Article
Physics, Multidisciplinary
Pierre-Henri Chavanis
Summary: This study develops the kinetic theory of collisionless relaxation for systems with long-range interactions, specifically in relation to Lynden-Bell's statistical theory. The authors discuss the multi-level case and establish the connection between the kinetic equation derived from the quasilinear theory of the Vlasov equation and the relaxation equation obtained from a maximum entropy production principle. They propose a method to close the infinite hierarchy of kinetic equations and obtain a generalized Landau, Lenard-Balescu, or Kramers equation for the coarse-grained distribution function. The authors also explore the analogies with two-dimensional turbulence and potential applications to fermionic and bosonic dark matter halos.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Xiaohui Wang, Zhen-Guo Fu, Zhigang Wang, Feng Chi, Ping Zhang
Summary: We present an analytical formalism to describe the indirect interaction between adsorbed atom or molecule pairs mediated by two-dimensional (2D) Dirac fermions. Unlike the traditional 2D electron gas, the long-range interaction in the 2D Dirac system exhibits 1/r (3) decaying Friedel oscillation. Our formalism is in agreement with tight-binding numerical calculations of honeycomb lattices. It is applicable to realistic 2D Dirac materials, such as graphene and surface states of three-dimensional topological insulators.
Article
Materials Science, Multidisciplinary
T. Kamppinen, J. T. Makinen, V. B. Eltsov
Summary: At low temperatures, tunneling two-level systems often impact the performance of devices, and experimental verification is still needed for extending the theoretical description to small dimensions. The authors provide support through their investigation of nanoelectromechanical resonators. The study concludes that the geometry of the resonator plays a crucial role in managing the coupling of tunneling two-level systems with phonons.
Article
Physics, Multidisciplinary
Dylan Lewis, Asmae Benhemou, Natasha Feinstein, Leonardo Banchi, Sougato Bose
Summary: Research has shown that optimal spatial search can be achieved in one-dimensional spin chains with long-range interactions that decay with distance. Near unit fidelity can be achieved for alpha values close to 1, with a continuous transition from regions where optimal spatial search exists to regions where it does not. Numerical simulations demonstrate the robustness of spatial search to dephasing noise, suggesting that experimental demonstration of optimal spatial search is feasible with alpha values less than or around 1.2.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Ananyo Maitra
Summary: Bulk active fluids are unstable due to activity destroying long-range ordering. However, a 3D active liquid model shows that stable states can form at fluid-fluid interfaces. While active units cannot break rotation symmetry in bulk fluids, they can form stable active nematic and polar states at interfaces. This surface ordering transition may have functional consequences for active transport.
Article
Physics, Multidisciplinary
Benoit Mahault, Hugues Chate
Summary: Research shows that in two space dimensions, the orientational order emerging from self-propelled polar particles aligning nematically is quasi-long-ranged beyond the scale associated to induced velocity reversals. A hydrodynamic theory for this phase is constructed, showing differences in structure and symmetries from conventional descriptions of active nematics. The presence of pi-symmetric propagative sound modes and estimates of scaling exponents governing long-range space-time correlations are numerically verified.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Applied
Xiangjia Meng, Longxi Chen
Summary: We investigated the initial detection problem of quantum particle transition in a one-dimensional Levy crystal with long-range interactions, described by the spatial fractional Schrodinger equation. Our findings indicate that the long-range interactions can be obtained directly within a short period of time. The average detection times <n> and the corresponding variance var(n) exhibit discontinuities with respect to the detection interval t, which may be attributed to the interplay between the detection frequency 1/t and the oscillation frequency of the first detection probability Fn.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
(2023)
Article
Physics, Fluids & Plasmas
G. Gagliardi, F. Macheda
Summary: In this study, homogeneous nucleation in the two-dimensional q-state Potts model was investigated through Monte Carlo simulations. By adjusting the quench depth, temperature, and number of states, the crossover between short-range and long-range interactions in nucleation properties was analyzed. Spinodal scaling was found to hold for interaction ranges above 8-10, with signs of pseudospinodal visible for interaction ranges as small as 4-5.
Article
Physics, Fluids & Plasmas
Jean-Baptiste Fouvry
Summary: This study examines the irreversible relaxation process of long-range interacting systems, describing it at both 1/N and 1/N2 orders. By deriving a collision operator suitable for long-range systems, the properties of the system and comparisons with theoretical simulations are explored.
Article
Multidisciplinary Sciences
Si-Si Wang, Kangkang Li, Yi-Ming Dai, Hui-Hui Wang, Yi-Cai Zhang, Yan-Yang Zhang
Summary: We study the impact of disorder and shielding on quantum transports in a two-dimensional system with all-to-all long range hopping. We find that in weak disorder, the cooperative shielding leads to the formation of perfect conducting channels similar to those in the short range model. As the disorder increases, the conductance becomes larger and more fluctuating, indicating the breaking of shielding and the contribution of long range hopping. The wavefunctions are not completely localized and exhibit a hybrid feature of localization and delocalization with a fractal dimension smaller than 2.
SCIENTIFIC REPORTS
(2023)
Article
Chemistry, Physical
Weiqi Chu, Xiantao Li
Summary: Long-range interactions are crucial in electron transport but pose challenges for direct computer simulations. A reduced-order approach is proposed by deriving an open quantum model for the reduced density matrix. Dynamics are projected to subspaces using a Petrov-Galerkin projection. A domain decomposition approach is used to compute the Coulomb potential, demonstrating the accuracy of the reduced model.
JOURNAL OF CHEMICAL PHYSICS
(2021)
Article
Physics, Multidisciplinary
O. D. Gurcan
Summary: Two dimensional turbulence in geophysical fluids and plasma physics tends to be spotty, intermittent and rich in large scale structures such as coherent vortices or zonal flows, due to various mechanisms of self organization. Nonlinear solutions that rely on the vanishing of nonlinearity, especially the dipole vortex solution, stand out as key aspects of this structure dominated turbulence state.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Physics, Multidisciplinary
Fabio Mueller, Henrik Christiansen, Wolfhard Janke
Summary: Using Monte Carlo computer simulations, the kinetics of phase separation in the two-dimensional conserved Ising model with power-law decaying long-range interactions, a representative model for many long-range interacting systems, is investigated. A long-standing analytical prediction for the characteristic length is confirmed to be applicable. The simulation relies on a novel algorithm that significantly speeds up simulations for long-range interacting systems.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Marcel Griesemer, Michael Hofacker
Summary: This paragraph discusses the emergence of quantum systems consisting of N distinct particles in R-2 with two-body contact interactions of the TMS type. These systems arise as limits of Schrodinger operators with suitably resealed pair potentials.
ANNALES HENRI POINCARE
(2022)
Article
Physics, Fluids & Plasmas
Henrik Christiansen, Suman Majumder, Wolfhard Janke
Summary: The study focuses on the nonequilibrium dynamics of the nonconserved Ising model with power-law decaying long-range interactions in two spatial dimensions at zero temperature. They found that the growth exponent is independent of the parameter sigma and the fractal dimension only recovers to the value of the nearest-neighbor Ising model in the large interaction region.
