7 papers
Spiral, target, stripe, and disordered waves in active six-state Potts models
Hiroshi Noguchi
Wave propagation can be observed in various nonequilibrium systems. In this study, we investigated the properties of several wave modes in active six-state Potts models using Monte…
Coarsening dynamics for spiral and disordered waves in active Potts models
Hiroshi Noguchi
This study examines the domain-growth dynamics of -state active Potts models (--) under the cyclically symmetric conditions using Monte Carlo simulations on square and h…
Dynamics due to competitive flip cycles in active Potts models
Hiroshi Noguchi
Nonequilibrium spatiotemporal patterns have been extensively studied. However, a single oscillator or cyclic loop of states is typically employed at each site in theories and simul…
Dynamic modes of active Potts models with factorizable numbers of states
Hiroshi Noguchi
We studied the long-term nonequilibrium dynamics of -state Potts models with , , , and using Monte Carlo simulations on a two-dimensional square lattice. When the…
Spatiotemporal Patterns in Active Four-State Potts Models
Hiroshi Noguchi
Many types of spatiotemporal patterns have been observed under nonequilibrium conditions. Cycling through four or more states can provide specific dynamics, such as the spatial coe…
Growth and shrinkage of tissue sheets on substrates: buds, buckles, and pores
Hiroshi Noguchi, Jens Elgeti
Many tissues take the form of thin sheets, being only a single cell thick, but millions of cells wide. These tissue sheets can bend and buckle in the third dimension. In this work,…