Glossary

vlasov boltzmann kinetic transport equation

pic-mcc plasma modeling, eedf energy distribution, ccp icp plasma kinetic transport, boltzmann transport pde, plasma sheath collision kinetics

navier stokes plasma fluid dynamics

magnetohydrodynamics mhd reactor, compressible gas transport icp ccp, fluid continuum plasma modeling, reflux neutral flow dynamic pde

differential geometry curvature metric tensor

riemannian lattice strain kinetics, strain tensor christoffel symbols, heterostructure dislocation geometry, continuum mechanics elasticity pde

fokker planck stochastic advection diffusion

langevin dynamics ion implant, defect cluster kinetic monte carlo, drift diffusion probability density pde, transient enhanced diffusion kinetics

reaction diffusion front propagation chemical wave CMP

fisher kpp nonlinear chemical kinetics, chemical mechanical planarization slurry transport, autocatalytic chemical wave front velocity, wafer pad slurry interface reaction boundary

lie algebra point group crystallographic symmetry tensor

neumann principle elastic tensor transformation, piezoelectric compliance tensor strain engineering, group representation theory semiconductor crystal, sylow subgroup crystallographic point symmetry

magneto optical kerr effect MOKE Faraday rotation ellipsometry

dielectric permeability tensor magnetic field bias, polar longitudinal transverse kerr effect geometry, complex faraday rotation angle ellipticity, magnetic thin film domain metrology spintronics

majorana fermion topological quantum computing kitaev chain

majorana zero mode operator clifford algebra anticommutation, kitaev 1d p wave superconductor Hamiltonian topological phase, non abelian anyon braiding fusion rules quantum gate

high tc superconductivity bcs theory cooper pair Eliashberg equation

bardeen cooper schrieffer bcs ground state gap equation, cooper pair phonon mediated electron electron attraction, eliashberg strong coupling superconducting transition temperature Tc

photonic topological insulators floquet topological insulator chiral edge states SSH model

non hermitian physics exceptional points parity time symmetry PT symmetry gain loss optical microcavities

quantum cascade laser QCL intersubband transitions optical gain quantum well band structure engineering

bcs superconductivity eliashberg theory gap equation Phonon mediated pairing energy gap

spintronics spin orbit torque magnetic domain wall LLGS DMI skyrmion racetrack

quantum computing topological qubits fibonacci anyons non abelian braiding fusion rules

algebraic variables linear equations cartesian coordinate system slope intercept exponent rules

photoelectric effect de Broglie wavelength wave particle duality Planck constant Bohr model atomic spectra

finfet gaafet nanosheet short channel effects drain induced barrier lowering dibl quantum confinement gate oxide

epitaxial crystal growth atomic layer deposition ALD chemical vapor deposition CVD strained silicon bandgap engineering defects

topological qubit majorana zero mode semiconductor nanowire Rashba spin orbit coupling non Abelian anyon braiding

ordinary differential equations ODE partial differential equations PDE numerical modeling etch CVD PVD kinetics finite difference

automatic control theory feedback PID controller state space model transfer function stability Bode plot plasma pressure RF power

etch kinetics surface chemistry adsorption ion sputtering aspect ratio dependent etch ARDE profile modeling

statistical mechanics Boltzmann transport equation Monte Carlo carrier scattering drift diffusion Fermi Dirac

computational fluid dynamics CFD vacuum system gas flow mass flow controller MFC Knudsen diffusion chamber pressure

lithography resist exposure kinetics Dill parameters Mack model post exposure bake PEB acid diffusion dissolution rate

semiconductor physics energy band structure Kronig Penney model Bloch theorem effective mass E k diagram fundamental

partial differential equations PDE wave equation heat diffusion separation of variables Fourier series numerical PDE solver mathematics

crystallography bravais lattice reciprocal lattice space group X ray diffraction XRD structure factor chemistry physics

superconductivity BCS theory Cooper pair Josephson junction DC SQUID flux quantization superconducting physics

thermodynamics statistical mechanics canonical partition function Fermi Dirac Bose Einstein statistics Maxwell relations Ising model physics

machine learning loss functions stochastic gradient descent Adam optimizer SVM max margin kernel trick RBF Hilbert space computer science

cryptography modular arithmetic RSA encryption Diffie Hellman key exchange elliptic curve cryptography ECC AES block cipher computer science

materials science crystal structure atomic bonding phase diagrams Fick diffusion Hall Petch strengthening fracture mechanics fatigue creep materials engineering

ecology population dynamics Lotka Volterra competition predator prey models food webs biodiversity conservation biology environmental science

structural engineering stress strain Euler buckling beam bending moment shear forces lateral load systems foundation engineering civil engineering

neuroscience Hodgkin Huxley model action potential Nernst Planck equation neurotransmitters synaptic plasticity neural circuits neuroscience

epidemiology disease transmission SIR model R0 basic reproduction number outbreak response public health biostatistics

human geography urbanization demography migration gravity model spatial analysis economic development social science

cognitive psychology memory working memory signal detection theory reinforcement learning decision making Rescorla Wagner model psychology

renewable energy solar photovoltaics wind turbine power Betz limit energy storage grid integration electrical engineering energy science

transportation engineering traffic flow theory Greenshields model signal timing Safe System approach urban mobility civil engineering

communication studies media theory Shannon Weaver model public discourse agenda setting digital media communication science

management science strategic management organizational design theory of constraints agency theory operational efficiency business management

demography population growth total fertility rate TFR life table demographic transition model population projection demography

marketing market segmentation customer lifetime value CLV price elasticity choice modelling AB testing business marketing

topology compactness connectedness fundamental group Heine Borel theorem Tychonoff theorem Van Kampen theorem algebraic topology pure mathematics

virology pathogen immunity vaccine design Baltimore classification antibody affinity maturation mRNA vaccines SIR model microbiology

stochastic processes Markov chains transition matrix stationary distribution Brownian motion Wiener process martingales optional stopping probability theory

geotechnical engineering soil mechanics effective stress Terzaghi consolidation Mohr Coulomb failure criterion bearing capacity slope stability civil engineering