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The complete quantitative description of the structure of dense and supercooled liquids remains a notoriously difficult problem in statistical physics. Most studies to date focus solely on two-body structural correlations, and only a…

Statistical Mechanics · Physics 2023-05-17 Ilian Pihlajamaa , Corentin C. L. Laudicina , Chengjie Luo , Liesbeth M. C. Janssen

Self-propelled Brownian particles show rich out-of-equilibrium physics, for instance, the motility-induced phase separation (MIPS). While decades of studying the structure of liquids have established a deep understanding of passive systems,…

Soft Condensed Matter · Physics 2018-01-17 Andreas Härtel , David Richard , Thomas Speck

Exact and asymptotic formulas relating to dynamical correlations for overdamped Brownian motion are obtained. These formulas include a generalization of the $f$-sum rule from the theory of quantum fluids, a formula relating the static…

Statistical Mechanics · Physics 2015-06-25 P. J. Forrester , B. Jancovici

We study the Brownian dynamics of hard spheres under spatially inhomogeneous shear, using event-driven Brownian dynamics simulations and power functional theory. We examine density and current profiles both for steady states and for the…

Soft Condensed Matter · Physics 2019-10-09 Lucas L. Treffenstädt , Matthias Schmidt

Based on extensive Brownian dynamics simulations we study the thermally driven motion of a tracer bead in a cross-linked, dynamic gel network in the limit when the tracer bead's size is of the same size or even larger than the equilibrium…

Soft Condensed Matter · Physics 2014-12-24 Aljaz Godec , Maximilian Bauer , Ralf Metzler

We prove an adiabatic theorem for general densities of observables that are sums of local terms in finite systems of interacting fermions, without periodicity assumptions on the Hamiltonian and with error estimates that are uniform in the…

Mathematical Physics · Physics 2019-01-08 Domenico Monaco , Stefan Teufel

Consider a fluid composed of two species of particles, where the interparticle pair potentials $u_{11} = u_{22} \neq u_{12}$. On confining an equal number of particles from each species in a cavity, one finds that the average one body…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer

Non-hydrogen bonding van der Waals liquids with dipole-dipole interactions are typically viewed as non-associative and not considered able to sustain large supramolecular structures. Combining broadband dielectric spectroscopy (BDS) and…

Chemical Physics · Physics 2025-06-03 Shalin Patil , Catalin Gainaru , Roland Böhmer , Shiwang Cheng

We use computer simulations to study the onset of collective motion in systems of interacting active particles. Our model is a swarm of active Brownian particles with internal energy depot and interactions inspired by the dissipative…

Statistical Mechanics · Physics 2013-05-31 Vladimir Lobaskin , Maksym Romenskyy

We consider an overdamped Brownian particle moving in a confining asymptotically logarithmic potential, which supports a normalized Boltzmann equilibrium density. We derive analytical expressions for the two-time correlation function and…

Statistical Mechanics · Physics 2012-05-21 A. Dechant , E. Lutz , D. A. Kessler , E. Barkai

We performed molecular dynamics simulations to study relaxation phenomena during vapor-liquid transitions in a single component Lennard-Jones system. Results from two different overall densities are presented; one in the neighborhood of the…

Statistical Mechanics · Physics 2019-06-04 Sutapa Roy , Arabinda Bera , Suman Majumder , Subir K. Das

Colloidal particles that are confined to an interface effectively form a two-dimensional fluid. We examine the dynamics of such colloids when they are subject to a constant external force, which drives them in a particular direction over…

Soft Condensed Matter · Physics 2011-06-24 Andrew J. Archer , Alexandr Malijevsky

We propose an approach allowing the computation of currents and their correlations in interacting multiterminal mesoscopic systems involving quantum dots coupled to normal and/or superconducting leads. The formalism relies on the expression…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 J. Rech , D. Chevallier , T. Jonckheere , T. Martin

We introduce a stochastic model of two-dimensional Brownian vortices associated with the canonical ensemble. The point vortices evolve through their usual mutual advection but they experience in addition a random velocity and a systematic…

Statistical Mechanics · Physics 2009-11-13 P. H. Chavanis

We explore the changes in static structure of a two-dimensional system of active Brownian particles (ABP) with hard-disk interactions, using event-driven Brownian dynamics simulations. In particular, the effect of the self-propulsion…

Statistical Mechanics · Physics 2017-12-27 Nadine de Macedo Biniossek , Hartmut Löwen , Thomas Voigtmann , Frank Smallenburg

We discuss recent advances in developing a mode-coupling theory of the glass transition (MCT) of two-dimensional systems of active Brownian particles (ABP). We specifically discuss the case of a single ABP tracer in a glass-forming passive…

Soft Condensed Matter · Physics 2020-12-15 Julian Reichert , Leon Granz , Thomas Voigtmann

We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function.…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

We investigate motility-induced phase separation of active Brownian particles, which are modeled as purely repulsive spheres that move due to a constant swim force with freely diffusing orientation. We develop on the basis of power…

Statistical Mechanics · Physics 2019-11-13 Sophie Hermann , Philip Krinninger , Daniel de las Heras , Matthias Schmidt

We perform molecular dynamics simulation on a glass-forming liquid binary mixture with the soft-core potential in three dimensions. We investigate crossover of the configuration changes caused by stringlike jump motions. With lowering the…

Soft Condensed Matter · Physics 2015-06-11 Takeshi Kawasaki , Akira Onuki

We formulate a method to study two-body correlations in a condensate of N identical bosons. We use the adiabatic hyperspheric approach and assume a Faddeev like decomposition of the wave function. We derive for a fixed hyperradius an…

Condensed Matter · Physics 2009-11-07 O. Sorensen , D. V. Fedorov , A. S. Jensen , E. Nielsen