PMID- 27967160
OWN - NLM
STAT- PubMed-not-MEDLINE
DCOM- 20180709
LR  - 20180709
IS  - 2470-0053 (Electronic)
IS  - 2470-0045 (Linking)
VI  - 94
IP  - 5-1
DP  - 2016 Nov
TI  - Heat conduction in a chain of colliding particles with a stiff repulsive 
      potential.
PG  - 052137
AB  - One-dimensional billiards, i.e., a chain of colliding particles with equal 
      masses, is a well-known example of a completely integrable system. Billiards with 
      different particle masses is generically not integrable, but it still exhibits 
      divergence of a heat conduction coefficient (HCC) in the thermodynamic limit. 
      Traditional billiards models imply instantaneous (zero-time) collisions between 
      the particles. We relax this condition of instantaneous impact and consider heat 
      transport in a chain of stiff colliding particles with the power-law potential of 
      the nearest-neighbor interaction. The instantaneous collisions correspond to the 
      limit of infinite power in the interaction potential; for finite powers, the 
      interactions take nonzero time. This modification of the model leads to a 
      profound physical consequence-the probability of multiple (in particular triple) 
      -particle collisions becomes nonzero. Contrary to the integrable billiards of 
      equal particles, the modified model exhibits saturation of the heat conduction 
      coefficient for a large system size. Moreover, the identification of scattering 
      events with triple-particle collisions leads to a simple definition of the 
      characteristic mean free path and a kinetic description of heat transport. This 
      approach allows us to predict both the temperature and density dependencies for 
      the HCC limit values. The latter dependence is quite counterintuitive-the HCC is 
      inversely proportional to the particle density in the chain. Both predictions are 
      confirmed by direct numerical simulations.
FAU - Gendelman, Oleg V
AU  - Gendelman OV
AD  - Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Haifa 
      32000, Israel.
FAU - Savin, Alexander V
AU  - Savin AV
AD  - Semenov Institute of Chemical Physics, Russian Academy of Sciences, Moscow 
      119991, Russia.
LA  - eng
PT  - Journal Article
DEP - 20161123
PL  - United States
TA  - Phys Rev E
JT  - Physical review. E
JID - 101676019
EDAT- 2016/12/15 06:00
MHDA- 2016/12/15 06:01
CRDT- 2016/12/15 06:00
PHST- 2016/09/02 00:00 [received]
PHST- 2016/12/15 06:00 [entrez]
PHST- 2016/12/15 06:00 [pubmed]
PHST- 2016/12/15 06:01 [medline]
AID - 10.1103/PhysRevE.94.052137 [doi]
PST - ppublish
SO  - Phys Rev E. 2016 Nov;94(5-1):052137. doi: 10.1103/PhysRevE.94.052137. Epub 2016 
      Nov 23.