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    "# PyCav Demo Index\n","\n",
"## Animation\n",
"\n",
"\n",
"[Inline Animation Tutorial\n](./Animation/Inline_animation_tutorial.ipynb): How to use Matplotlib Animations and PyCav.display for inline notebook animation\n\n",
"\n",
"\n",
"## Dynamics\n",
"\n",
"\n",
"[Charged Ring\n](./Dynamics/charge_torus.ipynb): Charged particle above a oppositely charged fixed ring.\n\n",
"\n",
"\n",
"[Coupled Points\n](./Dynamics/CoupledPoints.ipynb): Interactive 3D simulation of systems of particles and springs.\n\n",
"\n",
"\n",
"[Simple Pendulum\n](./Dynamics/ia_simple_pendulum.ipynb): Plots the displacement energy and phasor for a simple pendulum.\n\n",
"\n",
"\n",
"[Integration Methods\n](./Dynamics/Integration methods.ipynb): Investigation of different numerical integration techniques and their stability in dynamics simulations.\n\n",
"\n",
"\n",
"[Orbits\n](./Dynamics/OrbitsInteractive.ipynb): Interactive (gravitational) orbit simulation.\n\n",
"\n",
"\n",
"[Potential Flow\n](./Dynamics/PotentialFlow.ipynb): Potential flow of an irrotational perfect fluid.\n\n",
"\n",
"\n",
"## Eigensystems\n",
"\n",
"\n",
"[Harmonic Linear Chain\n](./Eigensystems/LinearChain.ipynb): Solving the eigenvalue problem for masses in a harmonic linear chain.\n\n",
"\n",
"\n",
"## Electromagnetism\n",
"\n",
"\n",
"[Cherenkov Radiation\n](./Electromagnetism/Cherenkov.ipynb): Investigating the radiation produced by a particle moving faster than light in a medium.\n\n",
"\n",
"\n",
"## Fluid Dynamics\n",
"\n",
"\n",
"[Lattice Boltzmann Method\n](./FluidDynamics/LatticeBoltzmann.ipynb): Fluid dynamics simulation using a Lattice Boltzmann Method.\n\n",
"\n",
"\n",
"## Maths\n",
"\n",
"\n",
"[Fourier Series\n](./Maths/Fourier Series.ipynb): Creating a Fourier series for a function with period 2L.\n\n",
"\n",
"\n",
"[Wigner Semicircle\n](./Maths/Wigner Semicircle.ipynb): Investigating the distribution of eigenvalues for real symmetric matrices.\n\n",
"\n",
"\n",
"## Optics\n",
"\n",
"\n",
"[Caustics\n](./Optics/Caustics.ipynb): ...\n\n",
"\n",
"\n",
"[Dispersion\n](./Optics/dispersion.ipynb): ...\n\n",
"\n",
"\n",
"## Quantum Mechanics\n",
"\n",
"\n",
"[Reflectionless Potential (1D)\n](./QuantumMechanics/1D_reflectionless_potential.ipynb): Investigating the reflectionless potential in 1D using the split-step algorithm.\n\n",
"\n",
"\n",
"[Non-Linear Schrödinger Equation\n](./QuantumMechanics/non_linear_SE.ipynb): Solving the 1D time-dependent non-linear Schrödinger equation using the split step method.\n\n",
"\n",
"\n",
"[Schrödinger Equation\n](./QuantumMechanics/split_step_schrodinger.ipynb): Solving the 1D time dependent Schrödinger Equation using the split step method.\n\n",
"\n",
"\n",
"## Statistical Physics\n",
"\n",
"\n",
"[Crystal Growth\n](./StatisticalPhysics/CrystalGrowthVPython.ipynb): Statistical mechanics model of the growth of a crystal.\n\n",
"\n",
"\n",
"[Ising Model\n](./StatisticalPhysics/ising.ipynb): 2D Ising Ferromagnet nearest neighbour interactions.\n\n",
"\n",
"\n",
"[Dynamic Ising Model\n](./StatisticalPhysics/SpinLattice.ipynb): Glauber dynamics of the Ising model.\n\n",
"\n",
"\n",
"## Statistics\n",
"\n",
"\n",
"[Bateman Equation\n](./Statistics/Bateman_Eqn.ipynb): Radioactive decay chains and the Bateman equation.\n\n",
"\n",
"\n",
"## Thermodynamics\n",
"\n",
"\n",
"[Kinetic Theory of Gases\n](./Thermodynamics/KineticGasTheoryPressures.ipynb): Collisional and collisionless gases within a confined volume macroscopic properties e.g. pressure observed.\n\n",
"\n",
"\n",
"[1D Velocity Distributions\n](./Thermodynamics/KineticGasTheorySpeedsAndVelocities.ipynb): Finding the 1D velocity distributions predicted by kinetic gas theory through simulation of hard spheres.\n\n",
"\n",
"\n",
"## Waves and Oscillations\n",
"\n",
"\n",
"[Foldy-Lax Formulation\n](./WavesAndOscillations/FoldyLax.ipynb): Calculating the wavefield around isotropic scatterers using the Foldy-Lax formulation.\n\n",
"\n",
"\n",
"[Waves in the Steady State\n](./WavesAndOscillations/HelmholtzWaves.ipynb): Solving the Helmholtz equation to find the electric field strength in the steady state.\n\n",
"\n",
"\n",
"[Wave Equation\n](./WavesAndOscillations/numerical_wave_equation.ipynb): Numerically solving the wave equation in 1D and 2D.\n\n",
"\n",
"\n",
"[Resonance\n](./WavesAndOscillations/Resonance.ipynb): Simulating resonance for a particle connected to a spring that is fixed to a wall.\n\n",
"\n",
"\n"
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  }
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