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🔗 Source: amsdottorato.unibo.it
📊 Size: 1.85 MB
📄 Pages: 184 pages
⬇️ Downloads: 132

Summary

Diego Alberici's PhD thesis in Mathematics at the University of Bologna, titled "Statistical Mechanics of Hard-Core Particles with Attractive Interactions", explores the collective behavior of systems composed of a large number of interacting particles. The thesis delves into statistical mechanics, phase transitions, and interactions, with a focus on hard-core particles and imitative interactions on complete graphs and locally tree-like random graphs. It also examines a liquid crystal model on a 2D lattice, discussing polymer representation, cluster expansion, and liquid crystal properties. The thesis is divided into seven chapters, covering topics such as introductions to statistical mechanics, monomer-dimer models, definitions and general results, hard-core interactions, and violations of the law of large numbers and central limit theorem.

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Diego Alberici's PhD thesis in Mathematics at the University of Bologna, titled "Statistical Mechanics of Hard-Core Particles with Attractive Interactions",...

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  • File Format: PDF
  • File Size: 1.85 MB
  • Pages: 184
  • Language: EN
  • Total Downloads: 132
  • Last Updated: 3 weeks ago

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