Recent studies of nonequilibrium phase transitions have shown that in many systems which have transitions involving an arrested phase, the arrested states show suppressed density fluctuations and a cusp in the configurational entropy at the transition point. We study quasistatic driving in the 1D fixed-energy Abelian Sandpile Model, and in Conserved Lattice Gases with range n in 1D, and exactly determine the measure over the absorbing states for both cases, along with the behaviour of density fluctuations and the configurational entropy of absorbing states. We show that both models exhibit hyperuniformity near the transition, and also that the configurational entropy shows a cusp at the transition point in the Conserved Lattice Gases.

对非平衡相变的最新研究表明，在许多具有涉及停滞相的跃迁的系统中，停滞态在过渡点处显示出抑制的密度波动和构型熵的尖峰。我们在1D固定能量Abelian Sandpile模型和n在1D范围内的守恒格子气体中研究准静态驱动，并精确地确定了两种情况下吸收状态的度量，以及密度波动的行为和结构的熵。吸收状态。我们表明，两个模型在过渡附近均表现出超均匀性，而且构型熵在守恒格子气体中的过渡点处显示出尖峰。