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We investigate theoretically the time evolution of a one-dimensional system of spin-1/2 fermions in a harmonic trap after, initially, a spiral spin configuration far-from equilibrium is created. We predict a spin segregation building up in…

Quantum Gases · Physics 2011-12-30 Ulrich Ebling , Andre Eckardt , Maciej Lewenstein

Considering the interactions of two arbitrary particles, we obtain an internal energy expression of the complex system having long-range interactions. Based on the postulate of "equal-probability principle" for all microstates, the…

Statistical Mechanics · Physics 2017-01-19 Yanxiu Liu , Cheng Xu , Zhifu Huang , Bihong Lin , Jincan Chen

For many-body systems with short range interaction a series of relations were derived connecting many properties of the system to the dynamics of a closely packed few-body subsystems. Some of these relations were experimentally verified in…

Nuclear Theory · Physics 2016-12-21 Ronen Weiss , Ehoud Pazy , Nir Barnea

We study the effect of long-range elastic interactions in the dynamical behavior of an elastic chain driven quasi-statically in a quenched random pinning potential and in the strong pinning limit. This is a generic situation occuring in…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Tanguy , M. Gounelle , S. Roux

We examine the impact of adding a Coulomb term to a constrained system of 147 particles interacting via a Lennard-Jones (LJ) potential, finding that the inclusion of the coulombic interaction produces a shift, but no qualitative changes in…

Nuclear Theory · Physics 2007-05-23 M. J. Ison , C. O. Dorso

We study here the small time dynamics of $N$ electrons on the circle with Coul;omb repulsive interaction and study the series for the velocities (initially zero). The main result is the estimates of the convergence radius from below. We…

Mathematical Physics · Physics 2012-03-09 V. A. Malyshev

Strong short ranged positional correlations involving counterions can induce a net attractive force between negatively charged strands of DNA, and lead to the formation of ion pairs in dilute ionic solutions. But the long range of the…

Statistical Mechanics · Physics 2009-11-11 Yng-Gwei Chen , John D. Weeks

The interaction between quantum two-level systems is typically short-range in free space and most photonic environments. Here we show that diminishing momentum isosurfaces with equal frequencies can create a significantly extended range of…

We review and complete the existing literature on the kinetic theory of spatially homogeneous systems with long-range interactions taking collective effects into account. The evolution of the system as a whole is described by the…

Statistical Mechanics · Physics 2012-02-20 Pierre-Henri Chavanis

It is an undisputed textbook fact that non-retarded van der Waals (vdW) interactions between isotropic dimers are attractive, regardless of the polarizability of the interacting systems or spatial dimensionality. The universality of vdW…

Mesoscale and Nanoscale Physics · Physics 2017-05-31 Mainak Sadhukhan , Alexandre Tkatchenko

A field-theoretic approach is applied to describe behavior of homogeneous three-dimensional systems with long-range interactions defined by two order parameters at bicritical and tetracritical points. Renormalization- group equations are…

Statistical Mechanics · Physics 2009-11-11 S. V. Belim

Long-range interactions play a key role in several phenomena of quantum physics and chemistry. To study these phenomena, analog quantum simulators provide an appealing alternative to classical numerical methods. Gate-defined quantum dots…

The dynamical relaxation and scaling properties of three different variants of the contact process in two spatial dimensions are analysed. Dynamical contact processes capture a variety of contagious processes such as the spreading of…

Statistical Mechanics · Physics 2018-03-01 Lucas Böttcher , Hans Jürgen Herrmann , Malte Henkel

Small random perturbations may have a dramatic impact on the long time evolution of dynamical systems, and large deviation theory is often the right theoretical framework to understand these effects. At the core of the theory lies the…

Numerical Analysis · Mathematics 2017-10-11 Tobias Grafke , Tobias Schaefer , Eric Vanden-Eijnden

Long-range interacting systems such as nitrogen vacancy centers in diamond and trapped ions serve as useful experimental setups to probe a range of nonequilibrium many-body phenomena. In particular, via driving, various effective…

Disordered Systems and Neural Networks · Physics 2018-05-16 Wen Wei Ho , Ivan Protopopov , Dmitry A. Abanin

We found analytical solution for the time evolution of localized electron density in a system of two coupled single-level quantum dots (QDs) connected with continuous spectrum states in the presence of Coulomb interaction. This solution…

Mesoscale and Nanoscale Physics · Physics 2013-12-30 P. I. Arseev , N. S. Maslova , V. N. Mantsevich

Visual long-range interaction refers to modeling dependencies between distant feature points or blocks within an image, which can significantly enhance the model's robustness. Both CNN and Transformer can establish long-range interactions…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Xiuxiu Bai , Shuaishuai Zhao , Yao Gao , Zhe Liu

Accurately modeling contact behaviors for real-world, near-rigid materials remains a grand challenge for existing rigid-body physics simulators. This paper introduces a data-augmented contact model that incorporates analytical solutions…

Robotics · Computer Science 2022-06-23 Yifeng Jiang , Jiazheng Sun , C. Karen Liu

The theory of first order density-driven phase transitions with frustration due to the long range Coulomb (LRC) interaction develop on paper I of this series is applied to the following physical systems: i) the low density electron gas ii)…

Strongly Correlated Electrons · Physics 2016-08-31 J. Lorenzana , C. Castellani , C. Di Castro

The long-range interactions of two atoms, of an atom and a dielectric wall, of an atom and a perfectly conducting wall, and of an atom between two perfectly conducting walls are calculated, including the effects of retardation, for Li using…

Atomic Physics · Physics 2008-02-03 Zong-Chao Yan , A. Dalgarno , J. F. Babb