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Mixing length theory is the predominant treatment of convection in stellar models today. Usually described by a single free parameter, alpha, the common practice is to calibrate it using the properties of the Sun, and apply it to all other…

Solar and Stellar Astrophysics · Physics 2015-06-18 Joel D. Tanner , Sarbani Basu , Pierre Demarque

Based on detailed 2D numerical radiation hydrodynamics (RHD) calculations of time-dependent compressible convection, we have studied the dynamics and thermal structure of the convective surface layers of solar-type stars. The RHD models…

Astrophysics · Physics 2007-05-23 H. -G. Ludwig , B. Freytag , M. Steffen

We perform a calibration of the mixing length of convection in stellar structure models against realistic 3D radiation-coupled hydrodynamics (RHD) simulations of convection in stellar surface layers, determining the adiabat deep in…

Solar and Stellar Astrophysics · Physics 2015-06-23 Regner Trampedach , Robert F. Stein , Jørgen Christensen-Dalsgaard , Åke Nordlund , Martin Asplund

Main sequence, solar-like stars (M < 1.5 Msun) have outer convective envelopes that are sufficiently thick to affect significantly their overall structure. The radii of these stars, in particular, are sensitive to the details of…

Solar and Stellar Astrophysics · Physics 2018-12-26 F. Spada , P. Demarque , S. Basu , J. D. Tanner

The mixing length theory (MLT) used to compute the temperature gradient in superadiabatic layers of stellar (interior and atmosphere) models contains in its standard form 4 free parameters. Three parameters are fixed a priori (and define…

Astrophysics · Physics 2009-11-13 M. Salaris , S. Cassisi

Stellar models generally use simple parametrizations to treat convection. The most widely used parametrization is the so-called "Mixing Length Theory" where the convective eddy sizes are described using a single number, \alpha, the…

Stellar models often use relations between the temperature $T$ and optical depth $\tau$ to evaluate the structure of their optically-thin outer layers. We fit a novel analytic function to the Hopf function $q(\tau)$ of a radiation-coupled…

Solar and Stellar Astrophysics · Physics 2021-01-14 Warrick H. Ball

Stellar evolution codes play a major role in present-day astrophysics, yet they share common simplifications related to the outer layers of stars. We seek to improve on this by the use of results from realistic and highly detailed 3D…

Stellar models typically use the mixing length approximation as a way to implement convection in a simplified manner. While conventionally the value of the mixing length parameter, $\alpha$, used is the solar calibrated value, many studies…

Solar and Stellar Astrophysics · Physics 2018-05-16 Lucas S. Viani , Sarbani Basu , Joel J. M. Ong , Ana Bonaca , William J. Chaplin

Relations between temperature, T, and optical depth, tau, are often used for describing the photospheric transition from optically thick to optically thin in stellar structure models. We show that this is well justified, but also that…

Solar and Stellar Astrophysics · Physics 2015-06-19 Regner Trampedach , Robert F. Stein , Jørgen Christensen-Dalsgaard , Åke Nordlund , Martin Asplund

We present evolutionary models for solar-like stars with an improved treatment of convection that results in a more accurate estimate of the radius and effective temperature. This is achieved by improving the calibration of the…

Solar and Stellar Astrophysics · Physics 2021-04-28 Federico Spada , Pierre Demarque , Friedrich Kupka

The CoRoT and Kepler missions provided a wealth of high-quality data for solar-like oscillations. To make the best of such data for seismic inferences, we need theoretical models with precise near-surface structure, which has significant…

Solar and Stellar Astrophysics · Physics 2019-01-16 T. Sonoi , H. -G. Ludwig , M. -A. Dupret , J. Montalbán , R. Samadi , K. Belkacem , E. Caffau , M. -J. Goupil

We investigate the relation between 1D atmosphere models that rely on the mixing length theory and models based on full 3D radiative hydrodynamic (RHD) calculations to describe convection in the envelopes of late-type stars. The adiabatic…

Solar and Stellar Astrophysics · Physics 2014-12-24 Zazralt Magic , Achim Weiss , Martin Asplund

We present models of alpha Centauri A and B implementing an entropy calibration of the mixing-length parameter alpha_MLT, recently developed and successfully applied to the Sun (Spada et al. 2018, ApJ, 869, 135). In this technique the value…

Solar and Stellar Astrophysics · Physics 2019-09-25 F. Spada , P. Demarque

Stellar models utilising one-dimensional (1D), heuristic theories of convection fail to adequately describe the energy transport in superadiabatic layers. The improper modelling leads to well-known discrepancies between observed and…

Solar and Stellar Astrophysics · Physics 2019-10-23 Andreas Christ Sølvsten Jørgensen , George C. Angelou

The simplistic but ubiquitous Mixing Length Theory (MLT) formalism is used to model convective energy transport within 1D stellar evolution calculations. The formalism relies on the free parameter $\alpha_{\rm MLT}$, which must be…

Solar and Stellar Astrophysics · Physics 2023-08-14 Giulia C Cinquegrana , Meridith Joyce

One of the largest sources of uncertainty in the computation of globular cluster isochrones and hence in the age determination of globular clusters is the lack of a rigorous description of convection. Therefore, we calibrated the…

Astrophysics · Physics 2009-10-31 Bernd Freytag , Maurizio Salaris

Stellar structure calculations are able to predict precisely the properties of stars during their evolution. However, convection is still modelled by the mixing length theory; therefore, the upper boundary conditions near the optical…

Solar and Stellar Astrophysics · Physics 2016-02-03 Zazralt Magic

As a step toward a complete theoretical integration of 3D compressible hydrodynamic simulations into stellar evolution, convection at the surface and sub-surface layers of the Sun is re-examined, from a restricted point of view, in the…

Solar and Stellar Astrophysics · Physics 2014-11-20 W. David Arnett , Casey Meakin , Patrick A. Young

Stellar convection is customarily described by Mixing-Length Theory, which makes use of the mixing-length scale to express the convective flux, velocity, and temperature gradients of the convective elements and stellar medium. The…

Solar and Stellar Astrophysics · Physics 2015-06-19 S. Pasetto , C. Chiosi , M. Cropper , E. K. Grebel
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