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We examine the influence of quenched disorder on the flocking transition of dense polar active matter. We consider incompressible systems of active particles with aligning interactions under the effect of either quenched random forces or…

Statistical Mechanics · Physics 2022-03-09 Riccardo Ben Alì Zinati , Marc Besse , Gilles Tarjus , Matthieu Tissier

Driven elastic manifolds in random media exhibit a depinning transition to a state with non-vanishing velocity at a critical driving force. We study the depinning of stiff directed lines, which are governed by a bending rigidity rather than…

Statistical Mechanics · Physics 2015-05-12 Horst-Holger Boltz , Jan Kierfeld

We investigate the effects of quenched randomness on the universal properties of a two-temperature lattice gas. The disorder modifies the dynamical transition rates of the system in an anisotropic fashion, giving rise to a new fixed point.…

Statistical Mechanics · Physics 2009-10-28 B. Schmittmann , C. A. Laberge

Thermal fluctuations are known to play an important role in low-dimensional systems which may undergo incommensurate-commensurate or (for an accidentally commensurate wavevector) lock-in transitions. In particular, an intermediate floating…

Statistical Mechanics · Physics 2007-05-23 T. Nattermann , T. Emig , S. Bogner

Using molecular dynamics simulations, we report a study of the dynamics of two-dimensional vortex lattices driven over a disordered medium. In strong disorder, when topological order is lost, we show that the depinning transition is…

Disordered Systems and Neural Networks · Physics 2010-10-25 Y. Fily , E. Olive , N. Di Scala , J. C. Soret

Domain walls in magnets, vortex lattices in superconductors, contact lines at depinning, and many other systems can be modelled as an elastic system subject to quenched disorder. Its field theory possesses a well-controlled perturbative…

Disordered Systems and Neural Networks · Physics 2022-08-16 Kay Joerg Wiese

The directed polymer in a 1+3 dimensional random medium is known to present a disorder-induced phase transition. For a polymer of length $L$, the high temperature phase is characterized by a diffusive behavior for the end-point displacement…

Disordered Systems and Neural Networks · Physics 2007-05-23 Cecile Monthus , Thomas Garel

Mechanical instability takes different forms in various ordered and disordered systems. We study the effect of thermal fluctuations in two disordered central-force lattice models near mechanical instability: randomly diluted triangular…

Soft Condensed Matter · Physics 2016-02-17 Leyou Zhang , Xiaoming Mao

The simultaneous effect of both disorder and crystal-lattice pinning on the equilibrium behavior of oriented elastic objects is studied using scaling arguments and a functional renormalization group technique. Our analysis applies to…

Statistical Mechanics · Physics 2009-10-31 Thorsten Emig , Thomas Nattermann

We study the real-time dynamics of local occupation numbers in a one-dimensional model of spinless fermions with a random on-site potential for a certain class of initial states. The latter are thermal (mixed or pure) states of the model in…

Statistical Mechanics · Physics 2018-10-09 Jonas Richter , Jacek Herbrych , Robin Steinigeweg

A self-consistent renormalization scheme at finite temperature and zero momentum is used together with the finite temperature renormalization group to study the temperature dependence of the mass and the coupling to one-loop order in the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Per Elmfors

We study the critical point of directed pinning/wetting models with quenched disorder. The distribution K(.) of the location of the first contact of the (free) polymer with the defect line is assumed to be of the form…

Probability · Mathematics 2009-11-13 B. Derrida , G. Giacomin , H. Lacoin , F. L. Toninelli

We study the effect of quenched random field disorder on a driven elastic interface close to the depinning transition at the upper critical dimension d_{c}=4 using the functional renormalization group. We have found that the displacement…

Disordered Systems and Neural Networks · Physics 2009-11-07 Andrei A. Fedorenko , Semjon Stepanow

Using analytic and numerical methods, we study a $2d$ Hamiltonian model of interacting particles carrying ferro-magnetically coupled continuous spins which are also locally coupled to their own velocities. This model has been characterised…

Statistical Mechanics · Physics 2020-05-14 Mathias Casiulis , Marco Tarzia , Leticia F. Cugliandolo , Olivier Dauchot

The depinning of an elastic line in a random medium is studied via an extremal model. The latter gives access to the instantaneous depinning force for each successive conformation of the line. Based on conditional statistics the universal…

Condensed Matter · Physics 2009-11-10 Damien Vandembroucq , Rune Skoe , Stephane Roux

We study the creep dynamics of a two-dimensional interface driven through a periodic potential using dynamical renormalization group methods. We find that the nature of weak-drive transport depends qualitatively on whether the temperature…

Statistical Mechanics · Physics 2009-11-07 A. M. Ettouhami , Leo Radzihovsky

We use scale invariant scattering theory to exactly determine the lines of renormalization group fixed points for $O(N)$-symmetric models with quenched disorder in two dimensions. Random fixed points are characterized by two disorder…

Statistical Mechanics · Physics 2018-05-11 Gesualdo Delfino , Noel Lamsen

Critical properties of quantum spin chains with varying degrees of disorder are studied at zero temperature by analytical and extensive density matrix renormalization methods. Generally the phase diagram is found to contain three phases.…

Disordered Systems and Neural Networks · Physics 2009-11-07 Enrico Carlon , Péter Lajko , Ferenc Iglói

Casimir friction is analyzed for a pair of dielectric particles in relative motion. We first adopt a microscopic model for harmonically oscillating particles at finite temperature T moving non-relativistically with constant velocity. We use…

Quantum Physics · Physics 2014-01-28 Johan S. Høye , Iver Brevik

Quenched disorder - in the sense of the Harris criterion - is generally a relevant perturbation at an absorbing state phase transition point. Here using a strong disorder renormalization group framework and effective numerical methods we…

Statistical Mechanics · Physics 2009-11-10 Jef Hooyberghs , Ferenc Igloi , Carlo Vanderzande