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相关论文: Random Heteropolymer Dynamics

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We study a random heteropolymer model with Langevin dynamics, in the supersymmetric formulation. Employing a procedure similar to one that has been used in static calculations, we construct an ensemble in which the affinity of the system…

统计力学 · 物理学 2009-11-07 Zoran Konkoli , John Hertz

The Langevin dynamics of a random heteropolymer and its dynamic glass transition are studied using elementary mode coupling theory. Contrary to recent reports using a similar framework, a discontinuous ergodic-nonergodic phase transition is…

统计力学 · 物理学 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

In this paper the Martin-Siggia-Rose (MSR) functional integral representation is used for the study of the Langevin dynamics of a polymer melt in terms of collective variables: mass density and response field density. The resulting…

软凝聚态物质 · 物理学 2009-10-30 V. G. Rostiashvili , M. Rehkopf , T. A. Vilgis

We study the out-of-equilibrium large time dynamics of a gaussian polymer chain in a quenched random potential. The dynamics studied is a simple Langevin dynamics commonly referred to as the Rouse model. The equations for the two-time…

无序系统与神经网络 · 物理学 2009-11-11 Yadin Y. Goldschmidt

We derive a general mean-field theory of inhomogeneous polymer dynamics; a theory whose form has been speculated and widely applied, but not heretofore derived. Our approach involves a functional integral representation of a…

软凝聚态物质 · 物理学 2015-06-18 Glenn H. Fredrickson , Henri Orland

We study the Langevin dynamics of a heteropolymer by means of a mode-coupling approximation scheme, giving rise to a set of coupled integro-differential equations relating the response and correlation functions. The analysis shows that…

无序系统与神经网络 · 物理学 2007-05-23 Estelle Pitard , Eugene I. Shakhnovich

In this paper the Martin-Siggia-Rose formalism is used to derive a generalized Rouse equation for a test chain in a matrix which can undergo the glass transition. It is shown that the surrounding matrix renormalizes the static properties of…

化学物理 · 物理学 2009-10-30 M. Rehkopf , V. G. Rostiashvili , T. A. Vilgis

By making use of the Langevin dynamics and its generating functional (GF) formulation the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so two types of…

统计力学 · 物理学 2009-10-31 V. G. Rostiashvili , T. A. Vilgis

Recent rapid advances in single particle tracking and supercomputing techniques resulted in an unprecedented abundance of diffusion data exhibiting complex behaviours, such the presence of power law tails of the msd and memory functions,…

统计力学 · 物理学 2018-10-08 Jakub Ślęzak

We investigate by the use of the Martin - Siggia - Rose generating functional technique and the self - consistent Hartree approximation, the dynamics of the ring homopolymer collapse (swelling) following an instantaneous change into a poor…

软凝聚态物质 · 物理学 2007-05-23 V. G. Rostiashvili , N. -K. Lee , T. A. Vilgis

We study analytically the equilibrium and near-equilibrium properties of a model of surfaces relaxing via linear surface diffusion and subject to a lattice potential. We employ the variational mean field formalism introduced by Saito for…

统计力学 · 物理学 2007-05-23 Esteban Moro , Rodolfo Cuerno

We introduce a new approach to studying spherical spin glass dynamics based on differential inequalities for one-time observables. Using this approach, we obtain an approximate phase diagram for the evolution of the energy $H$ and its…

概率论 · 数学 2023-06-23 Gerard Ben Arous , Reza Gheissari , Aukosh Jagannath

We propose a new analytic approach to study the phase diagram of random heteropolymers, based on the cavity method. For copolymers we analyze the nature and phenomenology of the glass transition as a function of sequence correlations.…

无序系统与神经网络 · 物理学 2009-11-10 A. Montanari , M. Mueller , M. Mezard

Mean-field models of glasses that present a random first order transition exhibit highly non-trivial fluctuations. Building on previous studies that focused on the critical scaling regime, we here obtain a fully quantitative framework for…

无序系统与神经网络 · 物理学 2022-08-09 Giampaolo Folena , Giulio Biroli , Patrick Charbonneau , Yi Hu , Francesco Zamponi

We demonstrate the use of Langevin spin dynamics for studying dynamical properties of an archetypical spin glass system. Simulations are performed on CuMn (20% Mn) where we study the relaxation that follows a sudden quench of the system to…

材料科学 · 物理学 2009-11-13 B. Skubic , O. E. Peil , J. Hellsvik , P. Nordblad , L. Nordström , O. Eriksson

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

统计力学 · 物理学 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

A theoretical analysis [Angelani et al., Phys. Rev. Lett. 96, 065702 (2006)] predicts glassy behaviour of light in a nonlinear random medium. This implies slow dynamics related to the presence of many metastable states. We consider very…

无序系统与神经网络 · 物理学 2016-08-31 Luca Angelani , Claudio Conti , Giancarlo Ruocco , Francesco Zamponi

This lecture deals with glassy dynamics and aging in disordered systems. Special emphasis is put on dynamic mean field theory. In the first part I present some of the systems of interest, in particular spin-glasses, supercooled liquids and…

无序系统与神经网络 · 物理学 2007-05-23 Heinz Horner

In this paper we analyse both the dynamics and the high density physics of the infinite dimensional lattice gas model for random heteropolymers recently introduced in \cite{jort}. Restricting ourselves to site-disordered heteropolymers, we…

无序系统与神经网络 · 物理学 2009-11-07 H. Chakravorty , J. van Mourik , A. C. C. Coolen

When analyzing the equilibrium properties of a stochastic process, identifying the parity of the variables under time-reversal is imperative. This initial step is required to assess the presence of detailed balance, and to compute the…

统计力学 · 物理学 2025-04-09 Dario Lucente , Marco Baldovin , Massimiliano Viale , Angelo Vulpiani
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