"LAMMPS WWW Site"_lws - "LAMMPS Documentation"_ld - "LAMMPS Commands"_lc :c :link(lws,http://lammps.sandia.gov) :link(ld,Manual.html) :link(lc,Section_commands.html#comm) :line compute ti command :h3 [Syntax:] compute ID group ti keyword args ... :pre ID, group-ID are documented in "compute"_compute.html command :ulb,l ti = style name of this compute command :l one or more attribute/arg pairs may be appended :l keyword = pair style (lj/cut, gauss, born, etc) or {tail} or {kspace} :l pair style args = atype v_name1 v_name2 atype = atom type (see asterisk form below) v_name1 = variable with name1 that is energy scale factor and function of lambda v_name2 = variable with name2 that is derivative of v_name1 with respect to lambda {tail} args = atype v_name1 v_name2 atype = atom type (see asterisk form below) v_name1 = variable with name1 that is energy tail correction scale factor and function of lambda v_name2 = variable with name2 that is derivative of v_name1 with respect to lambda {kspace} args = atype v_name1 v_name2 atype = atom type (see asterisk form below) v_name1 = variable with name1 that is K-Space scale factor and function of lambda v_name2 = variable with name2 that is derivative of v_name1 with respect to lambda :pre :ule [Examples:] compute 1 all ti lj/cut 1 v_lj v_dlj coul/long 2 v_c v_dc kspace 1 v_ks v_dks compute 1 all ti lj/cut 1*3 v_lj v_dlj coul/long * v_c v_dc kspace * v_ks v_dks :pre [Description:] Define a computation that calculates the derivative of the interaction potential with respect to {lambda}, the coupling parameter used in a thermodynamic integration. This derivative can be used to infer a free energy difference resulting from an alchemical simulation, as described in "Eike"_#Eike. Typically this compute will be used in conjunction with the "fix adapt"_fix_adapt.html command which can perform alchemical transformations by adusting the strength of an interaction potential as a simulation runs, as defined by one or more "pair_style"_pair_style.html or "kspace_style"_kspace_style.html commands. This scaling is done via a prefactor on the energy, forces, virial calculated by the pair or K-Space style. The prefactor is often a function of a {lambda} parameter which may be adjusted from 0 to 1 (or vice versa) over the course of a "run"_run.html. The time-dependent adjustment is what the "fix adapt"_fix_adapt.html command does. Assume that the unscaled energy of a pair_style or kspace_style is given by U. Then the scaled energy is Us = f(lambda) U :pre where f() is some function of lambda. What this compute calculates is dUs / d(lambda) = U df(lambda)/dlambda = Us / f(lambda) df(lambda)/dlambda :pre which is the derivative of the system's scaled potential energy Us with respect to {lambda}. To perform this calculation, you provide one or more atom types as {atype}. {Atype} can be specified in one of two ways. An explicit numeric values can be used, as in the 1st example above. Or a wildcard asterisk can be used in place of or in conjunction with the {atype} argument to select multiple atom types. This takes the form "*" or "*n" or "n*" or "m*n". If N = the number of atom types, then an asterisk with no numeric values means all types from 1 to N. A leading asterisk means all types from 1 to n (inclusive). A trailing asterisk means all types from n to N (inclusive). A middle asterisk means all types from m to n (inclusive). You also specify two functions, as "equal-style variables"_variable.html. The first is specified as {v_name1}, where {name1} is the name of the variable, and is f(lambda) in the notation above. The second is specified as {v_name2}, where {name2} is the name of the variable, and is df(lambda) / dlambda in the notation above. I.e. it is the analytic derivative of f() with respect to lambda. Note that the {name1} variable is also typically given as an argument to the "fix adapt"_fix_adapt.html command. An alchemical simulation may use several pair potentials together, invoked via the "pair_style hybrid or hybrid/overlay"_pair_hybrid.html command. The total dUs/dlambda for the overall system is calculated as the sum of each contributing term as listed by the keywords in the compute ti command. Individual pair potentials can be listed, which will be sub-styles in the hybrid case. You can also include a K-space term via the {kspace} keyword. You can also include a pairwise long-range tail correction to the energy via the {tail} keyword. For each term you can specify a different (or the same) scale factor by the two variables that you list. Again, these will typically correspond toe the scale factors applied to these various potentials and the K-Space contribution via the "fix_adapt"_fix_adapt.html command. More details about the exact functional forms for the computation of du/dl can be found in the paper by "Eike"_#Eike. :line [Output info:] This compute calculates a global scalar, namely dUs/dlambda. This value can be used by any command that uses a global scalar value from a compute as input. See "Section_howto 15"_Section_howto.html#howto_15 for an overview of LAMMPS output options. The scalar value calculated by this compute is "extensive". The scalar value will be in energy "units"_units.html. [Restrictions:] This compute is part of the MISC package. It is only enabled if LAMMPS was built with that package. See the "Making LAMMPS"_Section_start.html#start_3 section for more info. [Related commands:] "fix adapt"_fix_adapt.html [Default:] none :line :link(Eike) [(Eike)] Eike and Maginn, Journal of Chemical Physics, 124, 164503 (2006).