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SUMMARY:Temperature Interfaces in the Katz-Lebowitz-Spohn Driven Lattice G
 as - Uwe Tauber\, Virginia Tech
DTSTART:20191008T120000Z
DTEND:20191008T130000Z
UID:TALK114343@talks.cam.ac.uk
CONTACT:Professor Mike Cates
DESCRIPTION:We explore the intriguing spatial patterns that emerge in a tw
 o-dimensional \nspatially inhomogeneous Katz-Lebowitz-Spohn (KLS) driven l
 attice gas with \nattractive nearest-neighbor interactions. The domain is 
 split into two \nregions with hopping rates governed by different temperat
 ures T > T_c and \nT_c\, respectively\, where T_c indicates the critical t
 emperature for phase \nordering\, and with the temperature boundaries orie
 nted perpendicular to the \ndrive. In the hotter region\, the system behav
 es like the (totally) asymmetric\nexclusion processes (TASEP)\, and experi
 ences particle blockage in front of \nthe interface to the critical region
 . To explain this particle density \naccumulation near the interface\, we 
 have measured the steady-state current in\nthe KLS model at T > T_c and fo
 und it to decay as 1/T. In analogy with TASEP \nsystems containing "slow" 
 bonds\, transport in the high-temperature subsystem \nis impeded by the lo
 wer current in the cooler region\, which tends to set the \nglobal station
 ary particle current value. This blockage is induced by the \nextended par
 ticle clusters\, growing logarithmically with system size\, in the \ncriti
 cal region. We observe the density profiles in both high-and low-\ntempera
 ture subsystems to be similar to the well-characterized coexistence \nand 
 maximal-current phases in (T)ASEP models with open boundary conditions\, \
 nwhich are respectively governed by hyperbolic and trigonometric tangent \
 nfunctions. Yet if the lower temperature is set to T_c\, we detect marked 
 \nfluctuation corrections to the mean-field density profiles\, e.g.\, the 
 \ncorresponding critical KLS power law density decay near the interfaces i
 nto \nthe cooler region. If the temperature interface is aligened parallel
  to the\ndrive\, we observe the cooler region to act as an absorbing sink 
 for particle \ntransport\, with blockages emerging at the subsystem bounda
 ries.\n\nRef.: R.I. Mukhamadiarov\, Priyanka\, and U.C.T.\, arXiv:1907.085
 76
LOCATION:MR11\, CMS
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