Physical Quantities

$ \varepsilon$ ... permittivity
$ \mu$ ... permeability
$ \mu_b$ ... mobility in band $ b$
$ \nu_b$ ... carrier concentration
$ \varrho$ ... space charge density
$ \sigma$ ... conductivity
$ \kappa_b$ ... thermal conductivity
$ \tau_{\mathcal{E} \, b}$ ... energy relaxation time
$ \psi$ ... electrostatic potential
$ \ensuremath{\boldsymbol{\mathrm{A}}}$ ... vector potential
     
$ D_b$ ... diffusion coefficient
$ N_b$ ... density of states
$ N_D^+$ ... concentration of ionized donors
$ N_A^-$ ... concentration of ionized acceptors
$ U_T$ ... temperature voltage
     
$ n$ ... electron concentration
$ p$ ... hole concentration
$ T_b$ ... carrier temperature
$ T_\mathrm{L}$ ... lattice temperature
$ \beta_b$ ... kurtosis
$ s_b$ ... sign of the carrier charge
$ t$ ... simulation time
$ w_b$ ... average energy of the carriers
$ w_0$ ... average energy of the carriers in equilibrium with the lattice
   

$ \ensuremath{\boldsymbol{\mathrm{B}}}$ ... magnetic flux density
$ \ensuremath{\boldsymbol{\mathrm{D}}}$ ... dielectric flux density
$ \ensuremath{\boldsymbol{\mathrm{E}}}$ ... electric field
$ \ensuremath{\boldsymbol{\mathrm{H}}}$ ... magnetic field
$ \ensuremath{\boldsymbol{\mathrm{F}}}_b$ ... particle flux density
$ \ensuremath{\boldsymbol{\mathrm{J}}}_b$ ... current density
$ \ensuremath{\boldsymbol{\mathrm{S}}}_b$ ... energy flux density
$ \ensuremath{\boldsymbol{\mathrm{K}}}_b$ ... kurtosis flux density
     
$ V_\mathrm{G}$ ... gate voltage
$ V_\mathrm{D}$ ... drain voltage
$ V_\mathrm{S}$ ... source voltage
$ I_\mathrm{D}$ ... drain current
     
$ \ensuremath{\boldsymbol{\mathrm{v}}}$ ... group velocity
$ \ensuremath{\boldsymbol{\mathrm{p}}}$ ... momentum
$ \ensuremath{\boldsymbol{\mathrm{k}}}$ ... wave vector
     
$ \tau_m$ ... momentum relaxation time
$ \tau_\mathcal{E}$ ... energy relaxation time
$ \tau_S$ ... energy flux density relaxation time
$ \tau_\beta$ ... kurtosis relaxation time
$ \tau_K$ ... kurtosis flux density relaxation time
     
$ R$ ... net recombination rate
$ G_{\mathcal{E}\, n}$ ... net energy generation rate
$ G_{\beta \, n}$ ... net kurtosis generation rate
$ c_n$ ... rate constant for electron capture
$ e_n$ ... rate constant for electron emission
$ c_p$ ... rate constant for hole capture
$ e_p$ ... rate constant for hole emission
$ \mathcal{E}_\mathrm{C}$ ... conduction band edge energy
$ \mathcal{E}_\mathrm{V}$ ... valence band edge energy
$ \mathcal{E}_\mathrm{F}$ ... quasi FERMI energy level in thermal equilibrium
$ F_n$ ... quasi FERMI energy level for electrons
$ F_p$ ... quasi FERMI energy level for holes
$ \mathcal{E}_t$ ... trap energy level

M. Gritsch: Numerical Modeling of Silicon-on-Insulator MOSFETs PDF