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原文連結
論文資訊
- 類型：已發表論文
- 日期：2017-05-08
摘要
Collective organization in matter plays a significant role in its expressed physical properties. Typically, it is detected via an order parameter, appropriately defined for each given system's observed emergent patterns. Recent developments in 資訊 theory, however, suggest quantifying collective organization in a system-and phenomenon-agnostic way: decomposing the system's 熱力學 熵 density into a localized 熵, that is solely contained in the dynamics at a single location, and a bound 熵, that is stored in space as domains, clusters, excitations, or other emergent structures. As a concrete demonstration, we compute this decomposition and related quantities explicitly for the nearest-neighbor Ising模型 on the 1D chain, on the Bethe lattice with coordination number k = 3, and on the 2D square lattice,
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