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The dynamic response of an interacting electron system is determined by an extension of the relaxation-time approximation forced to obey local conservation laws for number, momentum and energy. A consequence of these imposed constraints is…

Strongly Correlated Electrons · Physics 2009-11-07 G. S. Atwal , N. W. Ashcroft

We investigate the nonequilibrium dynamics following a quench to zero temperature of the non-conserved Ising model with power-law decaying long-range interactions $\propto 1/r^{d+\sigma}$ in $d=2$ spatial dimensions. The zero-temperature…

Statistical Mechanics · Physics 2021-05-26 Henrik Christiansen , Suman Majumder , Wolfhard Janke

Using RG we investigate the non-equilibrium relaxation of the (Cardy-Ostlund) 2D random Sine-Gordon model, which describes pinned arrays of lines. Its statics exhibits a marginal ($\theta=0$) glass phase for $T<T_g$ described by a line of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gregory Schehr , Pierre Le Doussal

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

When a colloidal probe is forced through a viscoelastic fluid which is characterized by a long stress-relaxation time, the fluid is excited out of equilibrium. This is leading to a number of interesting effects including a non-trivial…

Soft Condensed Matter · Physics 2024-02-05 Karthika Krishna Kumar , Juliana Caspers , Félix Ginot , Matthias Krüger , Clemens Bechinger

A simple ansatz for the study of velocity autocorrelation functions in fluids at different timescales is proposed. The ansatz is based on an effective summation of the infinite continued fraction at a reasonable assumption about convergence…

Statistical Mechanics · Physics 2018-04-02 V. V. Ignatyuk , I. M. Mryglod , T. Bryk

Lattice growth models where uncorrelated random deposition competes with some aggregation dynamics that generates correlations are studied with rates of the correlated component decreasing as a power law. These models have anomalous…

Statistical Mechanics · Physics 2013-02-05 Fabio D. A. Aarao Reis

In this paper we study the convergence of a power-law model for dilatant compressible fluids to a class of models exhibiting a maximum admissible shear rate, called thick compressible fluids. These kinds of problems were studied previously…

Analysis of PDEs · Mathematics 2025-07-22 Didier Bresch , Cosmin Burtea , Maja Szlenk

We present the schematic calculations within the Langevin approach in order to investigate the dependence of fission width on the memory time and the excitation energy at low temperatures where the quantum fluctuations play an important…

Nuclear Theory · Physics 2021-08-31 F. A. Ivanyuk , S. V. Radionov , C. Ishizuka , S. Chiba

By using large-scale molecular dynamics simulations, the dynamics of two-dimensional (2D) supercooled liquids turns out to be dependent on the system size, while the size dependence is not pronounced in three dimensional (3D) systems. It is…

Statistical Mechanics · Physics 2016-12-07 Hayato Shiba , Yasunori Yamada , Takeshi Kawasaki , Kang Kim

Compressible isothermal turbulence is analyzed under the assumption of homogeneity and in the asymptotic limit of a high Reynolds number. An exact relation is derived for some two-point correlation functions which reveals a fundamental…

Solar and Stellar Astrophysics · Physics 2015-05-30 Sebastien Galtier , Supratik Banerjee

Using molecular dynamics simulations, we study dynamics of a model polymer melt composed of short chains with bead number N=10 in supercooled states. In quiescent conditions, the stress relaxation function $G(t)$ is calculated, which…

Soft Condensed Matter · Physics 2009-11-07 Ryoichi Yamamoto , Akira Onuki

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

Chaotic Dynamics · Physics 2016-09-08 F. Piazza , S. Lepri , R. Livi

In this paper, by comparing the time scales associated with the velocity relaxation and correlation time of the random force due to dust charge fluctuations, memory effects in the velocity relaxation of an isolated dust particle exposed to…

Plasma Physics · Physics 2017-04-27 Zahra Ghannad , Hossein Hakimi Pajouh

This work investigates the effects of tangent polar activity on the conformational and dynamic properties of entangled polymer melts through Langevin molecular dynamics simulations. We examine systems composed of all self-propelled,…

Soft Condensed Matter · Physics 2024-11-19 Javier Oller-Iscar , Andrés R. Tejedor , Marisol Ripoll , Jorge Ramírez

Nanoindentation cycles measured with an atomic force microscope on hydrated collagen fibrils exhibit a rate-independent hysteresis with return point memory. This previously unknown energy dissipation mechanism describes in unified form…

Soft Condensed Matter · Physics 2025-07-16 Robert Magerle , Paul Zech , Martin Dehnert , Alexandra Bendixen , Andreas Otto

We have derived the dipolar relaxation function for a cluster model whose volume distribution was obtained from the generalized maximum Tsallis nonextensive entropy principle. The power law exponents of the relaxation function are simply…

Soft Condensed Matter · Physics 2009-11-10 F. Brouers , O. Sotolongo-Costa

The thermalization process of the 2D Kitaev model is studied within the Markovian weak coupling approximation. It is shown that its largest relaxation time is bounded from above by a constant independent of the system size and proportional…

Quantum Physics · Physics 2009-11-13 R. Alicki , M. Fannes , M. Horodecki

We rigorously establish that, in disordered three-dimensional (3D) isotropic solids, the stress autocorrelation function presents anisotropic terms that decay as $1/r^3$ at long-range, with $r$ the distance, as soon as either pressure or…

Soft Condensed Matter · Physics 2018-08-06 Anaël Lemaître

The present study examines evaporative cooling and the resulting deposition patterns of a sessile $Al_2O_3$-based nanofluid droplet on a hydrophobic glass substrate at different temperatures. Evaporation predominantly occurs in the pinned…

Fluid Dynamics · Physics 2026-03-26 S. K. Saroj , P. K. Panigrahi
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