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This work investigates the out-of-equilibrium dynamics of dipole and higher-moment conserving systems with long-range interactions, drawing inspiration from trapped ion experiments in strongly tilted potentials. We introduce a hierarchical…

Statistical Mechanics · Physics 2023-11-14 Jacopo Gliozzi , Julian May-Mann , Taylor L. Hughes , Giuseppe De Tomasi

We extend an infrared-deformed soft-wall anti de-Sitter/QCD model at zero temperature to a model at finite temperature and perform hydrodynamics. To have the infalling boundary condition to make the hydrodynamic analysis possible, we treat…

High Energy Physics - Phenomenology · Physics 2013-07-25 Shingo Takeuchi , Yue-Liang Wu

We consider a lattice model of active matter with exclusion and derive its hydrodynamic description exactly. The hydrodynamic limit leads to an integro-differential equation for the density of particles with a given orientation. Volume…

Mathematical Physics · Physics 2023-10-31 James Mason , Clement Erignoux , Robert Jack , Maria Bruna

Nonintegrability plays a crucial role in thermalization and transport processes in many-body Hamiltonian systems, yet its quantitative effects remain unclear. To reveal the connection between the macroscopic relaxation properties and the…

Statistical Mechanics · Physics 2023-10-20 Weicheng Fu , Zhen Wang , Yisen Wang , Yong Zhang , Hong Zhao

We analyze the possible phase diagrams of a simple model for an associating liquid proposed previously. Our two-dimensional lattice model combines oreintati onal ice-like interactions and \"{}Van der Waals\"{} interactions which may be…

Soft Condensed Matter · Physics 2009-11-11 Vera B. Henriques , Nara Guisoni , Marco Aurelio Barbosa , Marcelo Thielo , Marcia C. Barbosa

We consider a lattice gas with general short range interactions and a Kac potential $J_\gamma({r})$ of range $\gamma^{-1}$, $\gamma>0$, evolving via particles hopping to nearest neighbor empty sites with rates which satisfy detailed balance…

Statistical Mechanics · Physics 2009-10-31 G. Giacomin , J. L. Lebowitz , R. Marra

We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to the elastic coupling constants of the wave-equation is…

Mathematical Physics · Physics 2008-11-06 Lisa Harris , Jani Lukkarinen , Stefan Teufel , Florian Theil

We consider an infinite lattice system of interacting spins living on a smooth compact manifold, with short- but not necessarily finite-range pairwise interactions. We construct the gradient flow of the infinite-volume free energy on the…

Probability · Mathematics 2025-02-19 Ronan Herry , Thomas Leblé

Among the numerous anomalies of water, the acceleration of dynamics under pressure is particularly puzzling. Whereas the diffusivity anomaly observed in experiments has been reproduced in several computer studies, the parallel viscosity…

We study the coupled dynamics of the displacement fields in a one dimensional coupled-field model for drifting crystals, first proposed by R.Lahiri and S.Ramaswamy [{\em Phys. Rev. Lett.} {\bf 79}, 1150 (1997)]. We present some exact…

Condensed Matter · Physics 2009-11-07 Dibyendu Das , Abhik Basu , Mustansir Barma , Sriram Ramaswamy

Kinetically-constrained models are lattice-gas models that are used for describing glassy systems. By construction, their equilibrium state is trivial and there are no equal-time correlations between the occupancy of different sites. We…

Statistical Mechanics · Physics 2017-03-01 Eial Teomy , Yair Shokef

In this work, we perform a detailed study of heat transport in one dimensional long-ranged anharmonic oscillator systems, such as the long-ranged Fermi-Pasta-Ulam-Tsingou model. For these systems, the long-ranged anharmonic potential decays…

Statistical Mechanics · Physics 2021-12-21 Debarshee Bagchi

We present a coarse-grained lattice model of solvation thermodynamics and the hydrophobic effect that implements the ideas of Lum-Chandler-Weeks (LCW) theory [J. Phys. Chem. B 103, 4570 (1999)] and improves upon previous lattice models…

Soft Condensed Matter · Physics 2014-09-05 Patrick Varilly , Amish J. Patel , David Chandler

Systems comprising a turbulent channel flow overlaying a permeable bed can be found in a variety of industrial and natural applications (e.g. urban planning, fracking, submerged vegetation). One important realization of this system is at…

Fluid Dynamics · Physics 2017-08-01 Benjamin H. Sonin

We use lattice Boltzmann simulations, in conjunction with Ewald summation methods, to investigate the role of hydrodynamic interactions in colloidal suspensions of dipolar particles, such as ferrofluids. Our work addresses volume fractions…

Mesoscale and Nanoscale Physics · Physics 2009-10-20 Eunhye Kim , Kevin Stratford , Philip J. Camp , Michael E. Cates

We consider the relaxation of finite-wavevector density waves in a facilitated classical lattice gas. Linear hydrodynamics predicts that such perturbations should relax exponentially, but nonlinear effects were predicted to cause…

Statistical Mechanics · Physics 2025-08-06 Abhishek Raj , Paolo Glorioso , Sarang Gopalakrishnan , Vadim Oganesyan

Hydrogen bonding is modeled in terms of virtual exchange of protons between water molecules. A simple lattice model is analyzed, using ideas and techniques from the theory of correlated electrons in metals. Reasonable parameters reproduce…

Soft Condensed Matter · Physics 2009-11-11 Daniel W. Hone , P. A. Pincus

A spin-1 Ising model incorporating positional order to a standard lattice gas with no attractive interactions is introduced and found to be consistent with all known attributes of the freezing transition of the hard-sphere system.…

Statistical Mechanics · Physics 2023-04-03 Jacobo Troncoso , Claudio A. Cerdeiriña

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two indistinguishable fluids. The enhancement of the diffusive transport depends on the system size L and grows…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Discontinuous transitions into absorbing states require an effective mechanism that prevents the stabilization of low density states. They can be found in different systems, such as lattice models or stochastic differential equations (e.g.…

Statistical Mechanics · Physics 2015-08-12 Salete Pianegonda , Carlos E. Fiore