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We introduce a correlated static model and investigate a percolation transition. The model is a modification of the static model and is characterized by assortative degree-degree correlation. As one varies the edge density, the network…

Statistical Mechanics · Physics 2015-05-13 Sang-Woo Kim , Jae Dong Noh

The melting transition in the hard-disk system is considered. Non-equilibrium relaxation analysis of the six-fold bond-orientational order parameter has been carried out. The critical point between the hexatic and the fluid phase is…

Statistical Mechanics · Physics 2015-05-13 Hiroshi Watanabe

We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within the chaotic sea is described by an exponential decay for…

We investigate the response of a dense monodisperse quasi-two-dimensional (q2D) colloid suspension when a particle is dragged by a constant velocity optical trap. Consistent with microrheological studies of other geometries, the…

Two-dimensional systems may admit a hexatic phase and hexatic-liquid transitions of different natures. The determination of their phase diagrams proved challenging, and indeed those of hard-disks, hard regular polygons, and inverse…

Soft Condensed Matter · Physics 2020-05-29 Yan-Wei Li , Massimo Pica Ciamarra

Active fluids generate spontaneous, often chaotic mesoscale flows. Harnessing these flows to drive embedded soft materials into structures with controlled length scales and lifetimes is a key challenge at the interface between the fields of…

Soft Condensed Matter · Physics 2025-02-19 Layne B. Frechette , Aparna Baskaran , Michael F. Hagan

We study analytically and numerically the ratchet transport of interacting particles induced by a monochromatic driving in asymmetric two-dimensional structures. The ratchet flow is preserved in the limit of strong interactions and can…

Statistical Mechanics · Physics 2008-10-30 A. D. Chepelianskii , M. V. Entin , L. I. Magarill , D. L. Shepelyansky

We analyze theoretically the collective mode dispersion in multi-layer stacks of two dimensional dipolar condensates and find a strong enhancement of the roton instability. We discuss the interplay between the dynamical instability and…

Other Condensed Matter · Physics 2008-12-11 Daw-Wei Wang , Eugene Demler

We consider a model dense colloidal dispersion at the glass transition, and investigate the connection between equilibrium stress fluctuations, seen in linear shear moduli, and the shear stresses under strong flow conditions far from…

Soft Condensed Matter · Physics 2009-11-13 J. J. Crassous , M. Siebenbürger , M. Ballauff , M. Drechsler , D. Hajnal , O. Henrich , M. Fuchs

We analyze the performance of quantum ratchets by considering the dynamics of an initially localized wave packet loaded into a flashing periodic potential. The directed center-of-mass motion can be initiated by the uniform modulation of the…

Quantum Gases · Physics 2011-10-12 Fei Zhan , S. Denisov , A. V. Ponomarev , P. Hänggi

A model for two-dimensional colloids confined laterally by "structured boundaries" (i.e., ones that impose a periodicity along the slit) is studied by Monte Carlo simulations. When the distance D between the confining walls is reduced at…

Statistical Mechanics · Physics 2012-03-09 Dorothea Wilms , Nigel B. Wilding , Kurt Binder

We show that ratchet effects can occur in a glassy media of interacting particles where there is no quenched substrate. We consider simulations of a disordered binary assembly of colloids in which only one species responds to a drive. We…

Soft Condensed Matter · Physics 2009-11-10 C. Reichhardt , C. J. Olson Reichhardt , M. B. Hastings

The primary distinction between solid and liquid phases is mechanical rigidity, with liquids having a disordered atomic structure that allows flow. While melting is a common phase transition, its microscopic mechanisms still remain unclear.…

In a series of two papers, we investigate the mechanisms by which complex oscillations are generated in a class of nonlinear dynamical systems with resets modeling the voltage and adaptation of neurons. This first paper presents…

Dynamical Systems · Mathematics 2016-11-10 Jonathan E. Rubin , Justyna Signerska-Rynkowska , Jonathan D. Touboul , Alexandre Vidal

Statistics and thermally activated dynamics of crack nucleation and propagation in a two-dimensional heterogeneous material containing quenched randomly distributed defects are studied theoretically. Using the generalized Griffith criterion…

Disordered Systems and Neural Networks · Physics 2010-10-28 J. Kierfeld , V. M. Vinokur

A coarsened model for a binary system with limited miscibility of components is proposed; the system is described in terms of structural states in small parts of the material. The material is assumed to have two alternative types of…

Statistical Mechanics · Physics 2007-05-23 Leonid D. Son , German M. Rusakov , Alexander Z. Patashinski , Mark A. Ratner

A coarse-grained model of dense hard sphere colloids building on simple notions of particle mobility and spatial coherence is presented and shown to reproduce results of experiments and simulations for key quantities such as the…

Soft Condensed Matter · Physics 2018-07-06 Nikolaj Becker , Paolo Sibani , Stefan Boettcher , Skanda Vivek

We provide a minimal continuum model for mesoscale plasticity, explaining the cellular dislocation structures observed in deformed crystals. Our dislocation density tensor evolves from random, smooth initial conditions to form self-similar…

Materials Science · Physics 2010-09-03 Yong S. Chen , Woosong Choi , Stefanos Papanikolaou , James P. Sethna

Self-propelled particles accumulate on repulsive barriers in so-called active wetting, but the relationship between this process and equilibrium wetting remains unclear. Using an exact (noiseless) hydrodynamic framework for an active…

Statistical Mechanics · Physics 2025-12-10 Noah Grodzinski , Robert L. Jack , Michael E. Cates

We report on experimental evidence of directed electron transport, induced by external linear-polarized microwave irradiation, in a two-dimensional spatially-periodic asymmetrical system called ratchet. The broken spatial symmetry was…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 S. Sassine , Yu. Krupko , J. -C. Portal , Z. D. Kvon , R. Murali , K. P. Martin , G. Hill , A. D. Wieck
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