论文标题
在选民模型中平衡保守和破坏性增长
Balancing conservative and disruptive growth in the voter model
论文作者
论文摘要
我们关心的是，增长的实施如何决定不断增长的自组织过程中的预期状态变化数量。考虑到这个问题，我们在一维成长的晶格上检查了选民模型的两个版本。我们的主要结果断言，在发现吸收状态之前的预期状态数量可以通过平衡保守和破坏性增长力来控制。这是因为保守的增长保留了选民模型的自我组织，因为它寻求吸收状态，而颠覆性增长会破坏这种自组织。特别是，我们专注于控制状态变化的预期数量，因为增长率倾向于零或无穷大。这些结果说明了增长如何影响自组织的成本，因此与日益活跃物理的物理学有关。
We are concerned with how the implementation of growth determines the expected number of state-changes in a growing self-organizing process. With this problem in mind, we examine two versions of the voter model on a one-dimensional growing lattice. Our main result asserts that the expected number of state-changes before an absorbing state is found can be controlled by balancing the conservative and disruptive forces of growth. This is because conservative growth preserves the self-organization of the voter model as it searches for an absorbing state, whereas disruptive growth undermines this self-organization. In particular, we focus on controlling the expected number of state-changes as the rate of growth tends to zero or infinity in the limit. These results illustrate how growth can affect the costs of self-organization and so are pertinent to the physics of growing active matter.
