Dynamics of capillary condensation in lattice gas models of confined fluids: A comparison of dynamic mean field theory with dynamic Monte Carlo simulations

2013 ◽  
Vol 138 (23) ◽  
pp. 234709 ◽  
Author(s):  
John R. Edison ◽  
Peter A. Monson
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Lattice Gas ◽  
Capillary Condensation ◽  
Mean Field Theory ◽  
Mean Field ◽  
Confined Fluids ◽  
Dynamic Mean Field Theory ◽  
Dynamic Monte Carlo ◽  
Lattice Gas Models

scholarly journals Incorporating dynamic mean-field theory into diagrammatic Monte Carlo

2011 ◽  
Vol 83 (16) ◽  
Author(s):  
Lode Pollet ◽  
Nikolay V. Prokof’ev ◽  
Boris V. Svistunov
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamic Mean Field Theory

scholarly journals ARE FOREST FIRES PREDICTABLE?

2002 ◽  
Vol 13 (08) ◽  
pp. 1017-1031 ◽  
Author(s):  
K. MALARZ ◽  
S. KACZANOWSKA ◽  
K. KUŁAKOWSKI
Keyword(s):  
Field Theory ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Bifurcation Diagram ◽  
Forest Fires ◽  
Mean Field Theory ◽  
Mean Field ◽  
Dynamic Mean Field Theory ◽  
Starting Point ◽  
A Cell

Dynamic mean field theory is applied to the problem of forest fires. The starting point is the Monte Carlo simulation in a lattice of a million cells. The statistics of the clusters is obtained by means of the Hoshen–Kopelman algorithm. We get the map pn → pn + 1, where pn is the probability of finding a tree in a cell, and n is the discrete time. We demonstrate that the time evolution of p is chaotic. The arguments are provided by the calculation of the bifurcation diagram and the Lyapunov exponent. The bifurcation diagram reveals several windows of stability, including periodic orbits of length three, five and seven. For smaller lattices, the results of the iteration are in qualitative agreement with the statistics of the forest fires in Canada in the years 1970–2000.

Electronic and magnetic properties of honeycomb transition metal monolayers: first-principles insights

2014 ◽  
Vol 16 (26) ◽  
pp. 13383-13389 ◽  
Author(s):  
Xinru Li ◽  
Ying Dai ◽  
Yandong Ma ◽  
Baibiao Huang
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Transition Metal ◽  
First Principles ◽  
Mean Field Theory ◽  
Mean Field ◽  
Electronic And Magnetic Properties ◽  
Dirac Systems

The electronic and magnetic properties of d-electron-based Dirac systems are studied by combining first-principles with mean field theory and Monte Carlo approaches.

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