论文标题
自相似性破坏：异常非平衡有限尺寸缩放和有限时间缩放
Self-similarity breaking: Anomalous nonequilibrium finite-size scaling and finite-time scaling
论文作者
论文摘要
对称破裂在现代物理学中起关键作用。尽管自相似性也是一种对称性，并且在本质上似乎普遍存在，但一个基本的问题是自我相似性破坏是否有意义。在这里，通过确定将最重要的关键波动称为阶段波动，并将自相似性与缺乏自相似性的后果进行比较，我们表明，至少在非平衡情况下，自我相似性确实可以与显着的后果打破。我们发现，自相似性的破坏会导致新的关键指数，从而违反了众所周知的有限尺寸缩放量表或鲜为人知的有限时间缩放和不同的领先指数，以及在范式和三维有限的效果上，在范式上或三维有限的景点上，在范式上进行范围或三维的有限态度，以使其在其上进行简单播放，以使其在范围内进行简单的效果，以使其在范围内进行范围或三维的有限态度，以使其在其上进行启动，以使其在其上进行了启动，以使其呈现较大的效果，以使其在其上进行启动，以使其呈现限制的效果。通常的批判现象中相同的指数和不同的幅度。我们的结果表明，驱动的非平衡临界现象可能是多么令人惊讶。高度期望将其应用于其他经典和量子相变。
Symmetry breaking plays a pivotal role in modern physics. Although self-similarity is also a symmetry and appears ubiquitously in nature, a fundamental question is whether self-similarity breaking makes sense or not. Here, by identifying the most important kind of critical fluctuations dubbed as phases fluctuations and comparing the consequences of having self-similarity with those of lacking self-similarity in the phases fluctuations, we show that self-similarity can indeed be broken with significant consequences at least in nonequilibrium situations. We find that the breaking of self-similarity results in new critical exponents which give rise to violation of the well-known finite-size scaling or the less-known finite-time scaling and different leading exponents in the ordered and the disordered phases of the paradigmatic Ising model on two- or three-dimensional finite lattices when it subjects to the simplest nonequilibrium driving of linear heating or cooling through its critical point, in stark contrast to identical exponents and different amplitudes in usual critical phenomena. Our results demonstrate how surprising driven nonequilibrium critical phenomena can be. Application to other classical and quantum phase transitions is highly expected.
