scholarly journals Multiresolution analysis in statistical mechanics. II. The wavelet transform as a basis for Monte Carlo simulations on lattices

2003 ◽  
Vol 118 (10) ◽  
pp. 4424-4431 ◽  
Author(s):  
Ahmed E. Ismail ◽  
George Stephanopoulos ◽  
Gregory C. Rutledge
2017 ◽  
Vol 19 (46) ◽  
pp. 31377-31388 ◽  
Author(s):  
Juan Ignacio Lopez Ortiz ◽  
Paola Torres ◽  
Evelina Quiroga ◽  
Claudio F. Narambuena ◽  
Antonio J. Ramirez-Pastor

Statistical mechanics studies predict how three-domain antifreeze proteins adsorb on an ice surface, with a remarkable agreement with Monte Carlo simulations.


1990 ◽  
Vol 04 (11n12) ◽  
pp. 1763-1808 ◽  
Author(s):  
W. JANKE

The statistical mechanics of fluctuating surfaces plays an important role in a variety of physical systems, ranging from biological membranes to world sheets of strings in theories of fundamental interactions. In many applications it is a good approximation to assume that the surfaces possess no tension. Their statistical properties are then governed by curvature energies only, which allow for gigantic out-of-plane undulations. These fluctuations are the “entropic” origin of long-range repulsive forces in layered surface systems. Theoretical estimates of these forces for simple model surfaces are surveyed and compared with recent Monte Carlo simulations.


Soft Matter ◽  
2016 ◽  
Vol 12 (3) ◽  
pp. 642-657 ◽  
Author(s):  
Wolfhard Janke ◽  
Wolfgang Paul

Over the last decade flat-histogram Monte Carlo simulations, especially multi-canonical and Wang–Landau simulations, have emerged as a strong tool to study the statistical mechanics of polymer chains.


2014 ◽  
Vol 16 (36) ◽  
pp. 19479-19491 ◽  
Author(s):  
Juliana Angeiras Batista da Silva ◽  
Francisco George Brady Moreira ◽  
Vivianni Marques Leite dos Santos ◽  
Ricardo Luiz Longo

H-bond networks in aqueous mixtures obtained by Monte Carlo simulations and analyzed by statistical mechanics based tools revealed small-word patterns.


Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.


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