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Recent experiments have implemented resetting by means of a time-varying external harmonic trap whereby the trap stiffness is changed from an initial to a final value in finite-time and then the system is reset when it relaxes to an…

Statistical Mechanics · Physics 2025-07-21 Deepak Gupta , Kristian Stølevik Olsen , Supriya Krishnamurthy

We introduce the Equilibrated Averaging Residual Method (EARM), a unified equilibrated flux-recovery framework for elliptic interface problems that applies to a broad class of finite element discretizations. The method is applicable in both…

Numerical Analysis · Mathematics 2026-01-06 Cuiyu He

We introduce a simple model of yeast-like growth of fungi colonies, which exhibits a continuous roughening transition far from equilibrium from a smooth ($\alpha = 0$) to rough phase ($\alpha = 1/2$) in 1+1 dimensions. At the transition…

Statistical Mechanics · Physics 2009-10-31 Juan M. Lopez , Henrik Jeldtoft Jensen

We study the statistics of thermodynamic quantities in two related systems with quenched disorder: A (1+1)-dimensional planar lattice of elastic lines in a random potential and the 2-dimensional random bond dimer model. The first system is…

Disordered Systems and Neural Networks · Physics 2009-11-10 Simon Bogner , Thorsten Emig , Ahmed Taha , Chen Zeng

The article addresses the mathematical modeling of the folding of a thin elastic sheet along a prescribed curved arc. A rigorous model reduction from a general hyperelastic material description is carried out under appropriate scaling…

Numerical Analysis · Mathematics 2022-02-09 Sören Bartels , Andrea Bonito , Peter Hornung

Recently, a variational approach has been introduced for the paradigmatic Kardar--Parisi--Zhang (KPZ) equation. Here we review that approach, together with the functional Taylor expansion that the KPZ nonequilibrium potential (NEP) admits.…

Statistical Mechanics · Physics 2014-01-27 Horacio S. Wio , Roberto R. Deza , Carlos Escudero , Jorge A. Revelli

In previous work we provided the explicit form of the nonlinear PDEs, subjected to the appropriate boundary conditions, which have to be satisfied by transport coefficients for systems out of Onsager's region. Since the proposed PDEs are…

Plasma Physics · Physics 2022-11-09 Giorgio Sonnino , Philippe Peeters , Pasquale Nardone , Enrique Tirapegui

We analyze within mean-field theory as well as numerically a KPZ equation that describes nonequilibrium wetting. Both complete and critical wettitng transitions were found and characterized in detail. For one-dimensional substrates the…

Statistical Mechanics · Physics 2009-11-10 F. de los Santos , M. M. Telo da Gama , M. A. Munoz

Thermal scaling and relaxation of the interface width in an electrophoretic deposition of polymer chains is examined by a three-dimensional Monte Carlo simulation on a discrete lattice. Variation of the equilibrium interface width $W_r$…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Ras B. Pandey

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased Reptation Monte Carlo for various densities and extrapolate the momentum distribution, and the kinetic and potential energies to…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , Carlo Pierleoni , Jeremy McMinis , David M. Ceperley , Valerio Olevano , Luigi Delle Site

The derivation of determinant representations for the space-, time-, and temperature-dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of a trapping potential is presented. These representations are valid…

Quantum Gases · Physics 2025-08-05 Ovidiu I. Patu

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for…

Disordered Systems and Neural Networks · Physics 2018-07-10 Nikolaos G. Fytas , Victor Martin-Mayor , Marco Picco , Nicolas Sourlas

The two- and three-dimensional transverse-field Ising models with ferromagnetic exchange interactions are analyzed by means of the real-space renormalization group method. The basic strategy is a generalization of a method developed for the…

Statistical Mechanics · Physics 2011-05-04 Ryoji Miyazaki , Hidetoshi Nishimori , Gerardo Ortiz

We propose a simple discrete model to study the nonequilibrium fluctuations of two locally coupled 1+1 dimensional systems (interfaces). Measuring numerically the tilt-dependent velocity we construct a set of stochastic continuum equations…

Condensed Matter · Physics 2009-10-22 Albert-László Barabási

Jet quenching has become a fundamental tool to study the hot QCD matter produced in heavy ion collisions. While important theoretical and experimental advances have been made in the last two decades, the extraction of the medium properties…

High Energy Physics - Phenomenology · Physics 2020-07-30 Xabier Feal

A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empirical eigenfunctions, is presented. The…

Fluid Dynamics · Physics 2011-08-30 Jorge Bailon-Cuba , Joerg Schumacher

We outline a kinetic theory of non-thermal fixed points for the example of a dilute Bose gas, partially reviewing results obtained earlier, thereby extending, complementing, generalizing and straightening them out. We study universal…

Quantum Gases · Physics 2019-05-16 Isara Chantesana , Asier Piñeiro Orioli , Thomas Gasenzer

The dynamical properties of a tracer or impurity particle immersed in a host gas of inelastic and rough hard spheres in the homogeneous cooling state is studied. Specifically, the breakdown of energy equipartition as characterized by the…

Soft Condensed Matter · Physics 2019-10-02 Francisco Vega Reyes , Antonio Lasanta , Andrés Santos , Vicente Garzó

We report a detailed account of the phase diagram of a recently introduced model for non-equilibrium wetting in 1+1 dimensions [Phys. Rev. Lett. 79, 2710 (1997)]. A mean field approximation is shown to reproduce the main features of the…

Statistical Mechanics · Physics 2007-05-23 H. Hinrichsen , R. Livi , D. Mukamel , A. Politi

We continue the analysis started in a recent paper of the large-N two-dimensional CP(N-1) sigma model, defined on a finite space interval L with Dirichlet (or Neumann) boundary conditions. Here we focus our attention on the problem of the…

High Energy Physics - Theory · Physics 2018-01-31 Alessandro Betti , Stefano Bolognesi , Sven Bjarke Gudnason , Kenichi Konishi , Keisuke Ohashi