scholarly journals Quantum Monte Carlo algorithm for nonlocal corrections to the dynamical mean-field approximation

2001 ◽  
Vol 64 (19) ◽  
Author(s):  
M. Jarrell ◽  
Th. Maier ◽  
C. Huscroft ◽  
S. Moukouri
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Mean Field ◽  
Field Approximation ◽  
Monte Carlo Algorithm ◽  
Mean Field Approximation

ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A JUNCTION: THE EFFECT OF UNEQUAL INJECTION RATES

2009 ◽  
Vol 20 (06) ◽  
pp. 967-978 ◽  
Author(s):  
XIONG WANG ◽  
RUI JIANG ◽  
KATSUHIRO NISHINARI ◽  
MAO-BIN HU ◽  
QING-SONG WU
Keyword(s):  
Phase Diagram ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Exclusion Processes ◽  
Asymmetric Exclusion ◽  
Asymmetric Exclusion Processes ◽  
Injection Rates

Asymmetric exclusion processes (ASEP) on lattices with a junction, in which two or more parallel lattice branches combine into a single one, is important as a model for complex transport phenomena. This paper investigates the effect of unequal injection rates in ASEP with a junction. It is a generalization of the work of Pronina and Kolomeisky [J. Stat. Mech. P07010 (2005)], in which only equal injection rates are considered. It is shown that the unequal rates give rise to new phases and the phase diagram structure is qualitatively changed. The phase diagram and the density profiles are investigated by using Monte Carlo simulations, mean field approximation and domain wall approach. The analytical results are in good agreement with Monte Carlo simulations.

THE TRANSVERSE ISING MODEL UNDER A TIME OSCILLATING FIELD

1999 ◽  
Vol 13 (02) ◽  
pp. 207-214 ◽  
Author(s):  
M. SANTOS ◽  
M. J. de OLIVEIRA
Keyword(s):  
Mean Field ◽  
Transverse Field ◽  
Field Approximation ◽  
Quantum Spin ◽  
Monte Carlo Algorithm ◽  
Mean Field Approximation ◽  
Quantum Spin Chains ◽  
Loop Area ◽  
Ising Spin ◽  
Ising Spin System

We have studied an Ising spin system in a transverse field, at zero temperature, under a time oscillating longitudinal field by means of a mean-field approximation and a Monte Carlo algorithm, appropriate to study the ground-state properties of quantum spin chains. For large values of the transverse field Γ or large amplitude h0 of the oscillating field, the magnetization oscillates around a zero value with the same frequency but delayed. Decreasing Γ, at small a h0, the system undergoes a phase transition to a state in which the magnetization oscillates around a nonzero value. We have also obtained the behavior of the hysteresis loop area near the Curie point.

scholarly journals Testing the Monte Carlo–mean field approximation in the one-band Hubbard model

2014 ◽  
Vol 90 (20) ◽  
Author(s):  
Anamitra Mukherjee ◽  
Niravkumar D. Patel ◽  
Shuai Dong ◽  
Steve Johnston ◽  
Adriana Moreo ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Hubbard Model ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
The One
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