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We derive the semiclassical Bloch dynamics with the second-order Berry phase correction in the presence of the slow-varying scalar potential as perturbation. Our mathematical derivation is based on a two-scale WKB asymptotic analysis. For a…

Analysis of PDEs · Mathematics 2020-04-15 Jianfeng Lu , Zihang Zhang , Zhennan Zhou

Using molecular dynamics simulations, we study the transient response of a binary Lennard-Jones glass subjected to periodic shear deformation. The amorphous solid is modelled as the three-dimensional Kob-Andersen binary mixture at a low…

Soft Condensed Matter · Physics 2017-02-13 Nikolai V. Priezjev

We obtain the phase diagrams of field theories of intertwined orders in the presence of periodic driving by an external field which preserves all symmetries. We consider both a conventional Landau theory of competing orders, and a…

Strongly Correlated Electrons · Physics 2026-03-27 Oriana K. Diessel , Subir Sachdev , Pietro M. Bonetti

The continuum theory of partially fluidized shear granular flows is tested and calibrated using two dimensional soft particle molecular dynamics simulations. The theory is based on the relaxational dynamics of the order parameter that…

Materials Science · Physics 2009-11-10 D. Volfson , L. S. Tsimring , I. S. Aranson

Macroscopic systems with continuous symmetries subjected to oscillatory fields have phases and transitions that are qualitatively different from their equilibrium ones. Depending on the amplitude and frequency of the fields applied,…

Statistical Mechanics · Physics 2009-11-07 I. Junier , J. Kurchan

The dynamics of a non-autonomous oscillator in which the phase and frequency of the external force depend on the dynamical variable is studied. Such a control of the phase and frequency of the external force leads to the appearance of…

Chaotic Dynamics · Physics 2020-03-18 Darina Krylosova , Evgeny Seleznev , Nataliya Stankevich

A two-dimensional system of non-locally coupled complex Ginzburg-Landau oscillators is investigated numerically for the first time. As already known for the one-dimensional case, the system exhibits anomalous spatio-temporal chaos…

chao-dyn · Physics 2007-05-23 Hiroya Nakao

Using time-dependent Ginzburg-Landau theory, we study the role of amplitude and phase fluctuations in the recovery of charge and spin stripe phases in response to a pump pulse that melts the orders. For parameters relevant to the case where…

Strongly Correlated Electrons · Physics 2013-09-11 Y. F. Kung , W. -S. Lee , C. -C. Chen , A. F. Kemper , A. P. Sorini , B. Moritz , T. P. Devereaux

Multi-domain solutions to the time-dependent Ginzburg-Landau equation in presence of an external field are analyzed using the Hirota bilinearization method. Domain-wall collisions are studied in detail considering different regimes of the…

Other Condensed Matter · Physics 2011-09-13 Andrzej Janutka

The dynamics of phase-separation in conserved systems with an O(N) continuous symmetry is investigated in the presence of an order parameter dependent mobility M(\phi)=1-a \phi^2. The model is studied analytically in the framework of the…

Statistical Mechanics · Physics 2009-10-31 Federico Corberi , Claudio Castellano

We study the phase turbulence of the one-dimensional complex Ginzburg-Landau equation, in which the defect-free chaotic dynamics of the order parameter maps to a phase equation well approximated by the Kuramoto-Sivashinsky model. In this…

Statistical Mechanics · Physics 2024-08-29 Francesco Vercesi , Susie Poirier , Anna Minguzzi , Léonie Canet

We study the kinetics of domain growth of fluid mixtures quenched from a disordered to a lamellar phase. At low viscosities, in two dimensions, when hydrodynamic modes become important, dynamical scaling is verified in the form $C(\vec k,…

Soft Condensed Matter · Physics 2016-08-31 Aiguo Xu , G. Gonnella , A. Lamura , G. Amati , F. Massaioli

The effect of surface fluctuation on the observables of quark-hadron phase transition is studied. The Ginzburg-Landau formalism is extended by the inclusion of an extra term in the free energy that depends on the vertical displacements from…

Nuclear Theory · Physics 2008-11-26 Zhen Cao , Rudolph C. Hwa

A modified version of the Ginzburg-Landau equation is introduced which accounts for asymmetric couplings between neighbors sites on a one-dimensional lattice, with periodic boundary conditions. The drift term which reflects the imposed…

Statistical Mechanics · Physics 2016-08-03 Francesca Di Patti , Duccio Fanelli , Timoteo Carletti

In the conceptual framework of phase ordering after temperature quenches below transition, we consider the underdamped Bales-Gooding-type 'momentum conserving' dynamics of a 2D martensitic structural transition from a square-to-rectangle…

Statistical Mechanics · Physics 2016-12-07 N. Shankaraiah , Awadhesh K. Dubey , Sanjay Puri , Subodh R. Shenoy

We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a dynamical steady state is attained with finite…

Statistical Mechanics · Physics 2009-11-11 P. Stansell , K. Stratford , J. -C. Desplat , R. Adhikari , M. E. Cates

Biological membranes are host to proteins and molecules which may form domain-like structures resulting in spatially-varying material properties. Vesicles with such heterogeneous membranes can exhibit intricate shapes at equilibrium and…

Soft Condensed Matter · Physics 2023-06-22 Prerna Gera , David Salac , Saverio E. Spagnolie

Periodic boundary conditions for planar mixed flows are implemented in the context of a multi-chain Brownian dynamics simulation algorithm. The effect of shear rate $\dot{\gamma}$, and extension rate $\dot{\epsilon}$, on the size of polymer…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , Chandi Sasmal , Remco Hartkamp , B. D. Todd , J. Ravi Prakash

The dynamics of a single fluid bilayer membrane in an external hydrodynamic flow field is considered. The deterministic equation of motion for the configuration is derived taking into account both viscous dissipation in the surrounding…

Soft Condensed Matter · Physics 2009-10-31 Udo Seifert

The yielding transition of amorphous materials is studied with a two-dimensional Hamiltonian model that allows both shear and volume deformations. The model is investigated as a function of the relative value of the bulk modulus $B$ with…

Soft Condensed Matter · Physics 2022-01-05 E. A. Jagla