127 citations · 1.1k across the 72 of their papers we have counts for
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Logical Reasoning for Revealing the Critical Temperature through Deep Learning of Configuration Ensemble of Statistical Systems
Ken-Ichi Aoki, Tatsuhiro Fujita, Tamao Kobayashi
Recently, there have been many works on the deep learning of statistical ensembles to determine the critical temperature of a possible phase transition. We analyze the detailed str…
Restricted Boltzmann Machines for the Long Range Ising Models
Ken-Ichi Aoki, Tamao Kobayashi
We set up Restricted Boltzmann Machines (RBM) to reproduce the Long Range Ising (LRI) models of the Ohmic type in one dimension. The RBM parameters are tuned by using the standard…
Order and Chaos in the One-Dimensional Model : N-Dependence and the Second Law of Thermodynamics
William Graham Hoover, Kenichiro Aoki
We revisit the equilibrium one-dimensional model from the dynamical systems point of view. We find an infinite number of periodic orbits which are computationally stable. At…
Phase transition of the dissipative double-well quantum mechanics
Ken-Ichi Aoki, Tamao Kobayashi
We investigate the critical dissipation of the double-well quantum mechanics. We adopt two-state approximation to define effective Ising models and apply the block decimation renor…
Domain Wall Renormalization Group Analysis of 2-dimensional Ising Model
Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita
Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the 2-dimensional square lattice. For the lowest order appr…
Finite-Range Scaling Method to Analyze Systems with Infinite-Range Interactions
Ken-Ichi Aoki, Tamao Kobayashi, Hiroshi Tomita
We propose a new practical method for evaluating the critical coupling constant in one-dimensional long-range interacting systems. We assume a finite-range scaling and define its e…
Energy Transport in Weakly Anharmonic Chains
Kenichiro Aoki, Jani Lukkarinen, Herbert Spohn
We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerica…