<p>Hello everyone,</p>
<p>I am currently learning how to perform slow-growth simulations in CP2K to obtain free-energy profiles. I followed the exercise <em>“NaCl Free Energy Dissociation”</em> from the CP2K website (<a href="https://www.cp2k.org/exercises:2015_ethz_mmm:nacl_free_energy">exercises:2015_ethz_mmm:nacl_free_energy</a>), which uses PMF to compute the free-energy surface.</p>
<p>Based on that, I tried to reproduce a similar NaCl dissociation process using the following constraint setup:</p>
<div><div><div><div></div></div></div><div dir="ltr"><p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">&CONSTRAINT</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
&COLLECTIVE</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
COLVAR 1</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
INTERMOLECULAR</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
TARGET [angstrom] 2.4</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
TARGET_GROWTH [angstrom*fs^-1] 1E-4</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
TARGET_LIMIT [angstrom] 6.0</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
&END COLLECTIVE</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
&LAGRANGE_MULTIPLIERS</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
COMMON_ITERATION_LEVELS 1</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2">
&END</font></span></p>
<p><span lang="EN-US" style="line-height: 115%; font-family: "Times New Roman", serif;"><font size="2"> &END CONSTRAINT</font></span></p></div></div>
<p>This means that the Na–Cl distance is slowly increased from 2.4 Å to 6.0 Å at a rate of 1E–4 Å/fs.<br />
The simulation itself runs smoothly, but the results are somewhat puzzling.</p>
<p>As shown in the figure below, as the distance increases, the recorded constraint force gradually approaches a small negative value close to zero, instead of approaching zero from either side. Because of this, when I integrate the force to obtain the free-energy profile, the resulting free energy continues to increase in the long-distance region rather than converging to a plateau — which does not seem physically reasonable for a dissociating ion pair.</p><p><img alt="shake_smooth1.png" width="535px" height="334px" src="cid:3ff0dcf1-92d9-44b4-a937-c3cfa56df458" /><br /></p>
<p><img alt="shake_integral.png" width="535px" height="334px" src="cid:5584736a-9beb-44ff-a25c-9250cc6410e0" /><br /></p><p>For reference, my system contains 1 Na⁺, 1 Cl⁻, and 63 H₂O molecules, exactly the same as in the CP2K exercise mentioned above. My full input files are attached below.</p>
<p>I would greatly appreciate any suggestions or insights into why the constraint force at large separations does not decay to zero, and how to correctly obtain a converged free-energy profile.</p>
<p>Thank you very much!</p>
<p></p>
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