scholarly journals Finite Systems under Pressure: Assessing Volume Definition Models from Parallel-Tempering Monte Carlo Simulations

2020 ◽  
Vol 124 (20) ◽  
pp. 4036-4047
Author(s):  
Aleš Vítek ◽  
Daniel J. Arismendi-Arrieta ◽  
Martina Šarmanová ◽  
René Kalus ◽  
Rita Prosmiti
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Parallel Tempering ◽  
Finite Systems

Hyper-parallel tempering Monte Carlo simulations of Ar adsorption in new models of microporous non-graphitizing activated carbon: effect of microporosity

2007 ◽  
Vol 19 (40) ◽  
pp. 406208 ◽  
Author(s):  
Artur P Terzyk ◽  
Sylwester Furmaniak ◽  
Piotr A Gauden ◽  
Peter J F Harris ◽  
Jerzy Włoch ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Activated Carbon ◽  
Monte Carlo Simulations ◽  
Parallel Tempering ◽  
New Models

20206 Parallel Tempering Monte Carlo simulations of membrane models

2014 ◽  
Vol 2014.20 (0) ◽  
pp. _20206-1_-_20206-2_
Author(s):  
Satoshi USUI ◽  
Tatsunari HANAZONO ◽  
Hiroshi KOIBUCHI
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Parallel Tempering ◽  
Membrane Models

Parallel tempering Monte Carlo simulations of the water heptamer anion

2008 ◽  
Vol 455 (4-6) ◽  
pp. 135-138 ◽  
Author(s):  
Albert DeFusco ◽  
Thomas Sommerfeld ◽  
Kenneth D. Jordan
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Parallel Tempering

Phase transitions in free water nanoparticles. Theoretical modeling of [H2O]48 and [H2O]118

2015 ◽  
Vol 17 (16) ◽  
pp. 10532-10537 ◽  
Author(s):  
Aleš Vítek ◽  
René Kalus
Keyword(s):  
Heat Capacity ◽  
Monte Carlo ◽  
Phase Transitions ◽  
Monte Carlo Simulations ◽  
Free Water ◽  
Theoretical Modeling ◽  
Parallel Tempering ◽  
Two Dimensional ◽  
Histogram Method

Classical parallel-tempering Monte Carlo simulations of [H2O]48 and [H2O]118 have been performed in the isothermal–isobaric ensemble and a two-dimensional multiple-histogram method has been used to calculate the heat capacity of the two clusters.

HOW MONTE CARLO SIMULATIONS CAN CLARIFY COMPLEX PROBLEMS IN STATISTICAL PHYSICS

2001 ◽  
Vol 15 (09) ◽  
pp. 1193-1211 ◽  
Author(s):  
KURT BINDER
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Statistical Physics ◽  
Condensed Matter ◽  
Finite Size ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Complex Phase ◽  
Finite Systems ◽  
Scaling Methods

Statistical mechanics of condensed matter systems in physics (fluids and solids) derives macroscopic equilibrium properties of these systems as averages computed from a Hamiltonian that describes the atomistic interactions in the system. While analytic methods for most problems involve uncontrolled approximations, Monte Carlo simulations allow numerically exact treatments, apart from statistical errors and from the systematic problem that finite systems are treated rather than the thermodynamic limit. However, this problem can be overcome by finite size scaling methods, and thus Monte Carlo methods have become a very powerful tool to study even complex phase transitions. Examples given will include unmixing of polymer blends, two-dimensional melting, etc.

scholarly journals Fighting topological freezing in the two-dimensional CPN−1 model

2018 ◽  
Vol 175 ◽  
pp. 02004 ◽  
Author(s):  
Martin Hasenbusch
Keyword(s):  
Monte Carlo ◽  
Boundary Conditions ◽  
Monte Carlo Simulations ◽  
Square Lattice ◽  
Open Boundary ◽  
Parallel Tempering ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Line Defect ◽  
Slowing Down

We perform Monte Carlo simulations of the CPN−1 model on the square lattice for N = 10, 21, and 41. Our focus is on the severe slowing down related to instantons. To fight this problem we employ open boundary conditions as proposed by Lüscher and Schaefer for lattice QCD. Furthermore we test the efficiency of parallel tempering of a line defect. Our results for open boundary conditions are consistent with the expectation that topological freezing is avoided, while autocorrelation times are still large. The results obtained with parallel tempering are encouraging.

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