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We derive new approximations for quintessence solutions that are simpler and an order of magnitude more accurate than anything available in the literature, which from an observational perspective \emph{makes numerical calculations…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Artur Alho , Claes Uggla

This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity is taken into account by means of periodic…

Materials Science · Physics 2017-01-13 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi

An efficient compositional framework is developed for simulation of CO2 storage in saline aquifers during a full-cycle injection, migration and post-migration processes. Essential trapping mechanisms, including structural, dissolution, and…

Fluid Dynamics · Physics 2023-01-20 Yuhang Wang , Ziliang Zhang , Cornelis Vuik , Hadi Hajibeygi

We study coarsening phenomena in three different simple exclusion processes with quenched disordered jump rates. In the case of the totally asymmetric process, an earlier phenomenological description is improved, yielding for the time…

Disordered Systems and Neural Networks · Physics 2015-06-05 R. Juhász , G. Ódor

Kernel-based methods have been recently introduced for linear system identification as an alternative to parametric prediction error methods. Adopting the Bayesian perspective, the impulse response is modeled as a non-stationary Gaussian…

Optimization and Control · Mathematics 2017-03-16 Mattia Zorzi , Alessandro Chiuso

Computing the marginal likelihood (also called the Bayesian model evidence) is an important task in Bayesian model selection, providing a principled quantitative way to compare models. The learned harmonic mean estimator solves the…

Methodology · Statistics 2024-01-22 Alicja Polanska , Matthew A. Price , Alessio Spurio Mancini , Jason D. McEwen

The use of low-rank approximation filters in the field of NMR is increasing due to their flexibility and effectiveness. Despite their ability to reduce the Mean Square Error between the processed signal and the true signal is well known,…

Data Analysis, Statistics and Probability · Physics 2023-10-05 R. Francischello , M. F. Santarelli , A. Flori , L. Menichetti , M. Geppi

Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnetic field H_Q that is conjugate to the spin-glass order Q,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Burcu Yücesoy , A. Nihat Berker

Random heteropolymers are a minimal description of biopolymers and can provide a theoretical framework to the investigate the formation of loops in biophysical experiments. A two--state model provides a consistent and robust way to study…

Quantitative Methods · Quantitative Biology 2016-09-28 Y. Zhan , L. Giorgetti , G. Tiana

Hysteresis is a highly nonlinear phenomenon, showing up in a wide variety of science and engineering problems. The identification of hysteretic systems from input-output data is a challenging task. Recent work on black-box polynomial…

Systems and Control · Computer Science 2018-03-14 Alireza Fakhrizadeh Esfahani , Philippe Dreesen , Koen Tiels , Jean-Philippe Noël , Johan Schoukens

Compressed sensing posits that, within limits, one can undersample a sparse signal and yet reconstruct it accurately. Knowing the precise limits to such undersampling is important both for theory and practice. We present a formula that…

Information Theory · Computer Science 2013-01-09 David Donoho , Iain Johnstone , Andrea Montanari

We study the energy landscape of the soft-spin random field model in the mean-field limit and compute analytically the quenched complexity of the metastable states as a function of their magnetization and energy at a given external magnetic…

Disordered Systems and Neural Networks · Physics 2015-05-13 M. L. Rosinberg , T. Munakata

We investigate the spinless Anderson-Holstein model routinely employed to describe the basic physics of phonon-assisted tunneling in molecular devices. Our focus is on small to intermediate electron-phonon coupling; we complement a recent…

Strongly Correlated Electrons · Physics 2017-11-30 A. Khedri , T. A. Costi , V. Meden

The effect of the anisotropy in the exchange interaction and film thickness on the hysteresis behavior of the anisotropic Heisenberg thin film has been investigated with effective field formulation in a two spin cluster using the decoupling…

Statistical Mechanics · Physics 2016-08-24 Ümit Akıncı , Musa Atlıhan

In studying the avalanches and noise in a model of hysteresis loops we have developed two relatively straightforward algorithms which have allowed us to study large systems efficiently. Our model is the random-field Ising model at zero…

Disordered Systems and Neural Networks · Physics 2017-06-06 Matthew C. Kuntz , Olga Perkovic , Karin A. Dahmen , Bruce W. Roberts , James P. Sethna

It is shown that the ``hysteresis'' in a polaron model of electron transport through the molecule found by M.Galperin et al. [Nano Lett. 5, 125 (2005)] is an artefact of their ``mean-field'' approximation. The reason is trivial: after…

Materials Science · Physics 2007-05-23 A. S. Alexandrov , A. M. Bratkovsky

The thinning method for numerical generation of the nonhomogeneous Poisson process (NHPP) arrival times has been adapted to accelerate Monte Carlo simulations of the kinetic Ising models (KIMs) with the Glauber spin-flip dynamics. The…

Statistical Mechanics · Physics 2025-06-02 V. I. Tokar , H. Dreyssé

The entrainment between weakly-coupled nonlinear oscillators, as well as between complex signals such as those representing physiological activity, is frequently assessed in terms of whether a stable relationship is detectable between the…

Neurons and Cognition · Quantitative Biology 2019-02-27 Ludovico Minati , Natsue Yoshimura , Mattia Frasca , Stanislaw Drozdz , Yasuharu Koike

Modern high-resolution microscopes, such as the scanning tunneling microscope, are commonly used to study specimens that have dense and aperiodic spatial structure. Extracting meaningful information from images obtained from such…

Computational Physics · Physics 2018-08-28 Sky C. Cheung , John Y. Shin , Yenson Lau , Zhengyu Chen , Ju Sun , Yuqian Zhang , John N. Wright , Abhay N. Pasupathy

Simulated Moving Bed (SMB) chromatography is a well-known technique for the resolution of several high-value-added compounds. Parameters identification and model topology definition are arduous when one is dealing with complex systems such…