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Phase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time integrators for a broad class of phase-field models involving coupling between the phase-field…

Numerical Analysis · Mathematics 2026-03-02 Marco Seiz , Tomohiro Takaki

In most star formation history (SFH) measurements, the reported uncertainties are those due to effects whose sizes can be readily measured: Poisson noise, adopted distance and extinction, and binning choices in the solution itself. However,…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 Andrew E. Dolphin

The temporal decay of mass accretion in young stars is a fundamental tracer of the early evolution of circumstellar disks. Through population syntheses, we study how correlated uncertainties between the estimated parameters of young stars…

Solar and Stellar Astrophysics · Physics 2015-06-18 Nicola Da Rio , Rob D. Jeffries , Carlo F. Manara , Massimo Robberto

The study of pattern-forming instabilities in reaction-diffusion systems on growing or otherwise time-dependent domains arises in a variety of settings, including applications in developmental biology, spatial ecology, and experimental…

Pattern Formation and Solitons · Physics 2022-07-11 Robert A. Van Gorder , Václav Klika , Andrew L. Krause

Real data are constrained to finite sampling rates, which calls for a suitable mathematical description of the corrections to the finite-time estimations of the dynamic equations. Often in the literature, lower order discrete time…

Data Analysis, Statistics and Probability · Physics 2015-05-13 C. Anteneodo , R. Riera

With the increasing use of ultrashort laser pulses and nanoscale-materials, one is regularly confronted to situations in which the properties of the media supporting propagation are not varying slowly with time (or space). Hence, the usual…

Other Condensed Matter · Physics 2009-11-10 Guillaume Petite , Alexander Shvartsburg

We analyse the behaviour of thin composite plates whose material properties vary periodically in-plane and possess a high degree of contrast between the individual components. Starting from the equations of three-dimensional linear…

Analysis of PDEs · Mathematics 2022-05-03 Marin Bužančić , Kirill Cherednichenko , Igor Velčić , Josip Žubrinić

The main objective of the present work is to ckeck if the star formation efficiency plays a relevant role in the evolution of the relative abundance N/O. We analyze the evolution of the nitrogen-to-oxygen ratio as predicted by a set of…

Astrophysics · Physics 2016-08-15 M. Mollá , J. M. Vílchez , M. Gavilán , A. I. Díaz

Gene expression time delays, modelling the complex biological processes of gene transcription and translation, have been shown to play an important role in cellular dynamics. Time delays, motivated by the gene expression process, can also…

Cell Behavior · Quantitative Biology 2022-02-24 Alec Sargood

(abridged) Context: Both observations and simulations of embedded protostars have progressed rapidly in recent years. Bringing them together is an important step in advancing our knowledge about the earliest phases of star formation. Aims:…

Solar and Stellar Astrophysics · Physics 2016-02-17 Søren Frimann , Jes K. Jørgensen , Troels Haugbølle

We give a non-technical introduction to convergence-divergence models, a new modeling approach for phylogenetic data that allows for the usual divergence of species post speciation but also allows for species to converge, i.e. become more…

Populations and Evolution · Quantitative Biology 2017-09-15 Jonathan D. Mitchell , Jeremy G. Sumner , Barbara R. Holland

Performance evolution of a number of complex scientific and technical systems demonstrate exponential progress with time exp(+t/C) . The speed of progress C - a measure of difficulty and complexity - is analyzed for high energy elementary…

Physics and Society · Physics 2011-05-05 Vladimir Shiltsev

Data from experiments and theoretical arguments are the two pillars sustaining the job of modelling physical systems through inference. In order to solve the inference problem, the data should satisfy certain conditions that depend also…

Statistical Mechanics · Physics 2023-03-01 Dario Lucente , Andrea Baldassarri , Andrea Puglisi , Angelo Vulpiani , Massimiliano Viale

The time evolution of complex systems usually can be described through stochastic processes. These processes are measured at finite resolution, what necessarily reduces them to finite sequences of real numbers. In order to relate these data…

Condensed Matter · Physics 2007-05-23 D. M. Tavares , L. S. Lucena

The minimal supersymmetric extension of the standard model allows for some of the coupling strengths to be complex parameters. The presence of such imaginary phases can lead to violations of time reversal invariance, which can be tested if…

High Energy Physics - Phenomenology · Physics 2009-10-22 E. Christova , M. Fabbrichesi

The distribution of chemical abundances and their variation in time are important tools to understand the chemical evolution of galaxies: in particular, the study of chemical evolution models can improve our understanding of the basic…

Astrophysics of Galaxies · Physics 2015-05-18 Monica M. Marcon-Uchida , Francesca Matteucci , Roberto D. D. Costa

We develop analytic approximations to the density evolution of prestellar cores, based on the results of hydrodynamical simulations. We use these approximations as input for a time-dependent gas-grain chemical code to investigate the…

Astrophysics of Galaxies · Physics 2018-07-25 F. D. Priestley , S. Viti , D. A. Williams

In this paper we emphasize the close connection between the chemical and spectrophotometric evolution of stellar systems: Chemical yields from stars correspond to a precise fraction of their emitted light. We translate this concept…

Astrophysics · Physics 2009-11-07 Paola Marigo , Leo Girardi

Determinations of the \he3 concentrations in Galactic matter serve to impose interesting and important constraints both on cosmological models and on models of Galactic chemical evolution. At present, observations of \he3 in the solar…

Astrophysics · Physics 2009-09-15 Sean T. Scully , Michel Casse , Keith A. Olive , D. N. Schramm , J. Truran , E. Vangioni-Flam

The fundamental properties of stellar clusters, such as the age or the total initial mass in stars, are often inferred from population synthesis models. The predicted properties are then used to constrain the physical mechanisms involved in…

Astrophysics · Physics 2013-07-02 M. Cervino , D. Valls-Gabaud