4 papers
Random knotting in very long off-lattice self-avoiding polygons
Jason Cantarella, Tetsuo Deguchi, Henrik Schumacher +2
We present experimental results on knotting in off-lattice self-avoiding polygons in the bead-chain model. Using Clisby's tree data structure and the scale-free pivot algorithm, fo…
Effects of multiple cycles on the resistance distance of a strand in a homogeneous polymer network
Erica Uehara, Tetsuo Deguchi
We show that the resistance distance between a pair of adjacent vertices in a phantom network generated randomly by a Monte-Carlo method depends on the existence of short cycles ar…
An exact formula for the contraction factor of a subdivided Gaussian topological polymer
Jason Cantarella, Tetsuo Deguchi, Clayton Shonkwiler +1
We consider the radius of gyration of a Gaussian topological polymer formed by subdividing a graph of arbitrary topology (for instance, branched or multicyclic). We give a…
Simulating phase inversion processes by coupled map lattice: Towards the theoretical design of food texture and quality in dairy processing from fresh cream to butter via whipped cream
Erika Nozawa, Tetsuo Deguchi
We present a theoretical model and simulation for the formation dynamics of diverse texture patterns that emerge spontaneously or self-organize during phase inversion processes of…