README update

README.md

@@ -2,33 +2,35 @@
  [![License](https://img.shields.io/github/license/HajimeKawahara/exojax)](https://github.com/HajimeKawahara/exojax/blob/develop/LICENSE)
  [![Docs](https://img.shields.io/badge/docs-exojax-brightgreen)](http://secondearths.sakura.ne.jp/exojax/)
  [![arxiv](https://img.shields.io/badge/arxiv-2105.14782-blue)](http://arxiv.org/abs/2105.14782)
+ [![arxiv](https://img.shields.io/badge/arxiv-2410.06900-blue)](https://arxiv.org/abs/2410.06900)
  [![paper](https://img.shields.io/badge/paper-ApJS_258_31_(2022)-orange)](https://iopscience.iop.org/article/10.3847/1538-4365/ac3b4d) 
  <a href="https://codeclimate.com/github/HajimeKawahara/exojax/maintainability"><img src="https://api.codeclimate.com/v1/badges/97c5e8835f3ef9c4ad7c/maintainability" /></a>
 
-Differentiable spectral modelling of exoplanets/brown dwarfs/M dwarfs using JAX!
-Read [the docs](http://secondearths.sakura.ne.jp/exojax/develop) 🐕. 
+Differentiable spectral modelling of exoplanets/brown dwarfs/M dwarfs using [JAX](https://github.com/jax-ml/jax)!
+Read [the docs](http://secondearths.sakura.ne.jp/exojax) 🐕. 
 In short, ExoJAX allows you to do gradient based optimizations, HMC-NUTS, and SVI using the latest database.
 
 ExoJAX is at least compatible with
 
 - PPLs: [NumPyro](https://github.com/pyro-ppl/numpyro), [blackjax](https://github.com/blackjax-devs/blackjax), [bayeux](https://github.com/jax-ml/bayeux) 
-- Optimizers: [JAXopt](https://github.com/google/jaxopt), [optax](https://github.com/google-deepmind/optax)
+- Optimizers: [Optax](https://github.com/google-deepmind/optax), [JAXopt](https://github.com/google/jaxopt)
 
 <img src="https://github.com/user-attachments/assets/70d4291b-f818-4204-ab96-b3bd6c99c48f" Titie="exojax" Width=850px>
 
 <details><summary>ExoJAX Classes</summary>
 
 - Databases: *db (mdb: molecular, adb: atomic, cdb:continuum, pdb: particulates)
-- Opacity Calculators: opa  (Voigt profile, CIA, Mie, Rayleigh scattering etc)
-- Atmospheric Radiative Transfer: art (emission w, w/o scattering, refelction, transmission)
-- Spectral Operator: sop (planet rotation, instrumental boradening)
-- Atompsheric Microphysics: amp (clouds etc)
+- Opacity Calculators: opa  (Voigt profile, CIA, Mie/Rayleigh scattering etc)
+- Atmospheric Radiative Transfer: art (emission w, w/o scattering, reflection, transmission)
+- Spectral Operator: sop (planet rotation, instrumental broadening)
+- Atmospheric Microphysics: amp (clouds etc)
+- GPU-memory efficient Layer-by-layer opacity and transfer computations: opart
 
 </details>
 
 ## Get Started 
 
-See [this page](http://secondearths.sakura.ne.jp/exojax/develop/tutorials/get_started.html) for the first step!
+See [this page](http://secondearths.sakura.ne.jp/exojax/tutorials/get_started.html) for the first step!
 
 ## Real Examples (external)
 
@@ -37,13 +39,14 @@ See [this page](http://secondearths.sakura.ne.jp/exojax/develop/tutorials/get_st
 
 
 ## References
-[![paper](https://img.shields.io/badge/paper_I-ApJS_258_31_(2022)-orange)](https://iopscience.iop.org/article/10.3847/1538-4365/ac3b4d) 
-
+[![paper I](https://img.shields.io/badge/paper_I-ApJS_258_31_(2022)-orange)](https://iopscience.iop.org/article/10.3847/1538-4365/ac3b4d) 
+[![paper II](https://img.shields.io/badge/arxiv-2410.06900-blue)](https://arxiv.org/abs/2410.06900)
+
 - Paper I: Kawahara, Kawashima, Masuda, Crossfield, Pannier, van den Bekerom, [ApJS 258, 31 (2022)](https://iopscience.iop.org/article/10.3847/1538-4365/ac3b4d)
-- Paper II: in prep
+- Paper II: Kawahara, Kawashima, Tada et al. [AAS under review](https://arxiv.org/abs/2410.06900) 
 
 
 
 ## License
 
-🐈 Copyright 2020-2024 ExoJAX contributors. ExoJAX is publicly available under the MIT license.
+🐈 Copyright 2020-2025 ExoJAX contributors. ExoJAX is publicly available under the MIT license.