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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

The relation between relaxation and diffusion is investigated in a Hamiltonian system of globally coupled rotators. Diffusion is anomalous if and only if the system is going towards equilibrium. The anomaly in diffusion is not anomalous…

Chaotic Dynamics · Physics 2007-05-23 Yamaguchi Y. Yoshiyuki

We study the dissipative dynamics of one-dimensional fermions, described in terms of the sine-Gordon model in its free massive boson or semi-classical limit, while keeping track of forward scattering processes. The system is prepared in the…

Strongly Correlated Electrons · Physics 2022-02-22 Á. Bácsi , C. P. Moca , G. Zaránd , B. Dóra

We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient…

Soft Condensed Matter · Physics 2017-01-04 Sebastian Leitmann , Thomas Franosch

The autocorrelation function in many complex systems shows a crossover in the form of its decay: from stretched exponential relaxation (SER) at short times to power law at long times. Studies of the mechanisms leading to such multiple…

Statistical Mechanics · Physics 2024-02-20 Sukanta Mukherjee , Puneet Pareek , Mustansir Barma , Saroj Kumar Nandi

We present a theoretical study of linear wave scattering in one-dimensional nonlinear lattices by intrinsic spatially localized dynamic excitations or discrete breathers. These states appear in various nonlinear systems and present a…

Condensed Matter · Physics 2009-11-07 S. Flach , A. E. Miroshnichenko , M. V. Fistul

In order to characterize in detail the charge density wave (CDW) transition of 1$T$-VSe$_2$, its electronic structure and lattice dynamics are comprehensively studied by means of x-ray diffraction, angle resolved photoemission (ARPES),…

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic interatomic interactions, elastic deformations and discrete…

Analysis of PDEs · Mathematics 2024-07-23 Sergio Conti , Adriana Garroni , Michael Ortiz

We study the energy relaxation process in one-dimensional (1D) lattices with next-nearest-neighbor (NNN) couplings. This relaxation is produced by adding damping (absorbing conditions) to the boundary (free-end) of the lattice. Compared to…

Chaotic Dynamics · Physics 2022-07-19 Bin Xu , Jun Zhang , Wei Zhong , Chi Xiong , Daxing Xiong

We study the real time evolution of the correlation functions in a globally quenched interacting one dimensional lattice system by means of time adaptive density matrix renormalization group. We find a clear light-cone behavior quenching…

Statistical Mechanics · Physics 2017-08-16 L. Barbiero , L. Dell'Anna

We investigate theoretically how the stress propagation characteristics of granular materials evolve as they are subjected to increasing pressures, comparing the results of a two-dimensional scalar lattice model to those of a molecular…

Statistical Mechanics · Physics 2009-10-31 M. L. Nguyen , S. N. Coppersmith

Molecular dynamics simulations are performed to investigate heterogeneous dynamics in amorphous glassy materials under oscillatory shear strain. We consider three-dimensional binary Lennard-Jones mixture well below the glass transition…

Soft Condensed Matter · Physics 2013-05-10 Nikolai V. Priezjev

We construct an integrable lattice model of classical interacting spins in discrete space-time, representing a discrete-time analogue of the lattice Landau-Lifshitz ferromagnet with uniaxial anisotropy. As an application we use this…

Statistical Mechanics · Physics 2026-01-09 Žiga Krajnik , Enej Ilievski , Tomaž Prosen , Vincent Pasquier

We study energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

Statistical Mechanics · Physics 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

We examine the structure of the distribution of single particle displacements (van-Hove function) in a broad class of materials close to glass and jamming transitions. In a wide time window comprising structural relaxation, van-Hove…

Statistical Mechanics · Physics 2009-11-13 Pinaki Chaudhuri , Ludovic Berthier , Walter Kob

We studied through Monte Carlo simulations, the kinetics of the two-species diffusion-limited reaction model with same species excluded volume interaction in substrates embedded on a square lattice ranging in occupancy from a fractal…

Statistical Mechanics · Physics 2007-05-23 N. J. Goncalves , J. A. M. S. Duarte , A. Cadilhe

We study the motion of a particle sliding under the action of an external field on a stochastically fluctuating one-dimensional Edwards-Wilkinson surface. Numerical simulations using the single-step model shows that the mean-square…

Statistical Mechanics · Physics 2009-11-10 Manoj Gopalakrishnan

We study the relaxation of a test particle immersed in a bath of field particles interacting via weak long-range forces. To order 1/N in the $N\to +\infty$ limit, the velocity distribution of the test particle satisfies a Fokker-Planck…

Statistical Mechanics · Physics 2009-11-11 P. H. Chavanis

The relaxation dynamics in two van der Waals bonded and one hydrogen-bonding molecular liquids is studied as a function of pressure and temperature by incoherent neutron scattering using simultaneous dielectric spectroscopy. The dynamics is…

Soft Condensed Matter · Physics 2018-09-10 Henriette Wase Hansen , Bernhard Frick , Simone Capaccioli , Alejandro Sanz , Kristine Niss