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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 non-perturbatively employing a Gaussian…

Statistical Mechanics · Physics 2009-11-07 Zoran Konkoli , John Hertz , Silvio Franz

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…

Statistical Mechanics · Physics 2009-10-30 Shoji Takada , John J. Portman , Peter G. Wolynes

In this work, we present a new model for the interpretation of the local dynamic behavior and the mechanical reinforcement mechanism in polymer nanocomposites. The temperature dependence of the dynamics in the glassy region is described by…

Soft Condensed Matter · Physics 2019-05-16 Georgios Kritikos , Kostas Karatasos

We numerically study a nondisordered lattice spin system with a first order liquid-crystal transition, as a model for supercooled liquids and glasses. Below the melting temperature the system can be kept in the metastable liquid phase, and…

Statistical Mechanics · Physics 2009-11-07 Andrea Cavagna , Irene Giardina , Tomas S. Grigera

We study the statistical mechanics of supercooled liquids when the system evolves at a temperature $T$ with a field $\epsilon$ linearly coupled to its overlap with a reference configuration of the same liquid sampled at a temperature $T_0$.…

Statistical Mechanics · Physics 2022-04-05 Benjamin Guiselin , Ludovic Berthier , Gilles Tarjus

We have analyzed a non-randomly frustrated spin model which exhibits behavior remarkably similar to the phenomenology of structural glasses. The high-temperature disordered phase undergoes a strong first-order transition to a long-range…

Statistical Mechanics · Physics 2008-02-03 Lei Gu , Bulbul Chakraborty

We present a multiscale modeling approach that integrates molecular dynamics simulations, machine learning, and the Elastically Collective Nonlinear Langevin Equation (ECNLE) theory to investigate the glass transition dynamics of polymer…

Soft Condensed Matter · Physics 2026-01-21 Nguyen T. T. Duyen , Ngo T. Que , Anh D. Phan

A directed polymer is considered on a flat substrate with randomly located parallel ridges. It prefers to lie inside wide regions between the ridges. When the transversel width $W=\exp(\lambda L^{1/3})$ is exponential in the longitudinal…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

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.…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Montanari , M. Mueller , M. Mezard

We report the combined results of molecular dynamics simulations and theoretical calculations concerning various dynamical arrest transitions in a model system representing a dipolar fluid, namely, N (softcore) rigid spheres interacting…

Understanding and predicting the glassy dynamics of polymers remain fundamental challenges in soft matter physics. While the Elastically Collective Nonlinear Langevin Equation (ECNLE) theory has been successful in describing relaxation…

Soft Condensed Matter · Physics 2025-07-09 Anh D. Phan , Ngo T. Que , Nguyen T. T. Duyen , Phan Thanh Viet , Quach K. Quang , Baicheng Mei

We describe our perspective on the Structural Glass Transition (SGT) problem built on the premise that a viable theory must provide a consistent picture of the dynamics and statics, which are manifested by large increase in shear viscosity…

Soft Condensed Matter · Physics 2009-12-15 T. R. Kirkpatrick , D. Thirumalai

We develop a new analytic approach for the study of lattice heteropolymers, and apply it to copolymers with correlated Markovian sequences. According to our analysis, heteropolymers present three different dense phases depending upon the…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Mueller , M. Mezard , A. Montanari

Structure formation in non-equilibrium steady state conditions is poorly understood. Non-equilibrium steady state can be achieved in a system by maintaining temperature gradient. A class of cross-linked micro-gel particles,…

Soft Condensed Matter · Physics 2023-08-02 Rahul Karmakar , Jaydeb Chakrabarti

We investigate the thermodynamic properties of a toy model of glasses: a hard-core lattice gas with nearest neighbor interaction in one dimension. The time-evolution is Markovian, with nearest-neighbor and next-nearest neighbor hoppings,…

Statistical Mechanics · Physics 2015-05-19 Deepak Dhar , Joel L. Lebowitz

We propose a simple dynamical model for a glass transition. The dynamics is described by a Langevin equation in a piecewise parabolic free energy landscape, modulated by a temperature dependent overall curvature. The zero-curvature point…

Soft Condensed Matter · Physics 2007-05-23 Michael O. Ignatiev , Bulbul Chakraborty

For the dynamical glassy transition in the $p$-spin mean field spin glass model a thermodynamic description is given. The often considered marginal states are not the relevant ones for this purpose. This leads to consider a cooling…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

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…

Materials Science · Physics 2009-11-13 B. Skubic , O. E. Peil , J. Hellsvik , P. Nordblad , L. Nordström , O. Eriksson

Tackling the low-temperature fate of supercooled liquids is challenging due to the immense timescales involved, which prevent equilibration and lead to the operational glass transition. Relating glassy behaviour to an underlying,…

Statistical Mechanics · Physics 2017-08-16 Francesco Turci , C. Patrick Royall , Thomas Speck

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…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. Chakravorty , J. van Mourik , A. C. C. Coolen
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