Integrable open-boundary conditions for the one-dimensional Bariev chain

1996 ◽  
Vol 53 (9) ◽  
pp. 5098-5100 ◽  
Author(s):  
Huan-Qiang Zhou
Keyword(s):  
Boundary Conditions ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
One Dimensional ◽  
The One

scholarly journals A one-dimensional many-body integrable model from Zn Belavin model with open boundary conditions

1998 ◽  
Vol 39 (9) ◽  
pp. 4746-4758 ◽  
Author(s):  
Heng Fan ◽  
Bo-Yu Hou ◽  
Guang-Liang Li ◽  
Kang-Jie Shi ◽  
Yan-Shen Wang
Keyword(s):  
Boundary Conditions ◽  
Integrable Model ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Many Body ◽  
One Dimensional

Role of open boundary conditions on the hysteretic behaviour of one-dimensional spin crossover nanoparticles

2014 ◽  
Vol 115 (19) ◽  
pp. 194309 ◽  
Author(s):  
Daniel Chiruta ◽  
Jorge Linares ◽  
Seiji Miyashita ◽  
Kamel Boukheddaden
Keyword(s):  
Boundary Conditions ◽  
Spin Crossover ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Hysteretic Behaviour ◽  
One Dimensional

scholarly journals BOUNDARY K MATRICES AND THE LAX PAIR FOR ONE-DIMENSIONAL OPEN XYZ SPIN-CHAIN

1998 ◽  
Vol 13 (24) ◽  
pp. 4213-4226 ◽  
Author(s):  
GUO-XING JU ◽  
SHI-KUN WANG ◽  
KE WU ◽  
CHI XIONG
Keyword(s):  
Boundary Conditions ◽  
Spin Chain ◽  
Lax Pair ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Reflection Equation ◽  
One Dimensional

We analyze the symmetries of the reflection equation for open XYZ model and find their solutions K± case by case. In the general open boundary conditions, the Lax pair for open one-dimensional XYZ spin-chain is given.

scholarly journals The effect of on-ramp and off-ramp on the one dimensional road with open boundaries

2009 ◽  
Vol 87 (2) ◽  
pp. 105-110 ◽  
Author(s):  
Abdelaziz Mhirech ◽  
Assia Alaoui Ismaili ◽  
Hamid Ez-Zahraouy
Keyword(s):  
High Density ◽  
Open Boundary ◽  
Current Phase ◽  
Open Boundary Conditions ◽  
Exit Site ◽  
Entry Site ◽  
One Dimensional ◽  
Parallel Dynamics ◽  
The One ◽  
Intermediate Density

The effect of one on-ramp (entry) and one off-ramp (exit) is investigated numerically in a one dimensional cellular automaton traffic flow model, with open boundary conditions, using parallel dynamics. Our aim in this paper is to study how the injection rates α and α0 and the extraction rates β and β0 act on the density and flux of cars in a one dimensional road. The priority of occupation at entry site i1 (removing at exit site i2) is attributed to the particle that entered (was absorbed) the chain. Phase diagrams in (β0, α0) and (β, α0) plans are established. For α = 0.1, they show three different topologies in the flow behaviour. The first one corresponds to the presence of four regions, by varying α0, namely low-density phase (LDP), intermediate-density phase (IDP), plateau current phase (PCP), and high-density phase (HDP). In the second topology, the intermediate-density phase disappears. The third topology presents only two regions, i.e., low- and high-density phases. For small values of α, the (IDP) and (PCP) disappear, respectively, by increasing β. When increasing α, the fourth topology, corresponding to one phase (HDP), appears for low values of β and β0.

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