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Antipersistent energy-current correlations in strong long-ranged Fermi-Pasta-Ulam-Tsingou-type models.

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This study reveals complex heat transfer in Fermi-Pasta-Ulam-Tsingou systems with long-range interactions. Thermal transport shows a nuanced, nonmonotonic energy current correlation dependent on interaction strength, with a critical change at σ=0.5.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • The Fermi-Pasta-Ulam-Tsingou (FPUT) system is a foundational model for studying nonlinear dynamics and energy transport in discrete systems.
  • Understanding heat transfer in systems with long-range (LR) interactions is crucial for various physical phenomena, from solid-state physics to astrophysics.

Purpose of the Study:

  • To investigate the intricate heat transfer mechanisms in one-dimensional FPUT-type systems characterized by long-range interactions.
  • To analyze the dependence of thermal transport behavior on the decay exponent (σ) of LR interactions in the strong LR regime (0≤σ≤1).

Main Methods:

  • Numerical simulations of one-dimensional FPUT lattices with tunable long-range interactions.
  • Analysis of energy current correlations and their dependence on the interaction decay exponent σ.
  • Investigation of underlying mechanisms involving space-time scaling properties and scattering processes.

Main Results:

  • Observed a nonmonotonic variation in the antipersistent (negative) energy current correlation as a function of σ.
  • Identified a critical exponent σ_{c}=0.5 where the correlation exhibits a minimum negative value, indicating a qualitative change in thermal transport.
  • Demonstrated that antipersistent correlations eventually vanish for certain σ>0.5 at long times.

Conclusions:

  • The thermal transport in LR-FPUT systems exhibits complex behavior strongly dependent on the interaction range, particularly around σ=0.5.
  • The observed phenomena are attributed to the interplay between equilibrium heat correlations' scaling properties and scattering processes involving phonons and discrete breathers.
  • This research provides insights into heat dissipation and energy localization in complex, interacting many-body systems.