Heat Flow in a Periodically Forced, Thermostatted Chain

Tomasz Komorowski, Joel L. Lebowitz, Stefano Olla

Research output: Contribution to journalArticlepeer-review


We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat conductivity of the system. We prove the approach of the system to a time periodic state and compute the heat current, equal to the time averaged work done on the system, in that state. This work approaches a finite positive value as the length of the chain increases. Rescaling space, the strength and/or the period of the force leads to a macroscopic temperature profile corresponding to the stationary solution of a continuum heat equation with Dirichlet-Neumann boundary conditions.

Original languageEnglish (US)
Pages (from-to)2181-2225
Number of pages45
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Jun 2023

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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