21 citations · 24 across the 8 of their papers we have counts for
8 papers
Statistical mechanical models of integer factorization problem
Chihiro. H. Nakajima, Masayuki Ohzeki
We formulate the integer factorization problem via a formulation of the searching problem for the ground state of a statistical mechanical Hamiltonian. The first passage time requi…
Miscibility Phase Diagram of Ring Polymer Blends: A Topological Effect
Takahiro Sakaue, Chihiro H. Nakajima
The miscibility of polymer blends, a classical problem in polymer science, may be altered, if one or both of the component do not have chain ends. Based on the idea of {\it topolog…
Statistical Mechanical Formulation and Simulation of Prime Factorization of Integers
Chihiro H. Nakajima
We propose a new formulation of the problem of prime factorization of integers. With replica exchange Monte Carlo simulation, the behavior which is seemed to indicate exponential c…
Localization and size distribution of a polymer knot confined in a channel
Chihiro H. Nakajima, Takahiro Sakaue
We have examined the behaviors of a knotted linear polymer in narrow tubes using Langevin dynamics simulation to investigate the knot localization property in one-dimensional (1D)…
Computing a Knot Invariant as a Constraint Satisfaction Problem
Chihiro H. Nakajima, Takahiro Sakaue
We point out the connection between mathematical knot theory and spin glass/search problem. In particular, we present a statistical mechanical formulation of the problem of computi…
Molecular transport through a bottleneck driven by external force
Chihiro Nakajima, Hisao Hayakawa
The transport phenomena of Lennard-Jones molecules through a structural bottleneck driven by an external force are investigated by molecular dynamics simulations. We observe two di…
Phase transition of Two-timescale Two-temperature Spin-lattice Gas Model
C. H. Nakajima, K. Hukushima
We study phase transition of a nonequilibrium statistical-mechanical model, in which two degrees of freedom with different time scales separated from each other touch to their own…
Electron transport driven by a chemical potential difference
Chihiro Nakajima, Hisao Hayakawa
Based on Bhatnagar-Gross-Krook equation coupled with Maxwell equation, we investigate the spatial dependence of a chemical, an electrostatic and an electrochmeical potentials insid…