4 papers
Statistical-mechanics of a three-body Hopfield model with finite connectivity
Yushi Sugawara, Koji Hukushima
A three-body Hopfield model defined on sparse random graphs with finite mean connectivity is studied using a replica-symmetric (RS) analysis. By extending the functional replica fr…
Structure-resolved free energy estimation of the 38-atom Lennard Jones cluster via population annealing
Akie Kowaguchi, Koji Hukushima
We systematically investigate the thermodynamic landscape of the 38-atom Lennard--Jones cluster LJ using Population Annealing (PA), a method suited for systems with challeng…
Phase transitions in time complexity of Brownian circuits
Kota Okajima, Koji Hukushima
Brownian circuits perform computations using stochastic transitions driven by thermal fluctuations. While the energetic costs of such fluctuation-driven computation have been exten…
Damage spreading and coupling in spin glasses and hard spheres
Koji Hukushima, Werner Krauth
We study the connection between damage spreading, a phenomenon long discussed in the physics literature, and the coupling of Markov chains, a technique used to bound the mixing tim…