community
active
leiden_hybrid_concepts
label: haiku
community:leiden_hybrid_concepts-run4-c3-c0-c8Critical temperature thresholds in hierarchical magnetic systems
Analyzes phase transitions and magnetization dynamics in clique-structured graphs using coupling strength and temperature-dependent bounds.
2 members. Each node is clickable.
Loading graph…
Drawn from 1 source
The papers/notes whose extracted claims & findings make up this cluster.
Bridges (3)
Other communities that share members with this one — cross-cutting threads or papers that sit at the seam between two themes.
Findings (2)
- For a graph with independent cliques, individual cliques may flip magnetisation while remaining uniformly magnetised if intra-clique coupling > (T/2) log n_i (Theorem 4)Condition for hierarchical order with locally coherent but globally varying phases
- There exists a non-empty critical temperature range of hierarchical behaviour (Proposition 3)Proof that the conditions of Theorem 4 are realisable in a range of temperatures