3 papers
cond-mat.stat-mech2026
Invariant measures of exclusion processes with a look-ahead rule
Lam Thi Nhung, Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi
We study a one-dimensional exclusion process with a fixed jump length in which a particle may advance or retreat sites provided all intermediate sites are vacant, wit…
cond-mat.stat-mech2024
An Exactly Solvable Dual Bus Route Model
Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi, Nguyen Van Vinh
In 1998, O'Loan et al. introduced a simplified bus route model to illustrate bus dynamics. However, fluctuations in passenger numbers make it challenging to achieve an exact soluti…
cond-mat.stat-mech2024
An Exactly Solvable Model for Single-Lane Unidirectional Ant Traffic
Ngo Phuoc Nguyen Ngoc, Huynh Anh Thi, Nguyen Van Vinh
In 2002, Chowdhury et al. introduced a simplified model aimed at depicting the dynamics of single-lane unidirectional ant traffic. Despite efforts, an exact solution for the statio…