Monte Carlo simulations of the static friction between two grafted polymer brushes

2016 ◽  
Vol 18 (8) ◽  
pp. 6164-6174 ◽  
Author(s):  
Ana C. F. Mendonça ◽  
Florent Goujon ◽  
Patrice Malfreyt ◽  
Dominic J. Tildesley
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Monte Carlo Simulations ◽  
Polymer Brushes ◽  
Static Friction ◽  
Grafted Polymer

A configurational bias Monte Carlo method has been developed to calculate the static friction between two grafted polymer brushes.

scholarly journals Fast and accurate exercise policies for Bermudan swaptions in the LIBOR market model

2016 ◽  
Vol 03 (01) ◽  
pp. 1650005 ◽  
Author(s):  
Patrik Karlsson ◽  
Shashi Jain ◽  
Cornelis W. Oosterlee
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Monte Carlo Simulations ◽  
Upper Bound ◽  
Market Model ◽  
Monte Carlo Approach ◽  
Lower Upper ◽  
Libor Market Model ◽  
Bermudan Swaptions

This paper describes an American Monte Carlo approach for obtaining fast and accurate exercise policies for pricing of callable LIBOR Exotics (e.g., Bermudan swaptions) in the LIBOR market model using the Stochastic Grid Bundling Method (SGBM). SGBM is a bundling and regression based Monte Carlo method where the continuation value is projected onto a space where the distribution is known. We also demonstrate an algorithm to obtain accurate and tight lower–upper bound values without the need for nested Monte Carlo simulations.

The structure of polymer brushes near the transition from dilute to dense systems. A computer simulation study

Soft Matter ◽  
2021 ◽  
Author(s):  
Piotr Polanowski ◽  
Andrzej Sikorski
Keyword(s):  
Computer Simulation ◽  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Simulation Study ◽  
Polymer Brushes ◽  
Polymer Brush ◽  
Coarse Grained ◽  
Computer Simulation Study ◽  
Coarse Grained Model ◽  
Cooperative Motion

Monodisperse polymer brushes were studied by means of Monte Carlo simulations. A coarse-grained model of a polymer brush was designed in order and the Cooperative Motion Algorithm was employed to...

Theoretical Study of Twin Boundary Motion in Heusler Ni-Mn-Ga Alloys Using Monte Carlo Method

2012 ◽  
Vol 190 ◽  
pp. 327-330
Author(s):  
K.I. Kostromitin ◽  
Vasiliy D. Buchelnikov ◽  
V.V. Sokolovskiy ◽  
P. Entel
Keyword(s):  
Magnetic Field ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Monte Carlo Simulations ◽  
Twin Boundary ◽  
Constant Temperature ◽  
Theoretical Study ◽  
Heusler Alloys ◽  
Boundary Motion ◽  
Different Temperatures

The twin boundary motion in Ni-Mn-Ga Heusler alloys has been investigated using Monte Carlo simulations. The Hamiltonian of system includes magnetic and elastic parts and two magnetoelastic terms. It is shown that the twin boundary shifts in a magnetic field at the constant temperature. The spin and strain volume fractions have been obtained at different temperatures.

Spreading Characteristics of Molecularly Thin Lubricant on Surfaces With Groove-Shaped Textures: Effects of Molecular Weight and End-Group Functionality

2003 ◽  
Vol 125 (2) ◽  
pp. 350-357 ◽  
Author(s):  
Hedong Zhang ◽  
Yasunaga Mitsuya ◽  
Maiko Yamada
Keyword(s):  
Molecular Weight ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Ising Model ◽  
Monte Carlo Simulations ◽  
Simulation Method ◽  
Solid Surfaces ◽  
The Monte Carlo Method ◽  
End Groups ◽  
End Group

Effects of molecular weight and end-group functionality on spreading of molecularly thin perfluoropolyether (PFPE) film over solid surfaces with groove-shaped textures have been studied by experiments and Monte Carlo simulations. In the experiments, lubricant spreading on a surface with groove-shaped textures was measured by making use of the phenomenon in which diffracted light weakens in the lubricant-covered region. It is found that grooves serve to accelerate spreading and this effect increases for deeper grooves, and also the accelerating rate becomes larger for a lubricant having a larger molecular weight or functional end-groups. In the simulations, the Monte Carlo method based on the Ising model was extended to enable us to evaluate the effect of molecular weight on the spreading of non-functional lubricant inside a groove. The validity of the newly developed simulation method was well confirmed from the agreement between the simulation and experimental results.

scholarly journals Polymer brushes in pores by ATRP: Monte Carlo simulations

Polymer ◽  
2020 ◽  
Vol 211 ◽  
pp. 123124
Author(s):  
Piotr Polanowski ◽  
Jeremiasz K. Jeszka ◽  
Krzysztof Matyjaszewski
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Polymer Brushes

MONTE CARLO SIMULATIONS FOR THE RISK MANAGEMENT OF ENVIRONMENTAL POLLUTION

2010 ◽  
Vol 12 (01) ◽  
pp. 87-101
Author(s):  
OSAMA A. B. HASSAN
Keyword(s):  
Risk Management ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Monte Carlo Simulations ◽  
Environmental Pollution ◽  
Human Health ◽  
Stochastic Models ◽  
Chemical Pollution ◽  
The Monte Carlo Method

This article attempts to adapt the Monte Carlo method to the quantitative risk management of environmental pollution. In this context, the feasibility of stochastic models to quantitatively evaluate the risk of chemical pollution is first discussed and then linked to a case study in which Monte Carlo simulations are applied. The objective of the case study is to develop a Monte Carlo scheme for evaluating the pollution in a lake environment. It is shown that the results can be of interest as they define the risk margins that are important to the sustainability of the ecosystem in general, and human health in particular. Moreover, assessing the environmental pollution with the help of the Monte Carlo method can be feasible and serve the purpose of investigating and controlling the environmental pollution, in the long and short terms.

Backward Monte Carlo Simulations in Radiative Heat Transfer

2003 ◽  
Vol 125 (1) ◽  
pp. 57-62 ◽  
Author(s):  
Michael F. Modest
Keyword(s):  
Heat Transfer ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Monte Carlo Simulations ◽  
Optical Thickness ◽  
Radiative Heat ◽  
Forward Direction ◽  
Point Sources ◽  
Small Spot ◽  
Radiation Sources

Standard Monte Carlo methods trace photon bundles in a forward direction, and may become extremely inefficient when radiation onto a small spot and/or onto a small direction cone is desired. Backward tracing of photon bundles is known to alleviate this problem if the source of radiation is large, but may also fail if the radiation source is collimated and/or very small. In this paper various implementations of the backward Monte Carlo method are discussed, allowing efficient Monte Carlo simulations for problems with arbitrary radiation sources, including small collimated beams, point sources, etc., in media of arbitrary optical thickness.

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