Monte Carlo studies of the quantumXYmodel in two dimensions

1985 ◽  
Vol 31 (7) ◽  
pp. 4712-4714 ◽  
Author(s):  
E. Loh ◽  
D. J. Scalapino ◽  
P. M. Grant
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Monte Carlo Studies

Monte Carlo studies of polymer-chain dimensions in the melt in two dimensions

1989 ◽  
Vol 22 (7) ◽  
pp. 3120-3124 ◽  
Author(s):  
Johannes Reiter ◽  
Gerhard Zifferer ◽  
Oskar Friedrich Olaj
Keyword(s):  
Monte Carlo ◽  
Polymer Chain ◽  
Two Dimensions ◽  
Monte Carlo Studies

MONTE CARLO STUDIES OF A NEW MODEL DRIVEN DIFFUSIVE SYSTEM WITH REPULSIVE INTERACTIONS

1992 ◽  
Vol 06 (26) ◽  
pp. 1673-1679
Author(s):  
K.K. MON
Keyword(s):  
Monte Carlo ◽  
Lattice Gas ◽  
Nearest Neighbor ◽  
Two Dimensions ◽  
Model Driven ◽  
New Class ◽  
Driven Lattice Gas ◽  
Driven Diffusive System ◽  
Monte Carlo Studies ◽  
Repulsive Interactions

We propose a new class of driven lattice gas with repulsive nearest-neighbor interactions. Particles are allowed to jump to empty next-nearest-neighbor (nnn) sites in addition to the standard nearest-neighbor moves. In contrast to previous model with repulsive interactions, the external driving field (E) acts only along the nnn directions and does not destroy ground state sublattice ordering. Extensive Monte Carlo simulations in two dimensions for small E are consistent with a line of continuous transitions with Ising exponents. First-order transitions are also found for larger E.

MONTE CARLO STUDIES OF THE THREE-DIMENSIONAL ISING MODEL IN EQUILIBRIUM

2001 ◽  
Vol 12 (07) ◽  
pp. 911-1009 ◽  
Author(s):  
MARTIN HASENBUSCH
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Three Dimensional ◽  
Finite Size ◽  
Two Dimensions ◽  
Three Dimensions ◽  
Amplitude Ratios ◽  
Interface Tension ◽  
Monte Carlo Studies

We review Monte Carlo simulations of the Ising model and similar models in three dimensions that were performed in the last decade. Only recently, Monte Carlo simulations provide more accurate results for critical exponents than field theoretic methods, such as the ∊-expansion. These results were obtained with finite size scaling and "improved actions". In addition, we summarize Monte Carlo results for universal amplitude ratios, the interface tension, and the dimensional crossover from three to two dimensions.

Reply to ‘‘Comment on ‘Monte Carlo studies of the quantumXYmodel in two dimensions’ ’’

1986 ◽  
Vol 33 (7) ◽  
pp. 5104-5104 ◽  
Author(s):  
E. Loh ◽  
D. J. Scalapino ◽  
P. M. Grant
Keyword(s):  
Monte Carlo ◽  
Two Dimensions ◽  
Monte Carlo Studies

scholarly journals Monte Carlo studies of pion distributions from heavy ion collisions

1983 ◽  
Vol 27 (2) ◽  
pp. 606-627 ◽  
Author(s):  
Hafez M. A. Radi ◽  
John O. Rasmussen ◽  
Kenneth A. Frankel ◽  
John P. Sullivan ◽  
H. C. Song
Keyword(s):  
Monte Carlo ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Ion Collisions ◽  
Monte Carlo Studies

scholarly journals Interface Roughening in Two Dimensions

2021 ◽  
Vol 182 (3) ◽  
Author(s):  
Gernot Münster ◽  
Manuel Cañizares Guerrero
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Capillary Wave ◽  
System Size ◽  
Two Dimensions ◽  
Two Dimensional ◽  
Wave Approximation ◽  
Statistical Field ◽  
Statistical Field Theory ◽  
Interface Roughening

AbstractRoughening of interfaces implies the divergence of the interface width w with the system size L. For two-dimensional systems the divergence of $$w^2$$ w 2 is linear in L. In the framework of a detailed capillary wave approximation and of statistical field theory we derive an expression for the asymptotic behaviour of $$w^2$$ w 2 , which differs from results in the literature. It is confirmed by Monte Carlo simulations.

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