216 citations · 245 across the 10 of their papers we have counts for
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Non-monotonic behavior of the Binder Parameter in the discrete spin systems
Hiroshi Watanabe, Yuichi Motoyama, Satoshi Morita +1
We study a non-monotonic behavior of the Binder parameter, which appears in the discrete spin systems. We show that the Binder parameters of the Potts model are non-monotonic for $…
Fast algorithm for generating random bit strings and multispin coding for directed percolation
Hiroshi Watanabe, Satoshi Morita, Synge Todo +1
We present efficient algorithms to generate a bit string in which each bit is set with arbitrary probability. By adopting a hybrid algorithm, i.e., a finite-bit density approximati…
Failure of deterministic and stochastic thermostats to control temperature of molecular systems
Hiroshi Watanabe
We investigate the ergodicity and "hot solvent/cold solute" problems in molecular dynamics simulations. While the kinetic moments and the stimulated Nosé--Hoover methods improve th…
Difficult Sudoku Puzzles Created by Replica Exchange Monte Carlo Method
Hiroshi Watanabe
An algorithm to create difficult Sudoku puzzles is proposed. An Ising spin-glass like Hamiltonian describing difficulty of puzzles is defined, and difficult puzzles are created by…
Static and dynamical aspects of the metastable states of first order transition systems
Tomoaki Nogawa, Nobuyasu Ito, Hiroshi Watanabe
We numerically study the metastable states of the 2d Potts model. Both of equilibrium and relaxation properties are investigated focusing on the finite size effect. The former is i…
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…