An elementary mode coupling theory of random heteropolymer dynamics
نویسندگان
چکیده
منابع مشابه
Random heteropolymer dynamics.
We study the Langevin dynamics of the standard random heteropolymer model by mapping the problem to a supersymmetric field theory using the Martin-Siggia-Rose formalism. The resulting model is solved nonperturbatively employing a Gaussian variational approach. In constructing the solution, we assume that the chain is very long and impose the translational invariance which is expected to be pres...
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The effective equation of motion that describes the different monomer alternation along the heteropolymer chain is proposed. On this basis the supersymmetry field scheme is built up to analyze memory and ergodicity breaking effects. PACS numbers: 61.41.+e, 05.40+j, 11.30.Pb Typeset using REVTEX 1 Heteropolymer represents an ensemble of chains of different type monomers (many–letter sequences), ...
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The essential results of the mode-coupling theory for the evolution of structural relaxation in simple liquids such as the Debye-Waller-factor anomaly, the critical decay, von Schweidler’s law, the α and β -relaxation scaling, the appearance of two divergent time scales, and Kohlrausch’s law for the α -process are explained, and their relevance to the understanding of experiments in glass-formi...
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We write equations of motion for density variables that are equivalent to Newtons equations. We then propose a set of trial equations parameterised by two unknown functions to describe the exact equations. These are chosen to best fit the exact Newtonian equations. Following established ideas, we choose to separate these trial functions into a set representing integrable motions of density wave...
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In this set of lecture notes we review the mode-coupling theory of the glass transition from several perspectives. First, we derive mode-coupling equations for the description of density fluctuations from microscopic considerations with the use the Mori-Zwanzig projection operator technique. We also derive schematic mode-coupling equations of a similar form from a field-theoretic perspective. W...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1997
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.94.6.2318