Zi-Huan Zhang’s research while affiliated with University of Science and Technology of China and other places

Abstract: Non-equilibrium phase transition is always one of the most important issue for complexity science, since it can reveal physical mechanisms of abundant physical phenomena. Exploring applications of non-equilibrium phase transitions in basic paradigm models of complexity science is vital for better comprehending essences of real physical processes. Among these processes, totally asymmetric simple exclusion process (TASEP) stands out owing to important theoretical significances and practical value, whose importance is regarded as being equivalent to Ising model. In this paper, a heterogeneous interacting particle system constituted by three-lane TASEPs with binding and unbinding processes affected by interacting energies among adjacent subsystems is proposed. Nonlinear equations about all particle configuration states of boundaries and bulk are established. We find and analyze numerical local densities and currents by performing simple and cluster mean-field analyses. Nine species of phases including homogeneous phases and mixed ones are discovered. Specifically, as for mixed phases, densities of middle channel are much larger and smaller than those of neighboring ones when specific interacting energy is positive and negative, respectively. All triple points are found to move to upper left corner of phase space with increasing interacting energy. Current phase diagrams mapped into density phase ones are explored, which reveal currents in homogenous phases rely on just one critical governing parameter (namely, injecting rate or escaping one) while those in mixed phases are controlled by the coupling effects of these two critical governing rates. Theoretical results from mean-field analyses are confirmed by simulations, which yield to fine coincidences. This work will improve understanding of non-equilibrium phase transition mechanisms in such basic paradigm models and stochastic dynamics in corresponding critical phenomena to a certain extent, especially cluster effects and related dynamic processes of self-driven particles in such systems in the area of complex system science and statistical physics at mesoscopic scale. Keywords: Non-equilibrium phase transitions; TASEP; Binding and unbinding process; Density phase diagrams; Current phase diagrams (Accepted Article)

In the area of statistical physics, totally asymmetric simple exclusion process (namely, TASEP) is treated as one of the most important driven-diffusive systems. It contains profound non-equilibrium statistical physics mechanisms due to being the paradigm model like Ising model. Different with previous work, a one-dimensional TASEP coupled with inner interactions and Langmuir dynamics is taken into account. Weak coupled binding and unbinding rates are introduced in the proposed model. Bond breaking and making mechanisms of self-driven particles illustrating the unidirectional movement of protein motors are investigated by means of performing cluster mean-field analyses. Dynamics in the proposed system dominated by the competition between the attraction effect and the repulsion one are found to depend on the specific value of the interaction energy of these active particles. The research work will be helpful for understanding non-equilibrium statistical behaviors of interacting particle systems. Keywords: TASEP; cluster mean-field analysis; inner interactions; Langmuir dynamics