoshi Abe
Generalizing a recent work [T. Taniguchi and E. G. D. Cohen, J. Stat. Phys. 126, 1 (2006)] that was based on the Onsager-Machlup theory, a nonlinear relaxation process is considere…