聖塔非研究所

古典馬雅城市興衰的建模:氣候、衝突與經濟

2024-11-14 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We show that the notion of critical droplets is central to an understanding of the nature of ground states in the Edwards Anderson Ising模型 of a spin glass in arbitrary dimensions. Given a…

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論文資訊

  • 類型:已發表論文
  • 日期:2024-11-14

摘要

We show that the notion of critical droplets is central to an understanding of the nature of ground states in the Edwards-Anderson-Ising模型 of a spin glass in arbitrary dimensions. Given a specific ground state, we suppose that the coupling value for a given edge is varied with all other couplings held fixed. Beyond some specific value of the coupling, a droplet will flip, leading to a new ground state; we refer to this as the critical droplet for that edge and ground state. We show that the distribution of sizes and energies over all edges for a specific ground state can be used to determine which of the leading scenarios for the spin glass phase is correct. In particular, the existence of low-energy interfaces between incongruent ground states, as predicted by replica symmetry breaking, i

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