FTS Glossary
===================

If you don't understand what a symbol means elsewhere in the documentation, hopefully it will be defined here.

* :math:`V` - cell volume
* :math:`d` - dimentionality of system
* :math:`P` - number of different molecule types
* :math:`n = \sum_{p=1}^P n_p` - total number of molecules
* :math:`n_p = \frac{C \tilde{V} \bar{\phi}_p}{\alpha_p}` - number of copies of `p` th molecule type
* :math:`N_p` - degree of polymerization of  `p` th molecule type
* :math:`N` - reference degree of polymerization
* :math:`\tilde{V} = V/R_g^d` - scaled cell volume .
* :math:`\alpha_p = N_p / N` - scaled length of `p` th molecule type
* :math:`\phi_p (\bm{r}) = \rho_p / \rho_0` - spatially dependent volume fraction of `p` th molecule type
* :math:`\bar{\phi}_p = \frac{n_p N_p}{\sum_{i=1}^P n_i N_i}` - overall volume fraction of `p` th molecule type
* :math:`C = \frac{\rho_0 R_g^d}{N}` - dimentionless chain concentration, where `d` is dimensionality of system
* :math:`\rho_0 = \sum_{p=1}^P \frac{n_p N_p}{V}` - overall monomer number density
* :math:`v_0 = 1/\rho_0` -  reference volume, average volume per monomer
* :math:`w_i` - species or exchange field. Typically if `i` is a letter than :math:`w_i` is a species field, while if `i` is a number or :math:`\pm` then :math:`w_i` is an exchange field.
* :math:`\mu_i = \gamma_i w_i N` - rescaled (and possibly Wick rotated) exchange field
* :math:`\gamma_i = {1,\sqrt{-1}}` - depending on whether the field is Wick rotated
* :math:`R_g = \sqrt{\frac{b^2N}{6}}`,  the radius of gyration of reference polymer chain consisting of `N+1` beads
* :math:`B =\beta u_0 N^2 / R_g^d`,  the dimensionless excluded volume, where `d` is dimensionality of system.
* :math:`E = 4 \pi l_B \sigma^2 N^2 / R_g`,  the dimensionless electrostatic interaction strength
* :math:`\varphi`,  fluctuating electrostatic potential field
* :math:`a_i`, smearing length of species i
* :math:`\tilde{a}_i`, smearing length of species i in units of :math:`R_g`. :math:`\tilde{a}_i = a_i / R_g`