<p>Geometric configurations play a pivotal role in determining the collective transport properties of coarse-grained chain, where the initial spatial arrangement and structural size critically influence the emergent dynamics. Interesting spatial structures can spontaneously emerge from local interactions between individuals, and these shapes offer strong functionalities for groups adapting to their surroundings. To explore the emergent dynamics of soft matter systems, we investigate a coarse-grained polymer chain evolving under Langevin equations with both particle interaction force and stochastic force. The analytical solution, the probability distribution, exhibits that it is an exponential distribution with two different characteristic parameters. One is a monotonic decrease with a zero-crossing, the other is an increase after an initial decrease in a positive range. This suggests that there is a critical value for the stretching size of the chain. There exists a directed transport in the system for the subcritical size, while the direction of the transport reverses for the supercritical size. The relative entropy shows that the transition process with different geometric sizes exhibit different dynamic phase transitions. These results might explain what is observed in several living systems and provide references for the directed transport of micro robots with determined structure.</p>

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Towards understanding the Nonequilibrium state transition characteristics of a coarse-grained chain by using relative entropy

  • Guang-Kuo Zhao,
  • Yuan-Rui Wang,
  • Peng Wang,
  • Xu-Ming Wang

摘要

Geometric configurations play a pivotal role in determining the collective transport properties of coarse-grained chain, where the initial spatial arrangement and structural size critically influence the emergent dynamics. Interesting spatial structures can spontaneously emerge from local interactions between individuals, and these shapes offer strong functionalities for groups adapting to their surroundings. To explore the emergent dynamics of soft matter systems, we investigate a coarse-grained polymer chain evolving under Langevin equations with both particle interaction force and stochastic force. The analytical solution, the probability distribution, exhibits that it is an exponential distribution with two different characteristic parameters. One is a monotonic decrease with a zero-crossing, the other is an increase after an initial decrease in a positive range. This suggests that there is a critical value for the stretching size of the chain. There exists a directed transport in the system for the subcritical size, while the direction of the transport reverses for the supercritical size. The relative entropy shows that the transition process with different geometric sizes exhibit different dynamic phase transitions. These results might explain what is observed in several living systems and provide references for the directed transport of micro robots with determined structure.