id	sid	tid	token	lemma	pos
t435gb21x12	1	1	the	the	DET
t435gb21x12	1	2	calculation	calculation	NOUN
t435gb21x12	1	3	of	of	ADP
t435gb21x12	1	4	phase	phase	NOUN
t435gb21x12	1	5	equilibrium	equilibrium	NOUN
t435gb21x12	1	6	is	be	AUX
t435gb21x12	1	7	a	a	DET
t435gb21x12	1	8	fundamental	fundamental	ADJ
t435gb21x12	1	9	and	and	CCONJ
t435gb21x12	1	10	reoccurring	reoccurring	ADJ
t435gb21x12	1	11	problem	problem	NOUN
t435gb21x12	1	12	in	in	ADP
t435gb21x12	1	13	modeling	modeling	NOUN
t435gb21x12	1	14	of	of	ADP
t435gb21x12	1	15	chemical	chemical	ADJ
t435gb21x12	1	16	engineering	engineering	NOUN
t435gb21x12	1	17	phenomena	phenomenon	NOUN
t435gb21x12	1	18	.	.	PUNCT
t435gb21x12	2	1	a	a	DET
t435gb21x12	2	2	key	key	ADJ
t435gb21x12	2	3	step	step	NOUN
t435gb21x12	2	4	in	in	ADP
t435gb21x12	2	5	the	the	DET
t435gb21x12	2	6	computation	computation	NOUN
t435gb21x12	2	7	of	of	ADP
t435gb21x12	2	8	multiphase	multiphase	ADJ
t435gb21x12	2	9	equilibrium	equilibrium	NOUN
t435gb21x12	2	10	is	be	AUX
t435gb21x12	2	11	phase	phase	NOUN
t435gb21x12	2	12	stability	stability	NOUN
t435gb21x12	2	13	analysis	analysis	NOUN
t435gb21x12	2	14	.	.	PUNCT
t435gb21x12	3	1	a	a	DET
t435gb21x12	3	2	reliable	reliable	ADJ
t435gb21x12	3	3	technique	technique	NOUN
t435gb21x12	3	4	for	for	ADP
t435gb21x12	3	5	phase	phase	NOUN
t435gb21x12	3	6	stability	stability	NOUN
t435gb21x12	3	7	analysis	analysis	NOUN
t435gb21x12	3	8	will	will	AUX
t435gb21x12	3	9	assure	assure	VERB
t435gb21x12	3	10	both	both	PRON
t435gb21x12	3	11	that	that	SCONJ
t435gb21x12	3	12	the	the	DET
t435gb21x12	3	13	correct	correct	ADJ
t435gb21x12	3	14	number	number	NOUN
t435gb21x12	3	15	of	of	ADP
t435gb21x12	3	16	phases	phase	NOUN
t435gb21x12	3	17	is	be	AUX
t435gb21x12	3	18	found	find	VERB
t435gb21x12	3	19	,	,	PUNCT
t435gb21x12	3	20	and	and	CCONJ
t435gb21x12	3	21	that	that	SCONJ
t435gb21x12	3	22	the	the	DET
t435gb21x12	3	23	phase	phase	NOUN
t435gb21x12	3	24	split	split	NOUN
t435gb21x12	3	25	computed	compute	VERB
t435gb21x12	3	26	corresponds	correspond	NOUN
t435gb21x12	3	27	to	to	ADP
t435gb21x12	3	28	a	a	DET
t435gb21x12	3	29	global	global	ADJ
t435gb21x12	3	30	minimum	minimum	NOUN
t435gb21x12	3	31	in	in	ADP
t435gb21x12	3	32	the	the	DET
t435gb21x12	3	33	total	total	ADJ
t435gb21x12	3	34	gibbs	gibbs	PROPN
t435gb21x12	3	35	energy	energy	NOUN
t435gb21x12	3	36	.	.	PUNCT
t435gb21x12	4	1	that	that	ADV
t435gb21x12	4	2	is	is	ADV
t435gb21x12	4	3	,	,	PUNCT
t435gb21x12	4	4	phase	phase	NOUN
t435gb21x12	4	5	stability	stability	NOUN
t435gb21x12	4	6	analysis	analysis	NOUN
t435gb21x12	4	7	serves	serve	VERB
