Excitation of a conserved lattice gas model as a possible toy model for granular systems

  • Matthew Joseph Ribano Banaag National Institute of Physics, University of the Philippines Diliman
  • Johnrob Yap Bantang National Institute of Physics, University of the Philippines Diliman

Abstract

We present an excited CLG model in order to better represent a granular setup on a 1D lattice. The proposed model takes into account multiple particle to particle interactions in each time step by use of a block cellular automaton with a Margolus neighborhood, as compared to the original model which only acted on one particle every iteration. This allows for a more realistic simulation of granular systems. We found that the time it takes before the system reaches a steady state, Ta, follows an exponential trend. We also found that our model no longer approaches a steady state at a critical density of ρc ≈ 0.37. Any values of ρ > ρc exhibit a constant state of movement. We further evolve the system by adding shaking using a probabilistic cellular automata (PCA), which employs the probabilities m and c that we defined to be the probability of migration and cohesiveness repsectively. Here we found that both play an equal role in the dynamics of the system. Such a setup can be used for further studies in measuring temperature in granular systems.

Published
2020-09-14
How to Cite
[1]
M. J. Banaag and J. Bantang. Excitation of a conserved lattice gas model as a possible toy model for granular systems, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-4G-02 (2020). URL: https://paperview.spp-online.org/proceedings/article/view/SPP-2020-4G-02.
Section
3A/4G/5G Condensed Matter and Materials Science (Short Presentations)