Bulk induced phase transition in driven diffusive systems.
Yu-Qing Wang, Rui Jiang, Anatoly B Kolomeisky, Mao-Bin Hu
Author Information
Yu-Qing Wang: State Key Laboratory of Fire Science and School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
Rui Jiang: State Key Laboratory of Fire Science and School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
Anatoly B Kolomeisky: Department of Chemistry, Rice University, Houston, TX 77005-1892, USA.
Mao-Bin Hu: State Key Laboratory of Fire Science and School of Engineering Science, University of Science and Technology of China, Hefei 230026, China.
This paper studies a weakly and asymmetrically coupled three-lane driven diffusive system. A non-monotonically changing density profile in the middle lane has been observed. When the extreme value of the density profile reaches ρ = 0.5, a bulk induced phase transition occurs which exhibits a shock and a continuously and smoothly decreasing density profile which crosses ρ = 0.5 upstream or downstream of the shock. The existence of double shocks has also been observed. A mean-field approach has been used to interpret the numerical results obtained by Monte Carlo simulations. The current minimization principle has excluded the occurrence of two or more bulk induced shocks in the general case of nonzero lane changing rates.
References
Phys Rev Lett. 2003 Feb 28;90(8):086601
[PMID: 12633448]
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 May;63(5 Pt 2):056110
[PMID: 11414964]
Phys Rev Lett. 1995 Jan 9;74(2):208-211
[PMID: 10058330]
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 1):061141
[PMID: 22304074]
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 1):031923
[PMID: 21517539]
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Apr;77(4 Pt 1):041128
[PMID: 18517599]
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Aug;64(2 Pt 2):026126
[PMID: 11497670]
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):021117
[PMID: 17930016]
Phys Rev Lett. 2005 Mar 25;94(11):115701
[PMID: 15903871]
Phys Rev Lett. 1991 Sep 30;67(14):1882-1885
[PMID: 10044275]
Phys Rev Lett. 2006 Sep 1;97(9):095701
[PMID: 17026375]
Phys Rev Lett. 2006 Aug 4;97(5):050603
[PMID: 17026091]
Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Apr;75(4 Pt 1):041123
[PMID: 17500881]
Phys Rev Lett. 2002 Jul 15;89(3):035702
[PMID: 12144403]
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jun;67(6 Pt 2):066117
[PMID: 16241314]