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Federico Corberi1, Marco Zannetti1, Eugenio Lippiello2

  • 1Dipartimento di Fisica "E. R. Caianiello," and INFN, Gruppo Collegato di Salerno, and CNISM, Unità di Salerno, Università di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.

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We numerically studied the Ising model

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Area of Science:

  • Statistical physics
  • Complex systems

Background:

  • The Ising model is a fundamental model in statistical physics.
  • Understanding coarsening dynamics is crucial for phase transitions.

Purpose of the Study:

  • To numerically investigate Ising model coarsening dynamics.
  • To propose a unifying interpretation of phase-ordering processes.
  • To link dynamics to topological features and phase transitions.

Main Methods:

  • Numerical simulations of the Ising model.
  • Analysis of domain size growth laws.
  • Study on regular lattices with random bonds and fractal substrates.

Main Results:

  • Identified two classes of dynamical behaviors: logarithmic and power-law growth.
  • Proposed a unifying interpretation of phase-ordering.
  • Found a correlation between dynamics and topological features.

Conclusions:

  • The interplay of dynamical classes is governed by topological features.
  • These features also determine the existence of finite-temperature phase transitions.