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<p>Focusing on a famous class of interacting diffusion processes called Ginzburg–Landau dynamics, we extend the Macroscopic Fluctuations Theory to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.</p>

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Macroscopic Fluctuation Theory for Ginzburg–Landau Dynamics with Long-Range Interactions

  • 期刊论文

  • 发表日期：

    2025年1月13日

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  • Cédric Bernardin,
  • Raphaël Chetrite

摘要

Focusing on a famous class of interacting diffusion processes called Ginzburg–Landau dynamics, we extend the Macroscopic Fluctuations Theory to these systems in the case where the interactions are long-range, and consequently, the macroscopic effective equations are described by non-linear fractional diffusion equations.