index.md

Overview

• JuliaPhysics (a physics organization)

Dealing with physical quantities

• JuliaPhysics:
  • Measurements.jl: Error propagation library
  • PhysicalConstants: Collection of fundamental physical constants, with physical units and uncertainties
• Unitful.jl: Physical quantities with arbitrary units
• NaturallyUnitful.jl: Facilities for using natural units with Unitful.jl

Differential equations

• DifferentialEquations.jl: Julia suite for high-performance solvers of differential equations
• DiffEqPhysics.jl: A library for building differential equations arising from physical problems
• DiffEqOperators.jl: Linear operators for discretizations of differential equations
• ModelingToolkit.jl: A toolkit for modeling and creating DSLs for Scientific Computing in Julia

TODOS here

• Short tutorial with common physics problems

• Overview of DiffEqPhysics and FDM with DiffEq

• how to use ModellingToolkit by @ChrisRackauckas and @HarrisonGrodin if possible...with special reference to constructing systems of diffeq programatically

Dynamical systems analysis

• JuliaDynamics
  • DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics
  • ChaosTools.jl: Tools for the exploration of chaos and nonlinear dynamics
  • DelayEmbeddings.jl: Delay coordinates embedding, Datasets and neighborhoods
• PyDSTool.jl: A wrapper for the PyDSTool library

Astronomy

• JuliaAstro

Quantum mechanics

• JuliaQuantum (few recent updates as of 2019)
  • QuDynamics.jl: A JuliaQuantum package for solving dynamical equations in quantum mechanics.
  • QuCmp.jl: A JuliaQuantum package for simulations of quantum computers.
• Yao.jl: Extensible, Efficient Quantum Algorithm Design for Humans.
• QuantumOptics.jl

Finite element analysis

• JuAFEM.jl
• JuliaFEM.jl
• FENiCS.jl

Solid state

• JuliaAtoms Atomic physics

• libAtoms Materials-modelling + FEM orientated libraries

  • JuLIPMaterials collection of Julia tools for materials science
  • JuLIP library for Interatomic Potentials

• CarrierCapture.jl Semi-classical recombination in semiconductors.

• PolaronMobility.jl - Feynman variational path-integral model for the Fröhlich polaron

Tensors

• ITensors.jl
• TensorOperations.jl
• Einsum.jl
• That new Einsum library for more automatic differentiation?

Plotting

Visualization is one of the most important tools in our toolkit. There are three main plotting packages in Julia:

• Plots.jl: Very intuitive and convenient, Plots.jl is a wrapper around several plotting backends. Plots tries to figure out what you want it to do, not just what you tell it.
• Makie.jl: Built around the idea of fast, interactive plotting utilizing the speed of OpenGL and the GPU (and WebGL now), Makie.jl is a next-generation plotting package which offers superior interactivity and speed.
  It's great for building interactive or animated visualzations with minimal overhead, but the time to first plot is a little slow compared to Plots, and it isn't quite as feature-complete. Written in pure Julia.
• PyPlot.jl: A wrapper around the PyPlot interface to the popular Python plotting library matplotlib.