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摘要翻译：
通过分析精确可解的离散态“烧桥”模型，从理论上研究了分子马达沿线性晶格运动并通过特定晶格键的可逆破坏与之相互作用的动力学。分子马达被认为是扩散的粒子，当通过它们时，它们可以不对称地破坏或重建周期性分布的薄弱环节。我们对动力学性质的显式计算表明，将无偏分子马达的输运与桥烧机制耦合，导致有向运动，降低涨落，并在弱链浓度较低的极限下产生动力学跃迁。反向偏置分子马达与桥烧机制之间的相互作用产生了复杂的动力学行为。由于可逆解离，分子马达的向后运动被减慢。在某些参数范围内，分子马达的运动方向会发生变化。分子马达也经历非单调波动，这是由于两种相反机制的作用：烧焦部位后的活性降低和大波动的锁定。当两种机制具有可比性时，观察到较大的空间涨落。对于桥的不可逆燃烧，分子马达的性质不同，在一定浓度范围内速度和涨落被抑制，并观察到动态转变。从有效驱动力和不同扩散状态之间的过渡讨论了系统的动力学。
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英文标题：
《Molecular Motors Interacting with Their Own Tracks》
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作者：
Max N. Artyomov, Alexander Yu. Morozov and Anatoly B. Kolomeisky
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Soft Condensed Matter 软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
Dynamics of molecular motors that move along linear lattices and interact with them via reversible destruction of specific lattice bonds is investigated theoretically by analyzing exactly solvable discrete-state ``burnt-bridge'' models. Molecular motors are viewed as diffusing particles that can asymmetrically break or rebuild periodically distributed weak links when passing over them. Our explicit calculations of dynamic properties show that coupling the transport of the unbiased molecular motor with the bridge-burning mechanism leads to a directed motion that lowers fluctuations and produces a dynamic transition in the limit of low concentration of weak links. Interaction between the backward biased molecular motor and the bridge-burning mechanism yields a complex dynamic behavior. For the reversible dissociation the backward motion of the molecular motor is slowed down. There is a change in the direction of the molecular motor's motion for some range of parameters. The molecular motor also experiences non-monotonic fluctuations due to the action of two opposing mechanisms: the reduced activity after the burned sites and locking of large fluctuations. Large spatial fluctuations are observed when two mechanisms are comparable. The properties of the molecular motor are different for the irreversible burning of bridges where the velocity and fluctuations are suppressed for some concentration range, and the dynamic transition is also observed. Dynamics of the system is discussed in terms of the effective driving forces and transitions between different diffusional regimes.
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PDF链接：
https://arxiv.org/pdf/712.3596
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