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We perform a direct numerical simulation (DNS) of the forced, incompressible two-dimensional Navier-Stokes equation coupled with the FENE-P equations for the polymer-conformation tensor. The forcing is such that, without polymers and at low…

Fluid Dynamics · Physics 2017-04-18 Anupam Gupta , Rahul Pandit

The non-equilibrium steady states emerging from stochastic resetting to a distribution is studied. We show that for a range of processes, the steady-state moments can be expressed as a linear combination of the moments of the distribution…

Statistical Mechanics · Physics 2023-10-10 Kristian Stølevik Olsen

Limited-valency colloidal particles can self-assemble into polymeric structures analogous to molecules. While their structural equilibrium properties have attracted wide attention, insight into their dynamics has proven challenging. Here,…

Soft Condensed Matter · Physics 2021-09-08 Simon Stuij , Joep Rouwhorst , Hannah Jonas , Nicola Ruffino , Zhe Gong , Stefanno Sacanna , Peter Bolhuis , Peter Schall

We study aggregation-fragmentation processes in which pairs of clusters can aggregate, and each cluster can break into two fragments. If the rates of aggregation and fragmentation do not depend on the masses, detailed balance does not hold,…

Statistical Mechanics · Physics 2026-05-22 P. L. Krapivsky

Self-gravitating systems are expected to reach a statistical equilibrium state either through collisional relaxation or violent collisionless relaxation. However, a maximum entropy state does not always exist and the system may undergo a…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis , C. Rosier , C. Sire

Thermoreversible sol-gel transitions in solutions of rod-like associating polymers are analyzed by computer simulations and by mean field models. The sol-gel transition is determined by the divergence of the cluster weight average. The…

Condensed Matter · Physics 2015-06-24 Min Sun Yeom , Alexander V. Ermoshkin , Monica Olvera de la Cruz

We investigate the kinetics of nonlinear collision-induced fragmentation. We obtain the fragment mass distribution analytically by utilizing its travelling wave behavior. The system undergoes a shattering transition in which a finite…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , E. Ben-Naim

The aging behavior of polymer glass, poly(methyl methacrylate), has been investigated through the measurement of ac dielectric susceptibility ata fixed frequency after a temperature shift $\Delta T$ ($\le $ 20 K)between two temperatures,…

Soft Condensed Matter · Physics 2009-11-13 Koji Fukao , Sinpei Yamawaki

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

Statistical Mechanics · Physics 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

We examine a two-dimensional system of sterically repulsive interacting disks where each particle runs in a random direction. This system is equivalent to a run-and-tumble dynamics system in the limit where the run time is infinite. At low…

Soft Condensed Matter · Physics 2017-12-06 C. Reichhardt , C. J. Olson Reichhardt

Jamming is a geometric phase transition occurring in dense particle systems in the absence of temperature. We use computer simulations to analyse the effect of thermal fluctuations on several signatures of the transition. We show that…

Statistical Mechanics · Physics 2015-07-16 Atsushi Ikeda , Ludovic Berthier

Many models of flocking involve alignment rules based on the mean orientation of neighboring particles, which we show introduces microscopic non-reciprocal interactions. In the absence of this microscopic non-reciprocity an exceptional…

Soft Condensed Matter · Physics 2023-09-19 Charles Packard , Daniel M. Sussman

The yielding transition that occurs in amorphous solids under athermal quasistatic deformation has been the subject of many theoretical and computational studies. Here, we extend this analysis to include thermal effects at finite shear…

Soft Condensed Matter · Physics 2022-09-21 Daniel Korchinski , Jörg Rottler

Cyclic loading on granular packings and amorphous media exhibits a transition from reversible elastic behavior to irreversible plasticity. The present study compares the irreversibility transition and microscopic details of colloidal…

Soft Condensed Matter · Physics 2024-04-02 Khushika , Lasse Laurson , Pritam Kumar Jana

We consider an inextensible, semiflexible polymer or worm-like chain which is confined in the transverse direction by a parabolic potential and subject to a longitudinal force at the ends, so that the polymer is stretched out and…

Soft Condensed Matter · Physics 2015-05-28 Theodore W. Burkhardt

Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also…

Statistical Mechanics · Physics 2024-02-08 Ying Tang , Jing Liu , Jiang Zhang , Pan Zhang

The dynamics of an impurity (or tracer particle) immersed in a dilute granular gas under uniform shear flow is investigated. A non-equilibrium phase transition is identified from an exact solution of the inelastic Boltzmann equation for a…

Statistical Mechanics · Physics 2015-05-28 V. Garzo , E. Trizac

In frameworks of the scaling theory of phase transitions and critical phenomena the quantitative dependence of macroscopic properties on nanostructural parameters in a polymeric material is revealed. The draw ratios at neck and at break are…

Soft Condensed Matter · Physics 2012-10-30 Andrei N. Yakunin

In this chapter we review concepts and theories of polymer dynamics. We think of it as an introduction to the topic for scientists specializing in other subfields of statistical mechanics and condensed matter theory, so, for the readers…

Soft Condensed Matter · Physics 2017-08-01 Mikhail V. Tamm , Kirill Polovnikov

Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: after a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point…

Soft Condensed Matter · Physics 2017-08-16 Maxim O. Lavrentovich , Andrea J. Liu , Sidney R. Nagel