id sid tid token lemma pos tt44pk05z9k 1 1 in in ADP tt44pk05z9k 1 2 this this DET tt44pk05z9k 1 3 thesis thesis NOUN tt44pk05z9k 1 4 , , PUNCT tt44pk05z9k 1 5 a a DET tt44pk05z9k 1 6 new new ADJ tt44pk05z9k 1 7 method method NOUN tt44pk05z9k 1 8 that that PRON tt44pk05z9k 1 9 constructs construct VERB tt44pk05z9k 1 10 the the DET tt44pk05z9k 1 11 free free ADJ tt44pk05z9k 1 12 energy energy NOUN tt44pk05z9k 1 13 profile profile NOUN tt44pk05z9k 1 14 of of ADP tt44pk05z9k 1 15 systems system NOUN tt44pk05z9k 1 16 in in ADP tt44pk05z9k 1 17 equilibrium equilibrium NOUN tt44pk05z9k 1 18 and and CCONJ tt44pk05z9k 1 19 in in ADP tt44pk05z9k 1 20 nonequilibrium nonequilibrium NOUN tt44pk05z9k 1 21 , , PUNCT tt44pk05z9k 1 22 that that ADV tt44pk05z9k 1 23 is is ADV tt44pk05z9k 1 24 , , PUNCT tt44pk05z9k 1 25 under under ADP tt44pk05z9k 1 26 a a DET tt44pk05z9k 1 27 gradient gradient NOUN tt44pk05z9k 1 28 of of ADP tt44pk05z9k 1 29 either either CCONJ tt44pk05z9k 1 30 pressure pressure NOUN tt44pk05z9k 1 31 , , PUNCT tt44pk05z9k 1 32 temperature temperature NOUN tt44pk05z9k 1 33 , , PUNCT tt44pk05z9k 1 34 or or CCONJ tt44pk05z9k 1 35 chemical chemical ADJ tt44pk05z9k 1 36 potential potential NOUN tt44pk05z9k 1 37 , , PUNCT tt44pk05z9k 1 38 was be AUX tt44pk05z9k 1 39 developed develop VERB tt44pk05z9k 1 40 . . PUNCT tt44pk05z9k 2 1 this this DET tt44pk05z9k 2 2 method method NOUN tt44pk05z9k 2 3 is be AUX tt44pk05z9k 2 4 based base VERB tt44pk05z9k 2 5 on on ADP tt44pk05z9k 2 6 tracking track VERB tt44pk05z9k 2 7 the the DET tt44pk05z9k 2 8 initial initial ADJ tt44pk05z9k 2 9 and and CCONJ tt44pk05z9k 2 10 final final ADJ tt44pk05z9k 2 11 positions position NOUN tt44pk05z9k 2 12 of of ADP tt44pk05z9k 2 13 unrestricted unrestricted ADJ tt44pk05z9k 2 14 trajectories trajectory NOUN tt44pk05z9k 2 15 that that PRON tt44pk05z9k 2 16 are be AUX tt44pk05z9k 2 17 launched launch VERB tt44pk05z9k 2 18 in in ADP tt44pk05z9k 2 19 short short ADJ tt44pk05z9k 2 20 simulations simulation NOUN tt44pk05z9k 2 21 . . PUNCT tt44pk05z9k 3 1 this this DET tt44pk05z9k 3 2 tracking tracking NOUN tt44pk05z9k 3 3 populates populate VERB tt44pk05z9k 3 4 a a DET tt44pk05z9k 3 5 transition transition NOUN tt44pk05z9k 3 6 matrix matrix NOUN tt44pk05z9k 3 7 , , PUNCT tt44pk05z9k 3 8 where where SCONJ tt44pk05z9k 3 9 each each DET tt44pk05z9k 3 10 matrix matrix NOUN tt44pk05z9k 3 11 entry entry NOUN tt44pk05z9k 3 12 corresponds correspond NOUN tt44pk05z9k 3 13 to to ADP tt44pk05z9k 3 14 predetermined predetermine VERB tt44pk05z9k 3 15 states state NOUN tt44pk05z9k 3 16 defined define VERB tt44pk05z9k 3 17 in in ADP tt44pk05z9k 3 18 the the DET tt44pk05z9k 3 19 initial initial ADJ tt44pk05z9k 3 20 step step NOUN tt44pk05z9k 3 21 of of ADP tt44pk05z9k 3 22 the the DET tt44pk05z9k 3 23 method method NOUN tt44pk05z9k 3 24 . . PUNCT tt44pk05z9k 4 1 the the DET tt44pk05z9k 4 2 steady steady ADJ tt44pk05z9k 4 3 - - PUNCT tt44pk05z9k 4 4 state state NOUN tt44pk05z9k 4 5 probability probability NOUN tt44pk05z9k 4 6 distribution distribution NOUN tt44pk05z9k 4 7 of of ADP tt44pk05z9k 4 8 the the DET tt44pk05z9k 4 9 system system NOUN tt44pk05z9k 4 10 and and CCONJ tt44pk05z9k 4 11 , , PUNCT tt44pk05z9k 4 12 consequently consequently ADV tt44pk05z9k 4 13 , , PUNCT tt44pk05z9k 4 14 its its PRON tt44pk05z9k 4 15 free free ADJ tt44pk05z9k 4 16 energy energy NOUN tt44pk05z9k 4 17 curve curve NOUN tt44pk05z9k 4 18 are be AUX tt44pk05z9k 4 19 obtained obtain VERB tt44pk05z9k 4 20 from from ADP tt44pk05z9k 4 21 the the DET tt44pk05z9k 4 22 eigenvector eigenvector NOUN tt44pk05z9k 4 23 corresponding correspond VERB tt44pk05z9k 4 24 to to ADP tt44pk05z9k 4 25 the the DET tt44pk05z9k 4 26 main main ADJ tt44pk05z9k 4 27 eigenvalue eigenvalue NOUN tt44pk05z9k 4 28 of of ADP tt44pk05z9k 4 29 the the DET tt44pk05z9k 4 30 transition transition NOUN tt44pk05z9k 4 31 matrix matrix NOUN tt44pk05z9k 4 32 . . PUNCT tt44pk05z9k 5 1 we we PRON tt44pk05z9k 5 2 see see VERB tt44pk05z9k 5 3 this this DET tt44pk05z9k 5 4 method method NOUN tt44pk05z9k 5 5 being be AUX tt44pk05z9k 5 6 applied apply VERB tt44pk05z9k 5 7 potentially potentially ADV tt44pk05z9k 5 8 in in ADP tt44pk05z9k 5 9 research research NOUN tt44pk05z9k 5 10 to to PART tt44pk05z9k 5 11 discovery discovery VERB tt44pk05z9k 5 12 new new ADJ tt44pk05z9k 5 13 materials material NOUN tt44pk05z9k 5 14 , , PUNCT tt44pk05z9k 5 15 specially specially ADV tt44pk05z9k 5 16 for for ADP tt44pk05z9k 5 17 the the DET tt44pk05z9k 5 18 design design NOUN tt44pk05z9k 5 19 of of ADP tt44pk05z9k 5 20 nanofiltration nanofiltration NOUN tt44pk05z9k 5 21 membranes membrane NOUN tt44pk05z9k 5 22 . . PUNCT