Notations, Acronyms, and Units

General Notations

Symbols Designates (units) surface area () total Helmholtz energy () or Helmholtz energy per mole or per molecule () , , , , , asymptotic critical amplitudes of weak susceptibility, spontaneous order parameter, strong susceptibility, ordering field, correlation length, and surface tension, respectively and van der Waals constants () and () , , , , coefficients of the Landau expansion in the meanfield theory of phase transitions monomer random step (vector) second virial coefficient () mobility of a Brownian particle () molar concentration (); also, speed of light () gradient-term coefficient in the Landau-Ginzburg functional third virial coefficient () isobaric molar or molecular heat capacity () isochoric molar or molecular heat capacity () spatial correlation function temporal correlation function mutual diffusion coefficient in a binary solution () thermal diffusion coefficient () number of dimensions (dimensionality) of space total energy () kinetic energy () potential energy () force (vector) () total Gibbs energy () or Gibbs energy per mole or per molecule () free-fall acceleration () total enthalpy () or enthalpy per mole or per molecule magnetic field (vector) () generalized field variable reduced (by ) Planck's constant mutual diffusion flux () heat flux () Krichevskii? parameter generalized Krichevskii? parameter reaction equilibrium constant Boltzmann's constant per molecule () baro-diffusion ratio thermo-diffusion ratio length () magnetization (vector) () molecular weight () mass () number of moles number of moles for species number of molecules Avogadro's number ( molecules per mole) number of molecules for species degree of polymerization refractive index Ginzburg number pressure (; ; ) probability heat components of a tensor order parameter wave number (vector) gas constant radius of gyration hydrodynamic radius of a Brownian particle distance average intermolecular distance molecular radius total entropy or entropy per mole or per molecule temperature time total Internal energy or internal energy per mole or per molecule velocity (speed) thermodynamic speed of sound total volume (or ) volume per mole or per molecule work probability density mole or molecular fraction of solute in a binary mixture mole or molecular fraction of species effective "activity" of species vertical coordinate molecular coordination number dynamic critical exponent

Greek Notations

isobaric or volumetric expansivity Joule-Thompson coefficient () sound attenuation () , , , , , , critical exponents of weak susceptibility, spontaneous order parameter, strong susceptibility, ordering field, correlation length, surface tension, and correlation function, respectively Onsager's molar transport coefficient Onsager's cross transport coefficient Onsager's heat transport coefficient activity coefficient of species Reaction kinetic coefficient Tolman's length dielectric constant energy of intermolecular interactions () bulk viscosity interfacial thickness ; also, extent of reaction dynamic shear viscosity scattering angle Theta (Flory) temperature thermal conductivity () isothermal compressibility osmotic compressibility wavelength ; also, a coupling constant sound wavelength () chemical potential of a pure substance , equal to the Gibbs energy per molecule in a single-component system chemical potential along phase coexistence chemical potential in zero-field ( for fluids for ) chemical potential of species exchange chemical potential correlation length of order-parameter fluctuations de Gennes correlation length of polymer-chain fluctuations osmotic pressure or molecular or molar density partial molar density (molar concentration) of species density of Helmholtz energy density of entropy surface tension ;) relaxation time volume of a molecule volume fraction of species volume fraction of polymers in a polymer solution order parameter; generalized density ... spontaneous order parameter (in zero ordering field)