From e26c7a7abafdde30e67e9c1db9bef5cd2f7a5220 Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Fri, 1 May 2026 17:52:18 +0200 Subject: [PATCH 1/7] Added Gupta+24 efficiency --- src/mach_models/Gupta24.jl | 79 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 79 insertions(+) create mode 100644 src/mach_models/Gupta24.jl diff --git a/src/mach_models/Gupta24.jl b/src/mach_models/Gupta24.jl new file mode 100644 index 0000000..57984a4 --- /dev/null +++ b/src/mach_models/Gupta24.jl @@ -0,0 +1,79 @@ +""" + Gupta24_p(X_cr::T=1.0, η_max::T=0.03) where T + +Efficiency model for protons by Gupta, Caprioli & Sptikovsky (2024) + +## Values +- `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. +- `η_max`: Maximum efficiency defined in the model +""" +struct Gupta24_p{T} <: AbstractShockAccelerationEfficiency + X_cr::T + η_max::T + + Gupta24_p(X_cr::T = 1.0, η_max::T = 0.1) where {T} = new{T}(X_cr, η_max) +end + +""" + η_Ms_acc(η_model::Gupta24_p, M::Real) + +Initial acceleration efficiency model for protons by Gupta, Caprioli & Sptikovsky (2024) +""" +function η_Ms_acc(η_model::Gupta24_p, M::Real) + if M < 2.0 + return 0 + else + return η_model.η_max + end +end + +""" + η_Ms_reacc(η_model::Gupta24_p, M::Real) + +Reacceleration efficiency for model by Kang (2024), identical to acceleration efficiency. +""" +function η_Ms_reacc(η_model::Gupta24_p, M::Real) + η_Ms_acc(η_model, M) +end + + + +""" + Gupta24_e(X_cr::T=1.0, η_max::T=0.0004871685) where T + +Efficiency model for electrons by Gupta, Caprioli & Sptikovsky (2024) + +## Values +- `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. +- `η_max`: Maximum efficiency defined in the model +""" +struct Gupta24_e{T} <: AbstractShockAccelerationEfficiency + X_cr::T + η_max::T + + Gupta24_e(X_cr::T = 1.0, η_max::T = 0.06) where {T} = new{T}(X_cr, η_max) +end + + +""" + η_Ms_acc(η_model::Gupta24_e, M::Real) + +Initial acceleration efficiency model for electrons by Gupta, Caprioli & Sptikovsky (2024) +""" +function η_Ms_acc(η_model::Gupta24_e, M::Real) + if M < 2.0 + return 0 + else + p = [19.301588195907662, -0.6544505664085758, 30053.623240151297, -2.420544376432326, 0.0024391157810159103] + return p[1] * M^p[2] / (1 + p[3] * M^p[4]) + p[5] + end +end + +""" + η_Ms_reacc(η_model::Gupta24_e, M::Real) + +Reacceleration efficiency for model by Kang (2024), identical to acceleration efficiency. +""" +function η_Ms_reacc(η_model::Gupta24_e, M::Real) + η_Ms_acc(η_model, M) +end From 7ab34bc7f018faf14a8fd54a11c7da96148fdd89 Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Sat, 16 May 2026 16:03:46 +0200 Subject: [PATCH 2/7] rewrite theta efficiency model for multiple dispatch --- src/B_models/gupta.jl | 51 +++++++++++++++++++++++++ src/B_models/pais.jl | 33 +++++++++++----- src/DiffusiveShockAccelerationModels.jl | 24 +++++++++--- 3 files changed, 93 insertions(+), 15 deletions(-) create mode 100644 src/B_models/gupta.jl diff --git a/src/B_models/gupta.jl b/src/B_models/gupta.jl new file mode 100644 index 0000000..110a513 --- /dev/null +++ b/src/B_models/gupta.jl @@ -0,0 +1,51 @@ +""" + Gupta24_t(X_cr::T=0.05) where T + +Efficiency model by Gupta24_t, Caprioli & Spitkovsky 2024: MNRAS, 478, 4, 5278–5295, https://arxiv.org/pdf/1805.00128.pdf + +## Values +- `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. +""" +struct Gupta24_t{T} <: AbstractShockAccelerationEfficiency + X_cr::T + Gupta24_t(X_cr::T = 0.05) where {T} = new{T}(X_cr) +end + +""" + η_B(η_model::Gupta24_t, θ_B::Real, θ_crit::Real) + +Calculate B angle dependent efficiency component following Pais et. al. 2018, eq. 7, https://arxiv.org/pdf/1805.00128.pdf +""" +@inline function η_B(η_model::Gupta24_t, θ_B::Real, θ_crit::Real) + (tanh((θ_crit - θ_B) / π / 18) + 1) / 2 +end + +""" + ηB_acc_p(η_model::Gupta24_t, θ_B::Real) + +Magnetic field geometry dependent efficiency for protons at initial acceleration. +""" +function ηB_acc_p(η_model::Gupta24_t, θ_B::Real) + η_B(η_model, θ_B, π / 3.5) +end + +""" + ηB_reacc_p(η_model::Gupta24_t, θ_B::Real) + +Magnetic field geometry dependent efficiency for protons at reacceleration. +""" +ηB_reacc_p(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) + +""" + ηB_acc_e(η_model::Gupta24_t, θ_B::Real) + +Magnetic field geometry dependent efficiency for electrons at initial acceleration. +""" +ηB_acc_e(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) + +""" + ηB_reacc_e(η_model::Gupta24_t, θ_B::Real) + +Magnetic field geometry dependent efficiency for electrons at reacceleration. +""" +ηB_reacc_e(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) \ No newline at end of file diff --git a/src/B_models/pais.jl b/src/B_models/pais.jl index c044b9e..29c6596 100644 --- a/src/B_models/pais.jl +++ b/src/B_models/pais.jl @@ -3,12 +3,27 @@ const π_third = π / 3 const π_fourth = π / 4 const π_sixth = π / 6 + +""" + Pais2018_t(X_cr::T=0.05) where T + +Efficiency model by Pais et al. 2018: MNRAS, 478, 4, 5278–5295, https://arxiv.org/pdf/1805.00128.pdf + +## Values +- `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. +""" +struct Pais2018_t{T} <: AbstractShockAccelerationEfficiency + X_cr::T + Pais2018_t(X_cr::T = 0.05) where {T} = new{T}(X_cr) +end + + """ η_B(θ_B::Real, θ_crit::Real) Calculate B angle dependent efficiency component following Pais et. al. 2018, eq. 7, https://arxiv.org/pdf/1805.00128.pdf """ -@inline function η_B(θ_B::Real, θ_crit::Real) +@inline function η_B(η_model::Pais2018_t, θ_B::Real, θ_crit::Real) (tanh((θ_crit - θ_B) / δθ) + 1) / 2 end @@ -17,8 +32,8 @@ end Magnetic field geometry dependent efficiency for protons at initial acceleration. """ -function ηB_acc_p(θ_B::Real) - η_B(θ_B, π_fourth) +function ηB_acc_p(η_model::Pais2018_t, θ_B::Real) + η_B(η_model, θ_B, π_fourth) end """ @@ -26,8 +41,8 @@ end Magnetic field geometry dependent efficiency for protons at reacceleration. """ -function ηB_reacc_p(θ_B::Real) - η_B(θ_B, π_third) +function ηB_reacc_p(η_model::Pais2018_t, θ_B::Real) + η_B(η_model, θ_B, π_third) end """ @@ -35,8 +50,8 @@ end Magnetic field geometry dependent efficiency for electrons at initial acceleration. """ -function ηB_acc_e(θ_B::Real) - 1 - η_B(θ_B, π_fourth) +function ηB_acc_e(η_model::Pais2018_t, θ_B::Real) + 1 - η_B(η_model, θ_B, π_fourth) end """ @@ -44,6 +59,6 @@ end Magnetic field geometry dependent efficiency for electrons at reacceleration. """ -function ηB_reacc_e(θ_B::Real) - 1 - η_B(θ_B, π_sixth) +function ηB_reacc_e(η_model::Pais2018_t, θ_B::Real) + 1 - η_B(η_model, θ_B, π_sixth) end \ No newline at end of file diff --git a/src/DiffusiveShockAccelerationModels.jl b/src/DiffusiveShockAccelerationModels.jl index ba720b0..1da8eac 100644 --- a/src/DiffusiveShockAccelerationModels.jl +++ b/src/DiffusiveShockAccelerationModels.jl @@ -5,6 +5,8 @@ export AbstractShockAccelerationEfficiency, # efficiency models Kang07, KR13, CS14, Ryu19, P16, Kang24_p, Kang24_e, + Gupta24_p, Gupta24_e, + Gupta24_t, Pais2018_t, # mach nummber dependent efficiency η_Ms, η_Ms_acc, η_Ms_reacc, # B-field dependent efficiency @@ -75,22 +77,29 @@ function η_Ms(η_model::AbstractShockAccelerationEfficiency, M::T, X_cr::T) whe end - include("mach_models/Kang07.jl") include("mach_models/KR13.jl") include("mach_models/CS14.jl") include("mach_models/Ryu19.jl") include("mach_models/Pfrommer16.jl") include("mach_models/Kang24.jl") +include("mach_models/Gupta24.jl") include("B_models/pais.jl") +include("B_models/gupta.jl") + +ηB_acc_p(θ_B::Real) = ηB_acc_p(Pais2018_t(), θ_B) +ηB_acc_e(θ_B::Real) = ηB_acc_e(Pais2018_t(), θ_B) +ηB_reacc_p(θ_B::Real) = ηB_reacc_p(Pais2018_t(), θ_B) +ηB_reacc_e(θ_B::Real) = ηB_reacc_e(Pais2018_t(), θ_B) using PrecompileTools # this is a small dependency @setup_workload begin # Putting some things in `setup` can reduce the size of the # precompile file and potentially make loading faster. - η_models = [Kang07(), KR13(), CS14(), Ryu19(), Kang24_p(), Kang24_e()] + η_models = [Kang07(), KR13(), CS14(), Ryu19(), Kang24_p(), Kang24_e(), Gupta24_p(), Gupta24_e()] + B_models = [Pais2018_t(), Gupta24()] @compile_workload begin # all calls in this block will be precompiled, regardless of whether @@ -109,10 +118,13 @@ using PrecompileTools # this is a small dependency end end - ηB_acc_p(1.0) - ηB_reacc_p(1.0) - ηB_acc_e(1.0) - ηB_reacc_e(1.0) + # loop over models + for η ∈ B_models + ηB_acc_p(η, 1.0) + ηB_reacc_p(η, 1.0) + ηB_acc_e(η, 1.0) + ηB_reacc_e(η, 1.0) + end end end From 1c5a703aaef93f8e78cdbc2a2f633fa83805760f Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Sat, 16 May 2026 16:04:11 +0200 Subject: [PATCH 3/7] Gupta+24 acceleration model --- src/B_models/gupta.jl | 28 ++++++++++++------------- src/DiffusiveShockAccelerationModels.jl | 2 +- src/mach_models/Gupta24.jl | 4 ++-- 3 files changed, 17 insertions(+), 17 deletions(-) diff --git a/src/B_models/gupta.jl b/src/B_models/gupta.jl index 110a513..db7b525 100644 --- a/src/B_models/gupta.jl +++ b/src/B_models/gupta.jl @@ -1,51 +1,51 @@ """ - Gupta24_t(X_cr::T=0.05) where T + Gupta2024_t(X_cr::T=0.05) where T -Efficiency model by Gupta24_t, Caprioli & Spitkovsky 2024: MNRAS, 478, 4, 5278–5295, https://arxiv.org/pdf/1805.00128.pdf +Efficiency model by Gupta2024_t, Caprioli & Spitkovsky 2024: MNRAS, 478, 4, 5278–5295, https://arxiv.org/pdf/1805.00128.pdf ## Values - `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. """ -struct Gupta24_t{T} <: AbstractShockAccelerationEfficiency +struct Gupta2024_t{T} <: AbstractShockAccelerationEfficiency X_cr::T - Gupta24_t(X_cr::T = 0.05) where {T} = new{T}(X_cr) + Gupta2024_t(X_cr::T = 0.05) where {T} = new{T}(X_cr) end """ - η_B(η_model::Gupta24_t, θ_B::Real, θ_crit::Real) + η_B(η_model::Gupta2024_t, θ_B::Real, θ_crit::Real) Calculate B angle dependent efficiency component following Pais et. al. 2018, eq. 7, https://arxiv.org/pdf/1805.00128.pdf """ -@inline function η_B(η_model::Gupta24_t, θ_B::Real, θ_crit::Real) +@inline function η_B(η_model::Gupta2024_t, θ_B::Real, θ_crit::Real) (tanh((θ_crit - θ_B) / π / 18) + 1) / 2 end """ - ηB_acc_p(η_model::Gupta24_t, θ_B::Real) + ηB_acc_p(η_model::Gupta2024_t, θ_B::Real) Magnetic field geometry dependent efficiency for protons at initial acceleration. """ -function ηB_acc_p(η_model::Gupta24_t, θ_B::Real) +function ηB_acc_p(η_model::Gupta2024_t, θ_B::Real) η_B(η_model, θ_B, π / 3.5) end """ - ηB_reacc_p(η_model::Gupta24_t, θ_B::Real) + ηB_reacc_p(η_model::Gupta2024_t, θ_B::Real) Magnetic field geometry dependent efficiency for protons at reacceleration. """ -ηB_reacc_p(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) +ηB_reacc_p(η_model::Gupta2024_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) """ - ηB_acc_e(η_model::Gupta24_t, θ_B::Real) + ηB_acc_e(η_model::Gupta2024_t, θ_B::Real) Magnetic field geometry dependent efficiency for electrons at initial acceleration. """ -ηB_acc_e(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) +ηB_acc_e(η_model::Gupta2024_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) """ - ηB_reacc_e(η_model::Gupta24_t, θ_B::Real) + ηB_reacc_e(η_model::Gupta2024_t, θ_B::Real) Magnetic field geometry dependent efficiency for electrons at reacceleration. """ -ηB_reacc_e(η_model::Gupta24_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) \ No newline at end of file +ηB_reacc_e(η_model::Gupta2024_t, θ_B::Real) = ηB_acc_p(η_model, θ_B) \ No newline at end of file diff --git a/src/DiffusiveShockAccelerationModels.jl b/src/DiffusiveShockAccelerationModels.jl index 1da8eac..a31b334 100644 --- a/src/DiffusiveShockAccelerationModels.jl +++ b/src/DiffusiveShockAccelerationModels.jl @@ -99,7 +99,7 @@ using PrecompileTools # this is a small dependency # Putting some things in `setup` can reduce the size of the # precompile file and potentially make loading faster. η_models = [Kang07(), KR13(), CS14(), Ryu19(), Kang24_p(), Kang24_e(), Gupta24_p(), Gupta24_e()] - B_models = [Pais2018_t(), Gupta24()] + B_models = [Pais2018_t(), Gupta2024_t()] @compile_workload begin # all calls in this block will be precompiled, regardless of whether diff --git a/src/mach_models/Gupta24.jl b/src/mach_models/Gupta24.jl index 57984a4..91344e4 100644 --- a/src/mach_models/Gupta24.jl +++ b/src/mach_models/Gupta24.jl @@ -51,7 +51,7 @@ struct Gupta24_e{T} <: AbstractShockAccelerationEfficiency X_cr::T η_max::T - Gupta24_e(X_cr::T = 1.0, η_max::T = 0.06) where {T} = new{T}(X_cr, η_max) + Gupta24_e(X_cr::T = 1.0, η_max::T = 0.05) where {T} = new{T}(X_cr, η_max) end @@ -65,7 +65,7 @@ function η_Ms_acc(η_model::Gupta24_e, M::Real) return 0 else p = [19.301588195907662, -0.6544505664085758, 30053.623240151297, -2.420544376432326, 0.0024391157810159103] - return p[1] * M^p[2] / (1 + p[3] * M^p[4]) + p[5] + return (p[1] * M^p[2] / (1 + p[3] * M^p[4]) + p[5]) * 0.25 end end From 65476b3b64a67a40bda9f32e6d597d4bf74c7b03 Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Sat, 16 May 2026 16:04:22 +0200 Subject: [PATCH 4/7] updated version number --- Project.