252 citations · 2.2k across the 98 of their papers we have counts for
7 papers · 1 filter
Suppression of the quantum-mechanical collapse by repulsive interactions in a quantum gas
Hidetsugu Sakaguchi, Boris A. Malomed
The quantum-mechanical collapse (alias fall onto the center of particles attracted by potential -1/r^2), or "quantum anomaly", is a well-known issue in the quantum theory. We demon…
Intercellular spiral waves of calcium in a two dimensional network of cells
Wilfred D. Kepseu, Paul Woafo, H. Sakaguchi
It is shown, by means of numerical simulations, that intercellular spiral waves of calcium can be initiated in a network of coupled cells as a result of a de-synchronization betwee…
Reflection and Splitting of Channel-Guided Solitons in Two-dimensional Nonlinear Schrödinger Equation
Hidetsugu Sakaguchi, Yusuke Kageyama
Solitons confined in a channel are studied in the two-dimensional nonlinear Schroedinger equation. When a channel branches into two channels, a soliton is split into two solitons,…
Self-organized criticality in an interface-growth model with quenched randomness
Hidetsugu Sakaguchi
We study a modified model of the Kardar-Parisi-Zhang equation with quenched disorder, in which the driving force decreases as the interface rises up. A critical state is self-organ…
Branching Patterns and Stepped Leaders in an Electric-Circuit Model for Creeping Discharge
Hidetsugu Sakaguchi, Sahim M. Kourkouss
We construct a two-dimensional electric circuit model for creeping discharge. Two types of discharge, surface corona and surface leader, are modeled by a two-step function of condu…
A coupled map lattice model for spontaneous pore formation in anodic oxidation
Hidetsugu Sakaguchi, Jie Zhao
We construct a coupled map lattice model for the spontaneous pore formation in anodic oxidation in two dimensions and perform numerical simulations, after we explain steady flat so…