Dynamics of a Single Particle Moving on a Random Lorentz Lattice-Gas
- Resource Type
- Original Paper
- Authors
- Rathore, Harshit; Semwal, Vivek; Mishra, Shradha
- Source
- Journal of Statistical Physics. 188(2)
- Subject
- Language
- English
- ISSN
- 0022-4715
1572-9613
Anisotropy and randomness are widely present in nature. We study the dynamics of a single particle on a random network which inspires many real life physical processes from small scale to large scale. For this purpose, we first designed a continuous and connected random lattice (network) and study its characteristics like the degree distribution and bond length distributions. Then we study the dynamics of a single particle moving on the above random network. The system is studied for three different cases. First we study the dynamics of particle randomly moving on the lattice and find that the dynamics is diffusive at late time. We then study the dynamics in the presence of rotators. We introduce two types of rotators: (i) leftmost and rightmost and (ii) left and right. The rotators are distributed randomly with different ratio of left(most) and right(most) rotators. For case (i) for all ratios, the dynamics can be divided into two parts: early time transient dynamics and late time. The early time transient dynamics is subdiffusive with particle’s mean square displacement (MSD) Δ(t)∼t2/3Δ(t)t2 and Δ(t)∼t2/3Δ(t)t2 approaches ballistic at late times. Two types of particle trajectories are found, traversing and closed orbit. For the case (ii) we find MSD shows an early time diffusive t to late time ballistic behaviour Δ(t)∼t2/3Δ(t)t2. Our study provide an idea of a single particle moving on random lattice in the presence of different environment.