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We consider the classical response in a chaotic system. In contrast to behavior in integrable or almost integrable systems, the nonlinear classical response in a chaotic system vanishes at long times. The response also reveals certain…

Chaotic Dynamics · Physics 2009-11-13 Sergey V. Malinin , Vladimir Y. Chernyak

We probe the onset and effect of contact changes in 2D soft harmonic particle packings which are sheared quasistatically under controlled strain. First, we show that in the majority of cases, the first contact changes correspond to the…

Soft Condensed Matter · Physics 2016-12-28 Merlijn S. van Deen , Brian P. Tighe , Martin van Hecke

We study measurable quantities of bosonic and fermionic mixtures on a one-dimensional ring. These few-body ensembles consist of majority atoms obeying certain statistics (Fermi or Bose) and an impurity atom in a different hyperfine state.…

Quantum Gases · Physics 2015-05-01 Rafael E. Barfknecht , Ioannis Brouzos , Angela Foerster

Using a system of repulsive, soft particles as a model for a jammed solid, we analyze its force network as characterized by the magnitude of the contact force between two particles, the local contact angle subtended between three particles,…

Soft Condensed Matter · Physics 2010-08-27 S. -L. -Y. Xu , X. Illa , J. M. Schwarz

A quantum spin-$\frac{1}{2}$ chain with an axial symmetry is normally described by quasiparticles associated with the spins oriented along the axis of rotation. Kinetic constraints can enrich such a description by setting apart different…

Quantum Physics · Physics 2024-04-25 Maurizio Fagotti

Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: after a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point…

Soft Condensed Matter · Physics 2017-08-16 Maxim O. Lavrentovich , Andrea J. Liu , Sidney R. Nagel

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

Statistical Mechanics · Physics 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

Along the lines of the nonlinear response theory developed by Ruelle, in a previous paper we have proved under rather general conditions that Kramers-Kronig dispersion relations and sum rules apply for a class of susceptibilities describing…

Statistical Mechanics · Physics 2011-10-11 Valerio Lucarini

We determine the quantitative effect, in the maximum number of particles and other static observables, due to small anharmonic terms added to the confining potential of an atomic condensed system with negative two-body interaction. As an…

Soft Condensed Matter · Physics 2009-11-07 Victo S. Filho , Arnaldo Gammal , Lauro Tomio

The omnipresent disorder in physical systems makes it imperative to investigate its effect on the spatial range of interactions for which system remains thermodynamically extensive. Previously known bounds on the statistical free energy for…

Statistical Mechanics · Physics 2020-07-28 Pragya Shukla

Long-range interactions are ubiquitous in nature, where they are mediated by diffusive fields at the cellular scale or by visual cues for groups of animals. Short-range forces, which are paradigmatic in physics, can thus often be neglected…

Soft Condensed Matter · Physics 2025-07-15 Quan Manh Nguyen , Alberto Dinelli , Gianmarco Spera , Julien Tailleur

Ratchet effects can appear for particles interacting with an asymmetric potential under ac driving or for a thermal system in which a substrate is periodically flashed. Here, we show that a new type of collective ratchet effect can arise…

Soft Condensed Matter · Physics 2025-07-16 C. Reichhardt , C. J. O. Reichhardt

We consider in this review the statistical mechanical description of a very general microscopic lattice model of a compressible and interacting multi-component mixture of linear polymers of fixed lengths. The model contains several…

Materials Science · Physics 2007-05-23 P. D. Gujrati

Non-relativistic quantum particles bounded to a curve in R^2 by attractive contact $\delta$-interaction are considered. The interval between the energy of the transversal bound state and zero is shown to belong to the absolutely continuous…

Mathematical Physics · Physics 2020-08-13 J. Dittrich

We consider atomistic systems consisting of interacting particles arranged in atomic lattices whose quasi-static evolution is driven by time-dependent boundary conditions. The interaction of the particles is modeled by classical interaction…

Analysis of PDEs · Mathematics 2022-11-01 Rufat Badal , Manuel Friedrich , Joscha Seutter

We study whether the stationary state of two bulk-driven systems slowly exchanging particles can be described by the equality of suitably defined nonequilibrium chemical potentials. Our main result is that in a weak contact limit, chemical…

Statistical Mechanics · Physics 2018-08-29 Jules Guioth , Éric Bertin

Controllable nonlinear quantum interactions are a much sought after target for modern quantum technologies. They are typically difficult and costly to engineer for bespoke purposes. However controllable nonlinearities may have always been…

Quantum Physics · Physics 2025-11-25 Luca Ornigotti , Darren W. Moore , Radim Filip

Throughout physics, stable composite objects are usually formed via attractive forces, which allow the constituents to lower their energy by binding together. Repulsive forces separate particles in free space. However, in a structured…

Other Condensed Matter · Physics 2007-05-23 K. Winkler , G. Thalhammer , F. Lang , R. Grimm , J. Hecker Denschlag , A. J. Daley , A. Kantian , H. P. Buechler , P. Zoller

Jamming is ubiquitous in disordered systems, but the critical behavior of jammed solids subjected to active forces or thermal fluctuations remains elusive. In particular, while passive athermal jamming remains mean-field-like in two and…

Soft Condensed Matter · Physics 2024-04-26 Shalabh K. Anand , Chiu Fan Lee , Thibault Bertrand

This review describes the diversity of jammed configurations attainable by frictionless convex nonoverlapping (hard) particles in Euclidean spaces and for that purpose it stresses individual-packing geometric analysis. A fundamental feature…

Statistical Mechanics · Physics 2015-05-19 Salvatore Torquato , Frank H. Stillinger
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