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Project.toml b/Project.toml index c9577fb..a401b74 100644 --- a/Project.toml +++ b/Project.toml @@ -1,7 +1,7 @@ name = "DiffusiveShockAccelerationModels" uuid = "66fc4661-a670-4cc2-b407-bfd81989e880" authors = ["Ludwig Böss"] -version = "0.1.2" +version = "0.2.0" [deps] PrecompileTools = "aea7be01-6a6a-4083-8856-8a6e6704d82a" From ec70a766a6dd7fe15dbb3ec63f5015c23030db2e Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Thu, 16 Jul 2026 18:09:33 +0200 Subject: [PATCH 5/7] bugfix in export --- src/DiffusiveShockAccelerationModels.jl | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/DiffusiveShockAccelerationModels.jl b/src/DiffusiveShockAccelerationModels.jl index a31b334..c9eeddb 100644 --- a/src/DiffusiveShockAccelerationModels.jl +++ b/src/DiffusiveShockAccelerationModels.jl @@ -6,7 +6,7 @@ export AbstractShockAccelerationEfficiency, Kang07, KR13, CS14, Ryu19, P16, Kang24_p, Kang24_e, Gupta24_p, Gupta24_e, - Gupta24_t, Pais2018_t, + Gupta2024_t, Pais2018_t, # mach nummber dependent efficiency η_Ms, η_Ms_acc, η_Ms_reacc, # B-field dependent efficiency From 4a23c78fcde4b1f4b1a785000bcafb6009e2ae62 Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Thu, 16 Jul 2026 18:20:56 +0200 Subject: [PATCH 6/7] updated docs --- docs/src/index.md | 26 ++++++++++++---- src/DiffusiveShockAccelerationModels.jl | 4 +-- src/mach_models/Gupta24.jl | 40 ------------------------- 3 files changed, 22 insertions(+), 48 deletions(-) diff --git a/docs/src/index.md b/docs/src/index.md index e1345e4..f7070e3 100644 --- a/docs/src/index.md +++ b/docs/src/index.md @@ -54,6 +54,13 @@ Kang24_e ![Kang 2024 DSA model](Kang2024.png) +Version `v0.2` included the model by [Gupta et al. (2025)](https://arxiv.org/pdf/1805.00128.pdf) + +```@docs +Gupta24_e +``` + + You can also use the constant efficiency used by [Pfrommer et al. (2017)](https://ui.adsabs.harvard.edu/abs/2017MNRAS.465.4500P/abstract): ```@docs @@ -97,7 +104,13 @@ kr_fitting_function Another parameter in the acceleration efficiency is the shock obliquity. Here we used the results from [Pais et al. (2019)](http://arxiv.org/abs/1907.04300) who fit a functional form to the data by [Caprioli&Spitkovsky (2014)](https://ui.adsabs.harvard.edu/abs/2014ApJ...783...91C/abstract). ```@docs -η_B +Pais2018_t +``` + +Or for electrons we supply the model by Gupta et al. (2024). + +```@docs +Gupta2024_t ``` ## Ions @@ -114,7 +127,7 @@ Ions are found to be accelerated primarily at quasi-parallel shocks. We provide ## Electrons -Electrons are found to be accelerated primarily at quasi-perpendicular shocks. We provide two helper functions for this. +Electron acceleration can be modeled via ```@docs ηB_acc_e @@ -131,13 +144,14 @@ To use for example the mach number dependent model by [Kang & Ryu (2013)](https: ```julia using DiffusiveShockAccelerationModels -ηM_model = KR13() # Mach number dependent model -Mach = 5.0 # we assume a Mach 5 shock -θ_B = 0.1π # angle between shock normal and magnetic field vector +ηM_model = KR13() # Mach number dependent model +ηM_model = Pais2018_t() # Obliquity dependent model +Mach = 5.0 # we assume a Mach 5 shock +θ_B = 0.1π # angle between shock normal and magnetic field vector X_cr = 0.0 # X_cr = P_cr / P_th -> in this case no pre-existing CRs # magnetic field angle dependent acc. efficiency -ηB = ηB_acc_p(θ_B) +ηB = ηB_acc_p(ηB_model, θ_B) # Mach number dependent