216 citations · 228 across the 5 of their papers we have counts for
7 papers
Mapping functions and critical behavior of percolation on rectangular domains
Hiroshi Watanabe, Chin-Kun Hu
The existence probability and the percolation probability of the bond percolation on rectangular domains with different aspect ratios are studied via the mapping func…
Markovian Approximation for the Nosé--Hoover method and H-theorem
Hiroshi Watanabe
A Langevin equation with state-dependent random force is considered. When the Helmholtz free energy is a nonincreasing function of time (the H-theorem), a generalized Einstein rela…
Efficiency of Rejection-Free Methods for Dynamic Monte Carlo Studies of Off-lattice Interacting Particles
Marta L. Guerra, M. A. Novotny, Hiroshi Watanabe +1
We calculate the efficiency of a rejection-free dynamic Monte Carlo method for -dimensional off-lattice homogeneous particles interacting through a repulsive power-law potential…
Massive Parallel Quantum Computer Simulator
K. De Raedt, K. Michielsen, H. De Raedt +6
We describe portable software to simulate universal quantum computers on massive parallel computers. We illustrate the use of the simulation software by running various quantum alg…
Positional Order and Diffusion Processes in Particle Systems
Hiroshi Watanabe, Satoshi Yukawa, Nobuyasu Ito
Nonequilibrium behaviors of positional order are discussed based on diffusion processes in particle systems. With the cumulant expansion method up to the second order, we obtain a…
Efficiency of Rejection-free dynamic Monte Carlo methods for homogeneous spin models, hard disk systems, and hard sphere systems
H. Watanabe, S. Yukawa, M. A. Novotny +1
We construct asymptotic arguments for the relative efficiency of rejection-free Monte Carlo (MC) methods compared to the standard MC method. We find that the efficiency is proporti…