The influence of the anisotropy on the phase diagram of the one-dimensional N-vector model with a long-range interaction

1987 ◽  
Vol 125 (6-7) ◽  
pp. 299-302 ◽  
Author(s):  
S.A. Bulgadaev
Keyword(s):  
Phase Diagram ◽  
Long Range ◽  
Vector Model ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
The One ◽  
N Vector

SHORT-TIME DYNAMICS OF THE RANDOM n-VECTOR MODEL WITH LONG-RANGE INTERACTION

2003 ◽  
Vol 17 (23) ◽  
pp. 1227-1236 ◽  
Author(s):  
YUAN CHEN ◽  
ZHI-BING LI
Keyword(s):  
Long Range ◽  
High Temperature Phase ◽  
Vector Model ◽  
Temperature Phase ◽  
Range Interaction ◽  
Time Dynamics ◽  
Long Range Interaction ◽  
Renormalization Group Approach ◽  
Short Time ◽  
N Vector

The short-time critical behavior of the random n-vector model with long-range interaction is studied by the theoretic renormalization-group approach. After a sudden quench to the critical temperature from the high temperature phase, the system is released to an evolution within model A dynamics. The initial slip exponents and the dynamic exponent are calculated to two-loop order.

THE AGING BEHAVIOR OF THE RANDOM n-VECTOR MODEL WITH LONG-RANGE INTERACTION

2007 ◽  
Vol 21 (23) ◽  
pp. 1555-1568 ◽  
Author(s):  
YUAN CHEN
Keyword(s):  
Long Range ◽  
Vector Model ◽  
Aging Behavior ◽  
Range Interaction ◽  
Fluctuation Dissipation ◽  
Long Range Interaction ◽  
Renormalization Group Approach ◽  
Long Time ◽  
Short Time ◽  
N Vector

The aging behavior of the random n-vector model with long-range interaction decaying as r-(d+σ) (where d is the dimensionality), is investigated by the theoretic renormalization-group approach. The system initially disordered at a high temperature is firstly quenched to the critical temperature T c and then released to an evolution with model A dynamics. The aging properties are studied by the short-time expansions. The scaling behavior of two-time response and correlation functions are obtained in a frame of the expansion in ∊ = 2σ-d. In dimensions d < 2σ, the long-time limit of the critical fluctuation dissipation ratio X∞ is calculated up to one-loop order. The simulation of X∞ is discussed.

Charge- and spin-susceptibilities in the one-dimensional hubbard model with long-range interaction

1994 ◽  
Vol 235-240 ◽  
pp. 2303-2304
Author(s):  
S. Yunoki ◽  
K. Tsutsui ◽  
Y. Ohta ◽  
S. Maekawa
Keyword(s):  
Hubbard Model ◽  
Long Range ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
The One

scholarly journals Dynamic critical behavior of the one-dimensional XY model with a long-range interaction

2018 ◽  
Vol 98 (3) ◽  
Author(s):  
Seong-Gyu Yang ◽  
Hye Jin Park ◽  
Beom Jun Kim
Keyword(s):  
Long Range ◽  
Critical Behavior ◽  
Xy Model ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
The One

Bethe lattice approximation of the one-dimensional Potts model with long-range interaction

1994 ◽  
Vol 191 (1-2) ◽  
pp. 193-199 ◽  
Author(s):  
L.B. Bernardes ◽  
S. Goulart Rosa
Keyword(s):  
Long Range ◽  
Potts Model ◽  
Bethe Lattice ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Lattice Approximation ◽  
The One

scholarly journals ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL UNDER WEAK AND SPARSE EXTERNAL FIELD

2009 ◽  
Vol 23 (32) ◽  
pp. 5899-5906
Author(s):  
AZER KERIMOV
Keyword(s):  
Ising Model ◽  
External Field ◽  
Long Range ◽  
Low Temperatures ◽  
Gibbs State ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Ferromagnetic Ising Model ◽  
The One

We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state.

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