Statistical mechanics of supercoiling‐induced B‐to‐Z transitions in a closed circular DNA: One‐dimensional model system with a double quadratic displacement potential and long range interactions

1985 ◽  
Vol 83 (2) ◽  
pp. 859-883 ◽  
Author(s):  
Sanzo Miyazawa
Keyword(s):  
Statistical Mechanics ◽  
Long Range ◽  
Model System ◽  
Dimensional Model ◽  
Circular Dna ◽  
One Dimensional ◽  
Displacement Potential ◽  
Long Range Interactions

A new colloidal model system to study long-range interactions quantitatively in real space

2003 ◽  
Vol 15 (48) ◽  
pp. S3581-S3596 ◽  
Author(s):  
C P Royall ◽  
M E Leunissen ◽  
A van Blaaderen
Keyword(s):  
Long Range ◽  
Real Space ◽  
Model System ◽  
Long Range Interactions

scholarly journals Tunable super- and subradiant boundary states in one-dimensional atomic arrays

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Anwei Zhang ◽  
Luojia Wang ◽  
Xianfeng Chen ◽  
Vladislav V. Yakovlev ◽  
Luqi Yuan
Keyword(s):  
Long Range ◽  
Quantum States ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Metrology ◽  
One Dimensional ◽  
Topological Quantum ◽  
Long Range Interactions ◽  
Boundary States ◽  
Quantum Optical

AbstractEfficient manipulation of quantum states is a key step towards applications in quantum information, quantum metrology, and nonlinear optics. Recently, atomic arrays have been shown to be a promising system for exploring topological quantum optics and robust control of quantum states, where the inherent nonlinearity is included through long-range hoppings. Here we show that a one-dimensional atomic array in a periodic magnetic field exhibits characteristic properties associated with an effective two-dimensional Hofstadter-butterfly-like model. Our work points out super- and sub-radiant topological edge states localized at the boundaries of the atomic array despite featuring long-range interactions, and opens an avenue of exploring an interacting quantum optical platform with synthetic dimensions.

AGING IN A ONE-DIMENSIONAL EDWARDS–ANDERSON SPIN GLASS MODEL WITH LONG-RANGE INTERACTIONS

2003 ◽  
Vol 14 (03) ◽  
pp. 257-265 ◽  
Author(s):  
MARCELO A. MONTEMURRO ◽  
FRANCISCO A. TAMARIT
Keyword(s):  
Long Range ◽  
Nearest Neighbor ◽  
Dynamical Behavior ◽  
Mean Field ◽  
Dimensional System ◽  
One Dimensional ◽  
Long Range Interactions ◽  
Glass Model ◽  
The One ◽  
Aging Phenomena

In this work we study, by means of numerical simulations, the out-of-equilibrium dynamics of the one-dimensional Edwards–Anderson model with long-range interactions of the form ± Jr-α. In the limit α → 0 we recover the well known Sherrington–Kirkpatrick mean-field version of the model, which presents a very complex dynamical behavior. At the other extreme, for α → ∞ the model converges to the nearest-neighbor one-dimensional system. We focus our study on the dependence of the dynamics on the history of the sample (aging phenomena) for different values of α. The model is known to have mean-field exponents already for values of α = 2/3. Our results indicate that the crossover to the dynamic mean-field occurs at a value of α < 2/3.

Long-range interactions and nonextensivity in one-dimensional systems

1999 ◽  
Vol 60 (7) ◽  
pp. 4629-4634 ◽  
Author(s):  
H. N. Nazareno ◽  
P. E. de Brito
Keyword(s):  
Long Range ◽  
One Dimensional ◽  
Long Range Interactions
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