Self-consistent mode-coupling approach to one-dimensional heat transport

Luca Delfini, Stefano Lepri, Roberto Livi, Antonio Politi

Research output: Contribution to journalArticlepeer-review

86 Citations (Scopus)


In the present Rapid Communication we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario to accommodate the known results obtained so far for this problem. More precisely, we conjecture that the universality class is determined by the leading order of the nonlinear interaction potential. Moreover, our analysis allows us to determine the memory kernel, whose expression puts on a more firm basis the previously conjectured connection between anomalous heat conductivity and anomalous diffusion.

Original languageEnglish
Article number060201
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number6
Publication statusPublished - Jun 2006


  • molecular-dynamics simulation
  • thermal-conductivity
  • diffusion
  • lattices
  • relaxation
  • chains


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