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Competition Between Multiple Totally Asymmetric Simple Exclusion Processes For A Finite Pool Of Resources, L. Jonathan Cook, R. K. P. Zia, Beate Schmittmann
Competition Between Multiple Totally Asymmetric Simple Exclusion Processes For A Finite Pool Of Resources, L. Jonathan Cook, R. K. P. Zia, Beate Schmittmann
Beate Schmittmann
Using Monte Carlo simulations and a domain-wall theory, we discuss the effect of coupling several totally asymmetric simple exclusion processes (TASEPs) to a finite reservoir of particles. This simple model mimics directed biological transport processes in the presence of finite resources such as protein synthesis limited by a finite pool of ribosomes. If all TASEPs have equal length, we find behavior which is analogous to a single TASEP coupled to a finite pool. For the more generic case of chains with different lengths, several unanticipated regimes emerge. A generalized domain-wall theory captures our findings in good agreement with simulation results.
Opinion Dynamics On An Adaptive Random Network, I. J. Benczik, S. Z. Benczik, Beate Schmittmann, R. K. P. Zia
Opinion Dynamics On An Adaptive Random Network, I. J. Benczik, S. Z. Benczik, Beate Schmittmann, R. K. P. Zia
Beate Schmittmann
We revisit the classical model for voter dynamics in a two-party system with two basic modifications. In contrast to the original voter model studied in regular lattices, we implement the opinion formation process in a random network of agents in which interactions are no longer restricted by geographical distance. In addition, we incorporate the rapidly changing nature of the interpersonal relations in the model. At each time step, agents can update their relationships. This update is determined by their own opinion, and by their preference to make connections with individuals sharing the same opinion, or rather with opponents. In this …