Inversion relations, phase transitions and transfer matrix excitations for special spin models in two dimensions

1989 ◽  
Vol 76 (2) ◽  
pp. 247-258 ◽  
Author(s):  
A. Kl�mper ◽  
A. Schadschneider ◽  
J. Zittartz
Keyword(s):  
Phase Transitions ◽  
Transfer Matrix ◽  
Two Dimensions ◽  
Spin Models ◽  
Inversion Relations

Phase transitions in the six‐state vector Potts model in two dimensions

1984 ◽  
Vol 55 (6) ◽  
pp. 2429-2431 ◽  
Author(s):  
Challa S. S. Murty ◽  
D. P. Landau
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
State Vector ◽  
Two Dimensions

INFLUENCE OF DIMENSIONALITY AND SURFACE ORDERING ON PHASE TRANSITIONS: STUDIES OF FREELY-SUSPENDED LIQUID-CRYSTAL FILMS

1994 ◽  
Vol 08 (22) ◽  
pp. 3051-3082 ◽  
Author(s):  
CHRISTIAN BAHR
Keyword(s):  
Phase Transitions ◽  
Liquid Crystal ◽  
Two Dimensions ◽  
Smectic Liquid Crystals ◽  
Liquid Crystal Films ◽  
Integral Number ◽  
Smectic Phases ◽  
Crystal Films ◽  
Freely Suspended ◽  
Freely Suspended Films

Freely-suspended films of smectic liquid crystals can be regarded as membranes consisting of a stack of an integral number of molecular (smectic) layers with the layer planes being parallel to the two free surfaces. Because of their variable thickness (between thousands and only two layers) and the large variety of phase transitions between different smectic phases, freely-suspended films are excellent systems to study the influence of the dimensional cross-over from three to two dimensions on phase transitions. Further, because the free surface of a liquid crystal has a strong ordering effect (contrary to solids which exhibit generally surface-induced disorder), freely-suspended films are well-suited for the study of the effect of enhanced surface order on phase transitions. A review of the corresponding experimental work is given.

scholarly journals Heterotic strings in two dimensions and new stringy phase transitions

2005 ◽  
Vol 2005 (08) ◽  
pp. 035-035 ◽  
Author(s):  
Joshua L Davis ◽  
Finn Larsen ◽  
Nathan Seiberg
Keyword(s):  
Phase Transitions ◽  
Two Dimensions ◽  
Heterotic Strings

scholarly journals ADVANCED DYNAMIC ALGORITHMS FOR THE DECAY OF METASTABLE PHASES IN DISCRETE SPIN MODELS: BRIDGING DISPARATE TIME SCALES

1999 ◽  
Vol 10 (08) ◽  
pp. 1483-1493 ◽  
Author(s):  
M. A. NOVOTNY
Keyword(s):  
Monte Carlo ◽  
Markov Chains ◽  
Transfer Matrix ◽  
Time Scales ◽  
System Size ◽  
Metastable Phases ◽  
Spin Models ◽  
Dynamic Algorithms ◽  
Absorbing Markov Chains

An overview of advanced dynamical algorithms capable of spanning the widely disparate time scales that govern the decay of metastable phases in discrete spin models is presented. The algorithms discussed include constrained transfer-matrix, Monte Carlo with Absorbing Markov Chains (MCAMC), and projective dynamics (PD) methods. The strengths and weaknesses of each of these algorithms are discussed, with particular emphasis on identifying the parameter regimes (system size, temperature, and field) in which each algorithm works best.

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