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Title: Crossover behavior of the thermal conductance and Kramers’ transition rate theory

Kramers’ theory frames chemical reaction rates in solution as reactants overcoming a barrier in the presence of friction and noise. For weak coupling to the solution, the reaction rate is limited by the rate at which the solution can restore equilibrium after a subset of reactants have surmounted the barrier to become products. For strong coupling, there are always sufficiently energetic reactants. However, the solution returns many of the intermediate states back to the reactants before the product fully forms. Here, we demonstrate that the thermal conductance displays an analogous physical response to the friction and noise that drive the heat current through a material or structure. A crossover behavior emerges where the thermal reservoirs dominate the conductance at the extremes and only in the intermediate region are the intrinsic properties of the lattice manifest. Finally, not only does this shed new light on Kramers’ classic turnover problem, this result is significant for the design of devices for thermal management and other applications, as well as the proper simulation of transport at the nanoscale.
 [1] ;  [2] ;  [3] ;  [4] ;  [5]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  2. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Univ. of Maryland, College Park, MD (United States); Oregon State Univ., Corvallis, OR (United States)
  3. Univ. of California, Merced, CA (United States)
  4. Ben-Gurion Univ. of the Negev, Beer-Sheva (Israel)
  5. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States); Oregon State Univ., Corvallis, OR (United States)
Publication Date:
OSTI Identifier:
Grant/Contract Number:
70NANB10H193; 1256/14
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 5; Journal ID: ISSN 2045-2322
Nature Publishing Group
Research Org:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org:
Country of Publication:
United States
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY computational nanotechnology; nanoscale devices; nonlinear phenomena; organic-inorganic nanostructures