A two-dimensional diffusion model of the Venice lagoon and relative open boundary conditions

1987 ◽  
Vol 37 (1-2) ◽  
pp. 21-45 ◽  
Author(s):  
Camillo Dejak ◽  
Ileana Mazzei Lalatta ◽  
Ettore Messina ◽  
Giovanni Pecenik
Keyword(s):  
Boundary Conditions ◽  
Diffusion Model ◽  
Venice Lagoon ◽  
Open Boundary ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Dimensional Diffusion

Linear collapse of spatially linear, two-dimensional null points

2002 ◽  
Vol 68 (3) ◽  
pp. 221-235 ◽  
Author(s):  
C. MELLOR ◽  
V. S. TITOV ◽  
E. R. PRIEST
Keyword(s):  
Steady State ◽  
Boundary Conditions ◽  
Plasma Flow ◽  
Magnetic Force ◽  
Open Boundary ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Pressure Force ◽  
Large Current ◽  
Steady State Balance

A technique is developed for analysing the linear collapse properties of spatially linear two-dimensional null points with open boundary conditions. A treatment is given of the collapse of nulls which have current and flow so that they are initially in a steady-state balance between a magnetic force, a pressure force and a centrifugal force. This extends the previous results for initially current-free X-type nulls with no flow. It is found that all X-points, regardless of the current and flow tend to collapse. Also, O-points collapse in the absence of a plasma flow, but O-points with a large current and possessing a highly super-Alfvénic plasma flow can be stable against linear collapse.

scholarly journals Fighting topological freezing in the two-dimensional CPN−1 model

2018 ◽  
Vol 175 ◽  
pp. 02004 ◽  
Author(s):  
Martin Hasenbusch
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Square Lattice ◽  
Open Boundary ◽  
Parallel Tempering ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Line Defect ◽  
Slowing Down

We perform Monte Carlo simulations of the CPN−1 model on the square lattice for N = 10, 21, and 41. Our focus is on the severe slowing down related to instantons. To fight this problem we employ open boundary conditions as proposed by Lüscher and Schaefer for lattice QCD. Furthermore we test the efficiency of parallel tempering of a line defect. Our results for open boundary conditions are consistent with the expectation that topological freezing is avoided, while autocorrelation times are still large. The results obtained with parallel tempering are encouraging.

K-1401 Numerical Study of Open Boundary Conditions for Two-Dimensional Jets

2001 ◽  
Vol II.01.1 (0) ◽  
pp. 205-206
Author(s):  
Shuuji TOTTORI ◽  
Takashi YOSHIDA ◽  
Masaharu MATSUBARA ◽  
Toshihiko IKEDA ◽  
Yoshiaki TSUCHIYA
Keyword(s):  
Boundary Conditions ◽  
Numerical Study ◽  
Open Boundary ◽  
Two Dimensional ◽  
Open Boundary Conditions

scholarly journals Impurity induced scale-free localization

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Linhu Li ◽  
Ching Hua Lee ◽  
Jiangbin Gong
Keyword(s):  
Boundary Conditions ◽  
Skin Effect ◽  
Reciprocal Lattice ◽  
Periodic Boundary Conditions ◽  
Open Boundary ◽  
Open Boundary Conditions ◽  
Translational Invariance ◽  
Scale Free ◽  
Special Cases ◽  
Simulation Results

AbstractNon-Hermitian systems have been shown to have a dramatic sensitivity to their boundary conditions. In particular, the non-Hermitian skin effect induces collective boundary localization upon turning off boundary coupling, a feature very distinct from that under periodic boundary conditions. Here we develop a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with periodic/open boundary conditions and even their interpolations being special cases across a whole range of boundary impurity strengths. We uncover steady states with scale-free localization along or even against the direction of non-reciprocity in various impurity strength regimes. Also present are Bloch-like states that survive albeit broken translational invariance. We further explore the co-existence of non-Hermitian skin effect and scale-free localization, where even qualitative aspects of the system’s spectrum can be extremely sensitive to impurity strength. Specific circuit setups are also proposed for experimentally detecting the scale-free accumulation, with simulation results confirming our main findings.

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