论文标题
通过字符串变量揭示的1D软件聚类中的ising临界状态的出现
Emergence of an Ising critical regime in the clustering of 1D soft matter revealed through string variables
论文作者
论文摘要
软物质系统以能够显示复杂的新兴现象(例如聚类阶段)而闻名。最近,在连续体中通过成对的软电位相互作用的一维(1D)系统中揭示了令人惊讶的量子相变。结果表明,进行两粒子聚类的空间坐标可以映射到1D横向ISING模型的量子自旋变量中。在这项工作中,我们研究了连续体中软颗粒的一维经典流体中类似的临界现象的表现。特别是,我们研究了1D软物质的三种不同经典模型的低温行为,它们的粒子间相互作用允许聚类。相同的字符串变量强调,在两个粒子群集相的相称密度下,相邻软颗粒的特殊配对可以非定量映射到1D离散的经典ISING模型上。我们还观察到相关的现象,即在低温特异性热中存在异常峰,因此表明了非磁性液中Schottky现象学的出现。
Soft matter systems are renowned for being able to display complex emerging phenomena such as clustering phases. Recently, a surprising quantum phase transition has been revealed in a one-dimensional (1D) system composed of bosons interacting via a pairwise soft potential in the continuum. It was shown that the spatial coordinates undergoing two-particle clustering could be mapped into quantum spin variables of a 1D transverse Ising model. In this work we investigate the manifestation of an analogous critical phenomenon in 1D classical fluids of soft particles in the continuum. In particular, we study the low-temperature behavior of three different classical models of 1D soft matter, whose inter-particle interactions allow for clustering. The same string variables highlight that, at the commensurate density for the two-particle cluster phase, the peculiar pairing of neighboring soft particles can be nontrivially mapped onto a 1D discrete classical Ising model. We also observe a related phenomenon, namely the presence of an anomalous peak in the low-temperature specific heat, thus indicating the emergence of Schottky phenomenology in a non-magnetic fluid.