Nonequilibrium Distribution of the Microscopic Thermal Current in Steady Thermal Transport Systems

Satoshi Yukawa, Fumiko Ogushi, Takashi Shimada, Nobuyasu Ito

Research output: Contribution to journalArticlepeer-review


Nonequilibrium distribution of the microscopic thermal current is investigated by direct molecular dynamics simulations. The microscopic thermal current in this study is defined by a flow of kinetic energy carried by a single particle. Asymptotic parallel and antiparallel tails of the nonequilibrium distribution to an average thermal current are identical to ones of equilibrium distribution with different temperatures. These temperatures characterizing the tails are dependent on a characteristic length in which a memory of dynamics is completely erased by several particle collisions. This property of the tails of nonequilibrium distribution is confirmed in other thermal transport systems. In addition, statistical properties of a particle trapped by a harmonic potential in a steady thermal conducting state are also studied. This particle feels a finite force parallel to the average thermal current as a consequence of the skewness of the distribution of the current. This force is interpreted as the microscopic origin of thermophoresis.
Original languageEnglish (US)
Pages (from-to)415-428
Number of pages14
JournalProgress of Theoretical Physics Supplement
StatePublished - 2010
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUKI1-005-04
Acknowledgements: This work was partly supported by a Grant-in-Aid for Scientific Research (B)No. 19340110, a Grant-in-Aid for Young Scientists (B) No. 19740238 from the MinistryEducation, Culture, Sports, Science and Technology Japan, and the GlobalResearch Partnership of King Abdullah University of Science and Technology (KUKI1-005-04).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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