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Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive…

Disordered Systems and Neural Networks · Physics 2020-04-15 Z. Ovadyahu

We consider a phenomenological continuum theory for an extensile, overdamped active nematic liquid crystal, applicable in the dense regime. Constructed from general principles, the theory is universal, with parameters independent of any…

Soft Condensed Matter · Physics 2015-06-12 Elias Putzig , Gabriel S. Redner , Arvind Baskaran , Aparna Baskaran

We study the equilibrium properties of an Ising model on a disordered random network where the disorder can be quenched or annealed. The network consists of four-fold coordinated sites connected via variable length one-dimensional chains.…

Statistical Mechanics · Physics 2015-06-22 Abdul N. Malmi-Kakkada , Oriol T. Valls , Chandan Dasgupta

We study an annealed site diluted quantum XY model with spin $S\in \frac{1}{2}\mathbb{N}$. We find regions of the parameter space where, in spite of being a priori favourable for a densely occupied state, phases with staggered occupancy…

Statistical Mechanics · Physics 2018-11-01 Roman Kotecký , Benjamin Lees

We review recent results on the anomalous transport in one-dimensional and quasi-one-dimensional systems with bulk and surface disorder. Main attention is paid to the role of long-range correlations in random potentials for the bulk…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. M. Izrailev , N. M. Makarov

We consider a two-dimensional system of elongated particles driven over a random quenched disorder landscape. For varied pinning site density, external drive magnitude, and particle elongation, we find a wide variety of dynamic phases,…

Soft Condensed Matter · Physics 2024-04-23 A. Libal , S. Stepanov , C. Reichhardt , C. J. O. Reichhardt

We give an overview on several recent topics of colossal magnetoresistive manganites in both experiments and theories, focusing on the effect of quenched disorder. The disorder is intrinsically involved since the compounds are solid…

Strongly Correlated Electrons · Physics 2015-06-25 Nobuo Furukawa , Yukitoshi Motome

Relaxor ferroelectrics are complex oxide materials which are rather unique to study the effects of compositional disorder on phase transitions. Here, we study the effects of quenched cubic random electric fields on the lattice instabilities…

Materials Science · Physics 2017-06-14 J. R. Arce-Gamboa , G. G. Guzmán-Verri

We elucidate the effects of chiral quenched disorder on the scaling properties of pure systems by considering a reduced model that is a variant of the quenched disordered cubic anisotropic O(N) model near its second order phase transition.…

Statistical Mechanics · Physics 2015-06-15 Niladri Sarkar , Abhik Basu

We study jammed near-crystalline materials composed of frictionless spheres in three dimensions. We analyze the fluctuations in positions and forces produced by small polydispersity in particle sizes. We generalize a recently developed…

Soft Condensed Matter · Physics 2022-10-19 Roshan Maharana

Systems driven far from equilibrium may exhibit anomalous density fluctuations: active matter with orientational order display giant density fluctuations at large scale, while systems of interacting particles close to an absorbing phase…

Statistical Mechanics · Physics 2026-03-23 Sara Dal Cengio , Romain Mari , Eric Bertin

We study the patterning and fluctuations of a collection of active contractile polar filaments on a two dimensional substrate, using a continuum description in the presence of athermal noise, parameterised by an active temperature $T_A$.…

Soft Condensed Matter · Physics 2012-01-20 Kripa Gowrishankar , Madan Rao

Motivated by the observation of highly unstable flowing states in suspensions of microtubules and kinesin, we analyze a model of mutually-propelled filaments suspended in a solvent. The system undergoes a mean-field isotropic-nematic…

Soft Condensed Matter · Physics 2015-05-30 L. Giomi , L. Mahadevan , B. Chakraborty , M. F. Hagan

Analytical perturbations of a family of finite-dimensional Poisson systems are considered. It is shown that the family is analytically orbitally conjugate in $U \subset \mathbb{R}^n$ to a planar harmonic oscillator defined on the symplectic…

Mathematical Physics · Physics 2019-11-22 Isaac A. García , Benito Hernández-Bermejo

The theory of phase ordering dynamics -- the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase -- is reviewed, with the emphasis on recent developments. Interest will…

Condensed Matter · Physics 2015-06-25 A. J. Bray

Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability within the corresponding regimes is given. In particular,…

Analysis of PDEs · Mathematics 2023-08-03 Christiane Bui , Christian Gesse , Jürgen Saal

We consider classical spin models of two- and three-dimensional spins with continuous symmetry and investigate the effect of a symmetry-breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean-field…

Disordered Systems and Neural Networks · Physics 2014-12-03 Anindita Bera , Debraj Rakshit , Maciej Lewenstein , Aditi Sen De , Ujjwal Sen , Jan Wehr

We study the effect of quenched disorder on the zero-range process (ZRP), a system of interacting particles undergoing biased hopping on a one-dimensional periodic lattice, with the disorder entering through random capacities of sites. In…

Statistical Mechanics · Physics 2015-08-04 Shamik Gupta , Mustansir Barma

We study the bi-dimensional $q$-Potts model with long-range bond correlated disorder. Similarly to [C. Chatelain, Phys. Rev. E 89, 032105], we implement a disorder bimodal distribution by coupling the Potts model to auxiliary…

Statistical Mechanics · Physics 2023-04-19 Francesco Chippari , Marco Picco , Raoul Santachiara

As a consequence of a continuous degeneracy of the order parameter of the superfluid 3He the quenched disorder in a form of aerogel gives rise both to a disruption of the orientational long-range order of the condensate and to a significant…

Superconductivity · Physics 2009-11-11 I. A. Fomin
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