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`I am still a bit confused\. Many papers used Bjerrum length=3\.0 Sigma`

when doing coarse-grained simulations, does this mean that the dielectric

constant should be set as 1/3 when the unit is lj?

This is not so simple. As you must know the Bjerrum length is simply

defined as the distance between two elementary charges where the

thermal energy compensate the Coulomb interaction energy. In lammps

the Coulomb interaction energy is defined as

(LAMMPS Molecular Dynamics Simulator):

E = C q_i q_j / (dielectric r), with q_i = q_j = 1

where the C constant depends on the units

(LAMMPS Molecular Dynamics Simulator).

E is equal to the thermal energy kB T when r = lB = C / (dielectric kB T).

So you should set dielectric to C/(lB kB T). Therefore it will depend

on the temperature of your system and the units. In LJ units C = 1 so

you end up with dielectric = 1/(lB* T*).

Best,

Laurent