acc. efficiency ηM = η_Ms(ηM_model, Mach, X_cr) diff --git a/src/DiffusiveShockAccelerationModels.jl b/src/DiffusiveShockAccelerationModels.jl index c9eeddb..9f57b79 100644 --- a/src/DiffusiveShockAccelerationModels.jl +++ b/src/DiffusiveShockAccelerationModels.jl @@ -5,7 +5,7 @@ export AbstractShockAccelerationEfficiency, # efficiency models Kang07, KR13, CS14, Ryu19, P16, Kang24_p, Kang24_e, - Gupta24_p, Gupta24_e, + Gupta24_e, Gupta2024_t, Pais2018_t, # mach nummber dependent efficiency η_Ms, η_Ms_acc, η_Ms_reacc, @@ -98,7 +98,7 @@ using PrecompileTools # this is a small dependency @setup_workload begin # Putting some things in `setup` can reduce the size of the # precompile file and potentially make loading faster. - η_models = [Kang07(), KR13(), CS14(), Ryu19(), Kang24_p(), Kang24_e(), Gupta24_p(), Gupta24_e()] + η_models = [Kang07(), KR13(), CS14(), Ryu19(), Kang24_p(), Kang24_e(), Gupta24_e()] B_models = [Pais2018_t(), Gupta2024_t()] @compile_workload begin diff --git a/src/mach_models/Gupta24.jl b/src/mach_models/Gupta24.jl index 91344e4..f6c35a6 100644 --- a/src/mach_models/Gupta24.jl +++ b/src/mach_models/Gupta24.jl @@ -1,43 +1,3 @@ -""" - Gupta24_p(X_cr::T=1.0, η_max::T=0.03) where T - -Efficiency model for protons by Gupta, Caprioli & Sptikovsky (2024) - -## Values -- `X_cr`: P_cr / P_th defined in model for re-acceleration. Basis for interpolation between acceleration and re-acceleration efficiency. -- `η_max`: Maximum efficiency defined in the model -""" -struct Gupta24_p{T} <: AbstractShockAccelerationEfficiency - X_cr::T - η_max::T - - Gupta24_p(X_cr::T = 1.0, η_max::T = 0.1) where {T} = new{T}(X_cr, η_max) -end - -""" - η_Ms_acc(η_model::Gupta24_p, M::Real) - -Initial acceleration efficiency model for protons by Gupta, Caprioli & Sptikovsky (2024) -""" -function η_Ms_acc(η_model::Gupta24_p, M::Real) - if M < 2.0 - return 0 - else - return η_model.η_max - end -end - -""" - η_Ms_reacc(η_model::Gupta24_p, M::Real) - -Reacceleration efficiency for model by Kang (2024), identical to acceleration efficiency. -""" -function η_Ms_reacc(η_model::Gupta24_p, M::Real) - η_Ms_acc(η_model, M) -end - - - """ Gupta24_e(X_cr::T=1.0, η_max::T=0.0004871685) where T From f6bc5e88a41bdcbc514ae105d3e416c8ce712ff0 Mon Sep 17 00:00:00 2001 From: LudwigBoess Date: Thu, 16 Jul 2026 18:24:47 +0200 Subject: [PATCH 7/7] docs fix --- docs/src/index.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/docs/src/index.md b/docs/src/index.md index f7070e3..0de8972 100644 --- a/docs/src/index.md +++ b/docs/src/index.md @@ -101,7 +101,13 @@ kr_fitting_function # Magnetic field angle dependent efficiency models -Another parameter in the acceleration efficiency is the shock obliquity. Here we used the results from [Pais et al. (2019)](http://arxiv.org/abs/1907.04300) who fit a functional form to the data by [Caprioli&Spitkovsky (2014)](https://ui.adsabs.harvard.edu/abs/2014ApJ...783...91C/abstract). +Another parameter in the acceleration efficiency is the shock obliquity. + +```@docs +η_B +``` + +Here we provide the results from [Pais et al. (2019)](http://arxiv.org/abs/1907.04300) who fit a functional form to the data by [Caprioli&Spitkovsky (2014)](https://ui.adsabs.harvard.edu/abs/2014ApJ...783...91C/abstract). ```@docs Pais2018_t