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  • 1
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: Statistical mechanical calculations for one-dimensional interacting units have undergone great development in many fields of macromolecular science. The partition function is the most rigorous description of an ensemble of molecules in equilibrium. Specific methodological formulations and algorithms were developed to handle numerically the inclusion of long-range effects (as compared to usual nearest neighbor Ising models) and known sequence-dependent heterogeneities of biological macromolecules. The most successful approach in formulating these problems in a very general and tractable framework was the so-called matrix method. Despite several improvements, it was claimed that in practical applications this approach had fundamental limitations inherent to any “matrix” formulation. We show here that a new conceptual formulation allows us to overcome these limitations completely. We propose a general iterative procedure that combines the theoretical advantages of the matrix method with the possibility of highly optimized and efficient numerical algorithms.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    ISSN: 0006-3525
    Keywords: Chemistry ; Polymer and Materials Science
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: In Monte Carlo simulations of polymeric chains, the chains, the chains are most often represented as spheres, or cylinders with flat ends. In this methodological paper, we adopt a representation of the chains as spherocylinders (continuous cylinders ending in semispheres). With such a representation the testing for chain overlap, which is the crucial step for the incluson of the excluded volume effect in the simulations, can be defined in a rigorous geometrical framework. The treatment we then derive fulfills the following features:  - it allows a very simple, automatic, and exhaustive calsificatim of all the possible configurations; - it provides a physical representation for steric hindrance effects more natural than the flat-ended cylinders. Notably, this representation avoids the introduction of artificial anisotropies in the treatments.This spherocylindrical representation is also well suited for several types of calculations that can be involved in elaborate Monte Carlo simulations.
    Additional Material: 6 Ill.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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