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Transient bonds between fast linkers and slower particles are widespread in physical and biological systems. In spite of their diverse structure and function, a commonality is that the linkers diffuse on timescales much faster compared to…

Soft Condensed Matter · Physics 2023-06-06 Sophie Marbach , Christopher E. Miles

Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic potential. We uncover the dependence of ensemble- and…

Statistical Mechanics · Physics 2020-04-15 Xudong Wang , Yao Chen , Weihua Deng

The magnetization dynamics of the triangular lattice of Ising spin chains is investigated in the framework of a two-dimensional model. The rigid chains are assumed to interact with the nearest neighboring chains, an external magnetic field,…

Strongly Correlated Electrons · Physics 2009-11-13 Yu. B. Kudasov , A. S. Korshunov , V. N. Pavlov , D. A. Maslov

We have revisited the non-conserved (or model A) critical dynamics of the two-dimensional Ising model through numerical simulations of its lattice and continuum formulations --Glauber dynamics and the timedependent Ginzburg-Landau (TDGL)…

Statistical Mechanics · Physics 2025-12-02 Héctor Vaquero del Pino , Rodolfo Cuerno

We consider a kinetic model, which describes the sedimentation of rod-like particles in dilute suspensions under the influence of gravity. This model has recently been derived by Helzel and Tzavaras in \cite{HT2015}. Here we restrict our…

Fluid Dynamics · Physics 2017-03-09 Christiane Helzel , Athanasios E. Tzavaras

The self-diffusion coefficient of a granular gas in the homogeneous cooling state is analyzed near the shearing instability. Using mode-coupling theory, it is shown that the coefficient diverges logarithmically as the instability is…

Statistical Mechanics · Physics 2015-07-02 J. Javier Brey , Maria J. Ruiz-Montero

Diffusive dynamics in presence of deep energy minima and weak nongradient forces can be coarse-grained into a mesoscopic jump process over the various basins of attraction. Combining standard weak-noise results with a path integral…

Statistical Mechanics · Physics 2021-04-14 Gianmaria Falasco , Massimiliano Esposito

Consider a system of particles performing nearest neighbor random walks on the lattice $\ZZ$ under hard--core interaction. The rate for a jump over a given bond is direction--independent and the inverse of the jump rates are i.i.d. random…

Probability · Mathematics 2007-09-05 A. Faggionato , M. Jara , C. Landim

Movements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen , Stefan Klumpp , Reinhard Lipowsky

We show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of a dynamics of interacting hopping particles (Kawasaki dynamics)

Mathematical Physics · Physics 2008-03-26 Dmitri Finkelshtein , Yuri Kondratiev , Eugene Lytvynov

We have studied the magnetic relaxation behavior of a two-dimensional Ising ferromagnet by Monte Carlo simulation. Our primary goal is to investigate the effects of the system's geometry (area preserving) , boundary conditions, and…

Statistical Mechanics · Physics 2023-11-21 Ishita Tikader , Olivia Mallick , Muktish Acharyya

We study the Glauber dynamics of Ising spin models with random bonds, on finitely connected random graphs. We generalize a recent dynamical replica theory with which to predict the evolution of the joint spin-field distribution, to include…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. Mozeika , A. C. C. Coolen

We analyze the large-scale dynamics of vortex lattices and charge density waves driven in a disordered potential. Using a perturbative coarse-graining procedure we present an explicit derivation of non-equilibrium terms in the renormalized…

Statistical Mechanics · Physics 2009-10-30 Stefan Scheidl , Valerii M. Vinokur

The finite-frequency transport properties of a large-spin molecule attached to ferromagnetic contacts are studied theoretically in the Kondo regime. The focus is on the behavior of the dynamical conductance in the linear response regime,…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 Anna Płomińska , Maciej Misiorny , Ireneusz Weymann

The emergence of clustering and coarsening in crowded ensembles of self-propelled agents is studied using a lattice model in one-dimension. The persistent exclusion process, where particles move at directions that change randomly at a low…

Statistical Mechanics · Physics 2016-08-24 Nestor Sepulveda , Rodrigo Soto

We use a phase-separated driven two-dimensional Ising lattice gas to study fluid interfaces exposed to shear flow parallel to the interface. The interface is stabilized by two parallel walls with opposing surface fields and a driving field…

Statistical Mechanics · Physics 2009-11-13 Thomas H. R. Smith , Oleg Vasilyev , Douglas B. Abraham , Anna Maciołek , Matthias Schmidt

We consider the low but nonzero temperature regimes of the Glauber dynamics in a chain of Ising spins with first and second neighbor interactions $J_1,\, J_2$. For $0 < -J_2 / | J_1 | < 1$ it is known that at $T = 0$ the dynamics is both…

Statistical Mechanics · Physics 2015-03-23 M. D. Grynberg

We explore a new type of discretizations of lattice dynamical models of the Klein-Gordon type relevant to the existence and long-term mobility of nonlinear waves. The discretization is based on non-holonomic constraints and is shown to…

Pattern Formation and Solitons · Physics 2015-03-19 Panayotis Kevrekidis , Vakhtang Putkaradze , Zoi Rapti

The transport of excitation probabilities amongst weakly coupled subunits is investigated for a class of finite quantum systems. It is demonstrated that the dynamical behavior of the transported quantity depends on the considered length…

Statistical Mechanics · Physics 2007-10-09 Robin Steinigeweg , Heinz-Peter Breuer , Jochen Gemmer

We consider the most general single-spin-flip dynamics for the ferromagnetic Ising chain with nearest-neighbour influence and spin reversal symmetry. This dynamics is a two-parameter extension of Glauber dynamics corresponding respectively…

Statistical Mechanics · Physics 2015-05-29 C. Godreche , J. -M. Luck