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In this work, the nonequilibrium pathways of the collapse of the helix-forming biopolymer polyalanine are investigated. To this end, the full time evolution of the helix-coil transition is simulated using molecular dynamics simulations. At…

Soft Condensed Matter · Physics 2025-08-22 Maximilian Conradi , Henrik Christiansen , Suman Majumder , Fabio Müller , Wolfhard Janke

We investigate the collapse of three inelastic particles in dimension $d \geq 2$. We obtain general results of convergence and asymptotics concerning the variables of the dynamical system describing a collapsing system of particles. We…

Mathematical Physics · Physics 2025-10-09 Théophile Dolmaire , Juan J. L. Velázquez

Collapse of the polymer chain upon the sharp decrease of solvent quality is studied. During collapse, any pair of polymer units appearing in a sufficiently close vicinity in space has the possibility with a certain probability to form an…

Soft Condensed Matter · Physics 2019-11-07 A. M. Astakhov , S. K. Nechaev , K. E. Polovnikov

Equations for dislocation evolution bridge the gap between dislocation properties and continuum descriptions of plastic behavior of crystalline materials. Computer simulations can help us verify these evolution equations and find their…

Materials Science · Physics 2020-11-11 Kamyar M. Davoudi , Joost J. Vlassak

We study the equilibrium dynamics of a single polymer chain under good solvent condition. Special emphasis is laid on varying the drag force experienced by the chain while it moves. To this end we model the solvent in a mesoscopic manner by…

Soft Condensed Matter · Physics 2019-05-01 Suman Majumder , Henrik Christiansen , Wolfhard Janke

We investigate the internal structure of a polymer during collapse from an expanded coil to a compact globule. Collapse is more probable in local regions of high curvature, so a smoothing of the fractal polymer structure occurs that…

Soft Condensed Matter · Physics 2008-11-07 G. E. Crooks , B. Ostrovsky , Y. Bar-Yam

We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a $d$-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product…

Mathematical Physics · Physics 2022-11-15 Houssam Abdul-Rahman

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

We derive reduced finite dimensional ODE models starting from one dimensional lubrication equations describing coarsening dynamics of droplets in nanometric polymer film interacting on a hydrophobically coated solid substrate in the…

Analysis of PDEs · Mathematics 2019-02-20 Georgy Kitavtsev

We study the viscoelasticity of surface polymer monolayers by measuring the dynamics of thermal concentration fluctuations with surface light scattering. For various systems of proteins and synthetic polymers we find a semi-dilute regime in…

Soft Condensed Matter · Physics 2009-11-10 Pietro Cicuta , Ian Hopkinson

We employ Monte Carlo simulations to investigate the non-equilibrium relaxation properties of the two- and three-dimensional Coulomb glass with different long-range repulsive interactions. Specifically, we explore the aging scaling laws in…

Statistical Mechanics · Physics 2016-08-08 Matthew T. Shimer , Uwe C. Tauber , Michel Pleimling

Dynamical simulations are a fundamental tool for studying the secular evolution of disc galaxies. Even at their maximum resolution, they still follow a limited number of particles and typically resolve scales of the order of a few tens of…

Astrophysics of Galaxies · Physics 2015-06-17 Francesca Iannuzzi , E. Athanassoula

Biological systems commonly combine intrinsically out-of-equilibrium active components with passive polymeric inclusions to produce unique material properties. To explore these composite systems, idealized models - such as polymers in…

Soft Condensed Matter · Physics 2025-03-27 Zahra K. Valei , Tyler N. Shendruk

We examine conditions for finite-time collapse of the solutions of the higher-order nonlinear Schr\"odinger (NLS) equation incorporating third-order dispersion, self-steepening, linear and nonlinear gain and loss, and Raman scattering; this…

Pattern Formation and Solitons · Physics 2015-11-11 V. Achilleos , S. Diamantidis , D. J. Frantzeskakis , T. P. Horikis , N. I. Karachalios , P. G. Kevrekidis

We present the Multi-Particle-Collision (MPC) dynamics approach to simulate properties of low-dimensional systems. In particular, we illustrate the method for a simple model: a one-dimensional gas of point particles interacting through…

We examine nonequilibrium features of collapse behavior in model polymers with competing crystallization and glass transitions using extensive molecular dynamics simulations. By comparing to "colloidal" systems with no covalent bonds but…

Soft Condensed Matter · Physics 2015-03-19 Robert S. Hoy , Corey S. O'Hern

We study the dynamical behavior of disordered many-particle systems with long-range Coulomb interactions by means of damage-spreading simulations. In this type of Monte-Carlo simulations one investigates the time evolution of the damage,…

Statistical Mechanics · Physics 2009-10-28 Torsten Wappler , Michael Schreiber , Thomas Vojta

Dimensionless numbers and scaling laws provide elegant insights into the characteristic properties of physical systems. Classical dimensional analysis and similitude theory fail to identify a set of unique dimensionless numbers for a…

Fluid Dynamics · Physics 2022-12-28 Xiaoyu Xie , Wing Kam Liu , Zhengtao Gan

The collapse of non-collisional dark matter and the formation of pancake structures in the Universe are investigated approximately. Collapse is described by a system of ordinary differential equations, in the model of a uniformly rotating,…

Astrophysics · Physics 2007-05-23 G. S. Bisnovatyi-Kogan , O. Yu. Tsupko

The collapse and swelling behavior of a generic homopolymer is studied using implicit-solvent, explicit-cosolvent Langevin dynamics computer simulations for varying interaction strengths. The systematic investigation reveals that polymer…

Soft Condensed Matter · Physics 2012-11-06 Anja Muzdalo , Jan Heyda , Joachim Dzubiella