t435gb21x12	4	8	as	as	ADP
t435gb21x12	4	9	a	a	DET
t435gb21x12	4	10	global	global	ADJ
t435gb21x12	4	11	optimality	optimality	NOUN
t435gb21x12	4	12	test	test	NOUN
t435gb21x12	4	13	in	in	ADP
t435gb21x12	4	14	solving	solve	VERB
t435gb21x12	4	15	the	the	DET
t435gb21x12	4	16	global	global	ADJ
t435gb21x12	4	17	optimization	optimization	NOUN
t435gb21x12	4	18	problem	problem	NOUN
t435gb21x12	4	19	that	that	PRON
t435gb21x12	4	20	determines	determine	VERB
t435gb21x12	4	21	phase	phase	NOUN
t435gb21x12	4	22	equilibrium	equilibrium	NOUN
t435gb21x12	4	23	at	at	ADP
t435gb21x12	4	24	constant	constant	ADJ
t435gb21x12	4	25	temperature	temperature	NOUN
t435gb21x12	4	26	and	and	CCONJ
t435gb21x12	4	27	pressure	pressure	NOUN
t435gb21x12	4	28	.	.	PUNCT
t435gb21x12	5	1	however	however	ADV
t435gb21x12	5	2	,	,	PUNCT
t435gb21x12	5	3	phase	phase	NOUN
t435gb21x12	5	4	stability	stability	NOUN
t435gb21x12	5	5	analysis	analysis	NOUN
t435gb21x12	5	6	is	be	AUX
t435gb21x12	5	7	itself	itself	PRON
t435gb21x12	5	8	a	a	DET
t435gb21x12	5	9	global	global	ADJ
t435gb21x12	5	10	optimization	optimization	NOUN
t435gb21x12	5	11	problem	problem	NOUN
t435gb21x12	5	12	that	that	PRON
t435gb21x12	5	13	can	can	AUX
t435gb21x12	5	14	be	be	AUX
t435gb21x12	5	15	very	very	ADV
t435gb21x12	5	16	difficult	difficult	ADJ
t435gb21x12	5	17	to	to	PART
t435gb21x12	5	18	solve	solve	VERB
t435gb21x12	5	19	reliably	reliably	ADV
t435gb21x12	5	20	.	.	PUNCT
t435gb21x12	6	1	stochastic	stochastic	ADJ
t435gb21x12	6	2	global	global	ADJ
t435gb21x12	6	3	optimization	optimization	NOUN
t435gb21x12	6	4	methods	method	NOUN
t435gb21x12	6	5	(	(	PUNCT
t435gb21x12	6	6	e.g.	e.g.	ADV
t435gb21x12	6	7	,	,	PUNCT
t435gb21x12	6	8	simulated	simulated	ADJ
t435gb21x12	6	9	annealing	annealing	NOUN
t435gb21x12	6	10	,	,	PUNCT
t435gb21x12	6	11	genetic	genetic	ADJ
t435gb21x12	6	12	algorithms	algorithm	NOUN
t435gb21x12	6	13	,	,	PUNCT
t435gb21x12	6	14	etc	etc	X
t435gb21x12	6	15	.	.	X
t435gb21x12	6	16	)	)	PUNCT
t435gb21x12	6	17	have	have	AUX
t435gb21x12	6	18	been	be	AUX
t435gb21x12	6	19	frequently	frequently	ADV
t435gb21x12	6	20	proposed	propose	VERB
t435gb21x12	6	21	in	in	ADP
t435gb21x12	6	22	this	this	DET
t435gb21x12	6	23	context	context	NOUN
t435gb21x12	6	24	.	.	PUNCT
t435gb21x12	7	1	however	however	ADV
t435gb21x12	7	2	,	,	PUNCT
t435gb21x12	7	3	none	none	NOUN
t435gb21x12	7	4	of	of	ADP
t435gb21x12	7	5	these	these	DET
t435gb21x12	7	6	techniques	technique	NOUN
t435gb21x12	7	7	is	be	AUX
t435gb21x12	7	8	actually	actually	ADV
t435gb21x12	7	9	guaranteed	guarantee	VERB
t435gb21x12	7	10	to	to	PART
