Thai researchers developed a spectral framework for continuous-time random walks on multi-axial quasi-one-dimensional periodic lattices. Projecting the infinite dynamics onto a finite set of inter-cell gateway sites reduces the problem to eigenanalysis of a finite transition matrix. Long-time scaling is universal, while drift and effective diffusion depend on geometry and symmetry.
Key findings
- Finite internal networks share universal long-time axial scaling, while drift velocity and effective diffusion explicitly depend on geometry and symmetry. Ladder and cylindrical examples quantify effects of parallel pathways and transverse symmetries without restricting the framework to one geometry.
Why this matters globally
The framework may clarify diffusion and transport in narrow channels, nanonetworks or periodic systems with internal structure and support topology-based tuning of model transport.
Thai researcher contribution
Srawut Sasom of RMUTL and Varagorn Hengpunya of Chulalongkorn University jointly developed the spectral theory and examples.
Limitations to consider
The model assumes separable continuous-time Markovian walks on periodic structures with finite internal networks. Disorder, interactions, memory and nonequilibrium forcing may violate the assumptions, and theoretical examples do not validate a nanoscale device.