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Equilibrium sampling by reweighting nonequilibrium simulation trajectories

机译:通过加权非平衡模拟轨迹来进行平衡采样

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Based on equilibrium molecular simulations, it is usually difficult to efficiently visit the whole conformational space of complex systems, which are separated into some metastable regions by high free energy barriers. Nonequilibrium simulations could enhance transitions among these metastable regions and then be applied to sample equilibrium distributions in complex systems, since the associated nonequilibrium effects can be removed by employing the Jarzynski equality (JE). Here we present such a systematical method, named reweighted nonequilibrium ensemble dynamics (RNED), to efficiently sample equilibrium conformations. The RNED is a combination of the JE and our previous reweighted ensemble dynamics (RED) method. The original JE reproduces equilibrium from lots of nonequilibrium trajectories but requires that the initial distribution of these trajectories is equilibrium. The RED reweights many equilibrium trajectories from an arbitrary initial distribution to get the equilibrium distribution, whereas the RNED has both advantages of the two methods, reproducing equilibrium from lots of nonequilibrium simulation trajectories with an arbitrary initial conformational distribution. We illustrated the application of the RNED in a toy model and in a Lennard-Jones fluid to detect its liquid-solid phase coexistence. The results indicate that the RNED sufficiently extends the application of both the original JE and the RED in equilibrium sampling of complex systems.
机译:基于平衡分子模拟,通常很难有效地访问复杂系统的整个构象空间,这些系统通过高自由能垒被分成一些亚稳态区域。非平衡模拟可以增强这些亚稳态区域之间的过渡,然后将其应用于复杂系统中的样本平衡分布,因为可以通过使用Jarzynski等式(JE)消除相关的非平衡效应。在这里,我们提出了一种系统的方法,称为重加权非平衡系综动力学(RNED),以有效地采样平衡构象。 RNED是JE和我们先前的重加权集成动力学(RED)方法的结合。原始的JE从许多非平衡轨迹中复制出平衡,但要求这些轨迹的初始分布是平衡。 RED从任意初始分布重新加权许多平衡轨迹以获得平衡分布,而RNED具有这两种方法的优点,即从具有任意初始构象分布的许多非平衡模拟轨迹中再现平衡。我们举例说明了RNED在玩具模型和Lennard-Jones流体中的应用,以检测其液固共存。结果表明,RNED充分扩展了原始JE和RED在复杂系统平衡采样中的应用。

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