41 citations · 74 across the 17 of their papers we have counts for
7 papers · 1 filter
Odd-even effect of melting finite polymer film on square lattice
Tieyan Si
Two dimensional film system bears many exotic thermodynamics behaviors. We proposed a mathematical physics model to explore how the melting temperature of a two dimensional mathema…
An optical model for an analogy of Parrondo game and designing Brownian ratchets
Tieyan Si
An optical model of classical photons propagating through array of many beam splitters is developed to give a physical analogy of Parrondo's game and Parrondo-Harmer-Abbott game. W…
One dimensional chain of quantum molecule motors as a mathematical physics model for muscle fibre
Tieyan Si
A quantum chain model of many molecule motors is proposed as a mathematical physics theory on the microscopic modeling of classical force-velocity relation and tension transients o…
Equation of motion for density distribution of many circling particles with an overdamped circle center
Tieyan Si
We first established the dynamic equations to describe the noisy circling motion of a single particle and the corresponding probability conservation equation in both two dimensions…
Explicit demonstration of nonabelian anyon, braiding matrix and fusion rules in the Kitaev-type spin honeycomb lattice models
Yue Yu, Tieyan Si
The exact solubility of the Kitaev-type spin honeycomb lattice model was proved by means of a Majorana fermion representation or a Jordan-Wigner transformation while the explicit f…
Game Theory and Topological Phase Transition
Tieyan Si
Phase transition is a war game. It widely exists in different kinds of complex system beyond physics. Where there is revolution, there is phase transition. The renormalization grou…