Increasing Temperature Amplitude with CSVR Thermostat

I am recreating the amorphous carbon creation phases from this paper (see Fig. 1). As I plot the temperature over time for each phase on a semi-log plot, I’m running into an issue where the amplitude of the temperature fluctuations increase over time in the third phase during equilibrium. I am following the same parameters outlined in the paper – using the csvr thermostat fix and the same temperature, time, damping, etc. as listed. I am using the Tersoff potential since it is readily available with OpenKIM.

Here is my input script for the third (annealing) phase:

#Third stage of creation of a-C: annealing – Tersoff

#Define potential
kim_init Tersoff_LAMMPS_Tersoff_1988_C__MO_579868029681_003 metal

boundary p p p

#read in (temp, position) data from second step file
read_data data.a-carbon-tersoff-step2

kim_interactions C

#Variables
variable tstep_anneal equal 0.0002 # ps
variable time_anneal equal 400 # ps
variable temp_anneal equal 5000 # K
variable temp_damp equal 0.1 # ps (CSVR thermostat relaxation constant)
variable nsteps_anneal equal {time_anneal}/{tstep_anneal}

#set nve fix
fix 1 all nve

#Annealing
fix 7 all temp/csvr {temp_anneal} {temp_anneal} ${temp_damp} 10

#generate curve with instantaneous temperature
variable temp equal temp
fix 8 all ave/time 1 1 1 v_temp ave one file ac_temp_step3.curve

#set frequency of output
thermo 100

#output configuration
dump mycrystal all atom 100 ac_step3.dump

run ${nsteps_anneal}

#write out final status of simulation
write_data data.a-carbon-tersoff-step3


Here is the plot generated from ac_temp_step3.curve:

I expect to see constant fluctuations over time, so I’m not sure what is causing this growth behavior. I also looked at the ‘econserve’ variable as I expected this to be constant using this csvr fix, but this variable increased linearly over time. Any thoughts are appreciated.

The increasing ‘econserve’ suggest that your simulation is not conserving energy properly.
That is often an indication that your timestep is too large, but could also hint at an issue with the use/implementation of the specific potential.

Thus I suggest to run the simulation without a thermostat after initial equilibration and observe energy conservation in relation to the size of the timestep. Also, you may want to try with the “native” tersoff pair style and see if the dependency of the energy conservation on the length of the time step is the same or different. There are multiple tersoff potentials for carbon bundled with LAMMPS that can be used for this purpose.