Last Update 11/06 2014
Statistical mechanics is the key to bridge physics in different scales. Historically, it has been developed to bridge the atomistic scale and the macroscopic scale. In view of earthquake sciences, however, one may need to bridge the grain scale and the many-faults scale. This huge scale gap tests nonequilibrium statistical mechanics and requires a new scheme applicable to systems in which thermal fluctuation is irrelevant. In these several years, I focus on friction laws of rocks, where the comminuted rocks (i.e., granular matter) plays a significant role, and attempt to understand the statistical nature of seismicity in terms of friction laws.
Takahiro Hatano, Scaling Properties of Granular Rheology near the Jamming Transition, J. Phys. Soc. Jpn., 77, 12, 123002, , 2008.
Takahiro Hatano, Growing length and time scales in a suspension of athermal particles, Physical Review E, 79, 050301(R), , 2009.
Takahiro Hatano, Scaling of the critical slip distance in granular layers, Geophys. Res. Lett., 36, L18304, , 2009.
O. Kuwano, and T. Hatano, Flash weakening is limited by granular dynamics, Geophys. Res. Lett., 38, L17305, , 2011.
H. Kawamura, T. Hatano, N. Kato, S. Biswas, B. K. Chakrabarti, Statistical physics of fracture, friction, and earthquakes, Reviews of Modern Physics, 84, 839--884, 2012.
O. Kuwano, R. Ando, and T. Hatano, Crossover from negative to positive shear rate dependence in granular friction, Geophys. Res. Lett., 40, 1295--1299, 2013.