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We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We discuss a notion of quantum critical exponents in open quantum many-body systems driven by quantum noise. We show that in translationally invariant quantum lattice models undergoing quasi-local Markovian dissipative processes, mixed…

Quantum Physics · Physics 2010-12-23 J. Eisert , T. Prosen

This paper concerns the global-in-time evolution of a generic compressible two-fluid model in $\mathbb{R}^d$ ($d\geq3$) with the common pressure law. Due to the non-dissipative properties for densities and two different particle paths…

Analysis of PDEs · Mathematics 2025-02-11 Ling-Yun Shou , Jiayan Wu , Lei Yao , Yinghui Zhang

This paper concerns quasi-stochastic approximation (QSA) to solve root finding problems commonly found in applications to optimization and reinforcement learning. The general constant gain algorithm may be expressed as the…

Optimization and Control · Mathematics 2024-04-02 Caio Kalil Lauand , Sean Meyn

The properties of a supersolid state (SS) in quasi-one-dimensional dipolar Bose-Einstein condensate is studied, considering two possible mechanisms of realization - due to repulsive three-body atomic interactions and quantum fluctuations in…

Quantum Gases · Physics 2021-07-23 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno

We develop a quasi-normal mode theory (QNMT) to calculate a system's scattering $S$ matrix, simultaneously satisfying both energy conservation and reciprocity even for a small truncated set of resonances. It is a practical reduced-order…

Applied Physics · Physics 2021-09-28 Mohammed Benzaouia , John D. Joannopoulos , Steven G. Johnson , Aristeidis Karalis

In the paper, we discuss the studies of mathematical models of diffusion scattering of waves in the phase space, and relation of these models with quantum mechanics. In the previous works it is shown that in these models of classical…

Mathematical Physics · Physics 2016-03-22 E. M. Beniaminov

Converting neutron scattering data to real-space time-dependent structures can only be achieved through suitable models, which is particularly challenging for geometrically disordered structures. We address this problem by introducing…

Chemical Physics · Physics 2021-07-28 Cedric J. Gommes , Reiner Zorn , Sebastian Jaksch , Henrich Frielinghaus , Olaf Holderer

The quasigeostrophic model is a simplified geophysical fluid model at asymptotically high rotation rate or at small Rossby number. We consider the quasigeostrophic equation with dissipation under random forcing in bounded domains. We show…

Dynamical Systems · Mathematics 2007-05-23 James R. Brannan , Jinqiao Duan , Thomas Wanner

Mechanical dissipation poses an ubiquitous challenge to the performance of nanomechanical devices. Here we analyze the support-induced dissipation of high-stress nanomechanical resonators. We develop a model for this loss mechanism and test…

Mesoscale and Nanoscale Physics · Physics 2011-03-28 I. Wilson-Rae , R. A. Barton , S. S. Verbridge , D. R. Southworth , B. Ilic , H. G. Craighead , J. M. Parpia

The author's modified Coulomb damping model has been generalized to accommodate internal friction that derives from several dissipation mechanisms acting simultaneously. Because of its fundamental nonlinear nature, internal friction damping…

Classical Physics · Physics 2007-05-23 Randall D. Peters

In scattering experiments, the dynamical structure factor (DSF) characterizes inter-particle correlations and their time evolution. We analytically evaluated the DSF of disordered solids with disorder in the spring constant, by averaging…

Disordered Systems and Neural Networks · Physics 2021-05-21 Bingyu Cui , Alessio Zaccone , Eugene Terentjev

Teaching by direct models in science has been weakening the learning process of the students, because the real problems in engineering are not solved by direct models instead commonly they are solved by inverse models. On the other hand,…

Physics Education · Physics 2019-08-09 K. L. Cristiano , D. A. Triana , R. Ortiz , A. F. Estupiñán

In this paper, a reconstruction method for the spatially distributed dielectric constant of a medium from the back scattering wave field in the frequency domain is considered. Our approach is to propose a globally convergent algorithm,…

Analysis of PDEs · Mathematics 2016-03-01 Michael V. Klibanov , Loc H. Nguyen , Anders Sullivan , Lam Nguyen

The solution is given to the classical problem of an oscillator driven by a sinusoid of steadily-varying frequency. A closed analytical expression is obtained in the case where the Q-factor of the oscillator is high, equivalent to the…

Instrumentation and Detectors · Physics 2019-10-25 Brian Cowan , Andrew Morris-Costigliola , George Nichols

This paper constitutes a sequel to our theoretical efforts to determine the nature of generic low-energy deformations of the Fermi surface of a quantum-critical metal, which arises at the stable non-Fermi liquid (NFL) fixed point of a…

Strongly Correlated Electrons · Physics 2026-03-18 Kazi Ranjibul Islam , Aditya Savanur , Ipsita Mandal

We present Q-Transform Amplitude Modulation (QTAM), a novel, fully invertible implementation of the Constant-Q Transform algorithm, designed to enable robust signal denoising and the disentanglement of overlapping transient events in…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Lorenzo Asprea , Francesco Sarandrea , Alessio Romano , Jacob Lange , Federica Legger , Sara Vallero

We present a novel study on enhancing the capability of preserving the content in world models, focusing on a property we term World Stability. Recent diffusion-based generative models have advanced the synthesis of immersive and realistic…

Machine Learning · Computer Science 2025-03-12 Soonwoo Kwon , Jin-Young Kim , Hyojun Go , Kyungjune Baek

This paper continues our study of quasicrystals initiated in Part I. We propose a general mechanism for constructing quasicrystals, existing globally in time, in spatially-extended systems (partial differential equations with Euclidean…

Dynamical Systems · Mathematics 2025-01-31 Ian Melbourne , Jens Rademacher , Bob Rink , Sergey Zelik

We present and discuss a master equation blueprint for a generic class of quantum measurement feedback based models of friction. A desired velocity-dependent friction force is realized on average by random repeated applications of unsharp…

Quantum Physics · Physics 2023-04-13 Michael Gaida , Stefan Nimmrichter