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When relaxation towards an equilibrium or steady state is exponential at large times, one usually considers that the associated relaxation time $\tau$, i.e., the inverse of that decay rate, is the longest characteristic time in the system.…

Molecular Networks · Quantitative Biology 2015-08-17 Adrien Henry , Olivier Martin

Proteins work only if folded in their native state, but changes in temperature T and pressure P induce their unfolding. Therefore for each protein there is a stability region (SR) in the T-P thermodynamic plane outside which the biomolecule…

Soft Condensed Matter · Physics 2017-04-12 Valentino Bianco , Neus Pagès Gelabert , Ivan Coluzza , Giancarlo Franzese

We consider a frustrated spin model with a glassy dynamics characterized by a slow component and a fast component in the relaxation process. The slow process involves variables with critical behavior at finite temperature T_p and has a…

Disordered Systems and Neural Networks · Physics 2016-11-23 Giancarlo Franzese

If a contact of two purely elastic bodies with no sliding (infinite coefficient of friction) is subjected to superimposed oscillations in the normal and tangential directions, then a specific damping appears, that is not dependent on…

Soft Condensed Matter · Physics 2015-12-29 M. Popov , V. L. Popov , R. Pohrt

With the aim to understand the role of the constraints in the thermalisation of quantum systems, we study the dynamics of a family of kinetically constrained models arising through duality from the XXZ spin chain. We find that integrable…

Statistical Mechanics · Physics 2023-04-21 Lenart Zadnik , Juan P. Garrahan

Equations that govern the temperature-dependence of the rate constants, Gibbs energies,enthalpies, entropies and heat capacities of activation for folding and unfolding of spontaneously-folding fixed two-state systems have been derived…

Soft Condensed Matter · Physics 2016-05-11 Robert S. Sade

We add relaxation mechanisms that mimic the effect of temperature and non-equilibrium driving to the recently-proposed spiral model which jams at a critical density rho_c < 1. This enables us to explore unjamming by temperature or driving…

Soft Condensed Matter · Physics 2010-05-20 Yair Shokef , Andrea J. Liu

We use a free energy functional theory to elucidate general properties of heterogeneously ordering, fast folding proteins, and we test our conclusions with lattice simulations. We find that both structural and energetic heterogeneity can…

Disordered Systems and Neural Networks · Physics 2009-10-31 Steven S. Plotkin , Jose N. Onuchic

The aging properties of a simple free-energy landscape model for the primary relaxation in supercooled liquids are investigated. The intermediate scattering function and the rotational correlation functions are calculated for the generic…

Soft Condensed Matter · Physics 2009-11-11 Gregor Diezemann

The parallel mutation-selection evolutionary dynamics, in which mutation and replication are independent events, is solved exactly in the case that the Malthusian fitnesses associated to the genomes are described by the Random Energy Model…

Biological Physics · Physics 2009-10-14 David B. Saakian , José F. Fontanari

The unique properties of suspensions containing both active (self-propelling) and passive matter, arising from the nonequilibrium nature of these systems, have been widely studied (e.g., enhanced diffusion, phase separation, and directed…

Computational Physics · Physics 2019-10-23 Ryan Krafnic , Angel E. Garcia

The process of protein folding from an unfolded state to a biologically active, folded conformation is governed by many parameters e.g the sequence of amino acids, intermolecular interactions, the solvent, temperature and chaperon…

Soft Condensed Matter · Physics 2010-10-19 Pragya Shukla

Considering some deposition models with limited mobility, we show that the typical decay of the interface width to its saturation value is exponential, which defines the crossover or saturation time \tau. We present a method to calculate a…

Statistical Mechanics · Physics 2007-05-23 F. D. A. Aarão Reis

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

We study the effect of rapid quench to zero temperature in a model with competing interactions, evolving through conserved spin dynamics. In a certain regime of model parameters, we find that the model belongs to the broader class of…

Soft Condensed Matter · Physics 2020-08-12 Vaibhav Gupta , Saroj Kumar Nandi , Mustansir Barma

The dynamics of a folded protein is studied in water and glycerol at a series of temperatures below and above their respective dynamical transition. The system is modeled in two distinct states whereby the protein is decoupled from the bulk…

Soft Condensed Matter · Physics 2008-09-23 C. Atilgan , A. O. Aykut , A. R. Atilgan

We show that the density and temperature dependences of the $\alpha$-relaxation time of several glassforming polymers can be described through a single scaling variable $X=e(\rho)/T$, where $e(\rho)$ is well fitted by a power law $\rho^x$,…

Soft Condensed Matter · Physics 2009-11-10 C. Alba-Simionesco , A. Cailliaux , A. Alegria , G. Tarjus

We investigate the relation between the cooperative length and the relaxation time, represented respectively by the culling time and the persistence time, in the Fredrickson-Andersen, Kob-Andersen and spiral kinetically-constrained models.…

Statistical Mechanics · Physics 2015-10-01 Eial Teomy , Yair Shokef

We numerically study the zero-temperature relaxation dynamics of several glass-forming models to their inherent structures, following quenches from equilibrium configurations sampled across a wide range of initial temperatures. In a…

Statistical Mechanics · Physics 2022-04-07 Yoshihiko Nishikawa , Misaki Ozawa , Atsushi Ikeda , Pinaki Chaudhuri , Ludovic Berthier

We show that the interplay between excluded volume effects, hydrophobicity, and hydrogen bonding of a tube-like representation of a polypeptide chain gives rise to free energy landscapes that exhibit a small number of metastable minima…