t435gb21x12	7	11	produce	produce	VERB
t435gb21x12	7	12	the	the	DET
t435gb21x12	7	13	correct	correct	ADJ
t435gb21x12	7	14	results	result	NOUN
t435gb21x12	7	15	.	.	PUNCT
t435gb21x12	8	1	thus	thus	ADV
t435gb21x12	8	2	,	,	PUNCT
t435gb21x12	8	3	there	there	PRON
t435gb21x12	8	4	has	have	AUX
t435gb21x12	8	5	been	be	AUX
t435gb21x12	8	6	significant	significant	ADJ
t435gb21x12	8	7	interest	interest	NOUN
t435gb21x12	8	8	in	in	ADP
t435gb21x12	8	9	the	the	DET
t435gb21x12	8	10	development	development	NOUN
t435gb21x12	8	11	of	of	ADP
t435gb21x12	8	12	deterministic	deterministic	ADJ
t435gb21x12	8	13	techniques	technique	NOUN
t435gb21x12	8	14	that	that	PRON
t435gb21x12	8	15	guarantee	guarantee	VERB
t435gb21x12	8	16	the	the	DET
t435gb21x12	8	17	correct	correct	ADJ
t435gb21x12	8	18	solution	solution	NOUN
t435gb21x12	8	19	of	of	ADP
t435gb21x12	8	20	the	the	DET
t435gb21x12	8	21	phase	phase	NOUN
t435gb21x12	8	22	stability	stability	NOUN
t435gb21x12	8	23	problem	problem	NOUN
t435gb21x12	8	24	.	.	PUNCT
t435gb21x12	9	1	these	these	DET
t435gb21x12	9	2	efforts	effort	NOUN
t435gb21x12	9	3	have	have	AUX
t435gb21x12	9	4	been	be	AUX
t435gb21x12	9	5	focused	focus	VERB
t435gb21x12	9	6	primarily	primarily	ADV
t435gb21x12	9	7	on	on	ADP
t435gb21x12	9	8	the	the	DET
t435gb21x12	9	9	case	case	NOUN
t435gb21x12	9	10	of	of	ADP
t435gb21x12	9	11	symmetric	symmetric	ADJ
t435gb21x12	9	12	models	model	NOUN
t435gb21x12	9	13	(	(	PUNCT
t435gb21x12	9	14	same	same	ADJ
t435gb21x12	9	15	thermodynamic	thermodynamic	ADJ
t435gb21x12	9	16	model	model	NOUN
t435gb21x12	9	17	used	use	VERB
t435gb21x12	9	18	for	for	ADP
t435gb21x12	9	19	all	all	DET
t435gb21x12	9	20	phases	phase	NOUN
t435gb21x12	9	21	)	)	PUNCT
t435gb21x12	9	22	.	.	PUNCT
t435gb21x12	10	1	work	work	VERB
t435gb21x12	10	2	on	on	ADP
t435gb21x12	10	3	deterministic	deterministic	ADJ
t435gb21x12	10	4	stability	stability	NOUN
t435gb21x12	10	5	analysis	analysis	NOUN
t435gb21x12	10	6	for	for	ADP
t435gb21x12	10	7	the	the	DET
t435gb21x12	10	8	asymmetric	asymmetric	ADJ
t435gb21x12	10	9	case	case	NOUN
t435gb21x12	10	10	(	(	PUNCT
t435gb21x12	10	11	different	different	ADJ
t435gb21x12	10	12	models	model	NOUN
t435gb21x12	10	13	used	use	VERB
t435gb21x12	10	14	for	for	ADP
t435gb21x12	10	15	different	different	ADJ
t435gb21x12	10	16	phases	phase	NOUN
t435gb21x12	10	17	)	)	PUNCT
t435gb21x12	10	18	has	have	AUX
t435gb21x12	10	19	been	be	AUX
t435gb21x12	10	20	limited	limit	VERB
t435gb21x12	10	21	to	to	ADP
t435gb21x12	10	22	cases	case	NOUN
t435gb21x12	10	23	involving	involve	VERB
t435gb21x12	10	24	either	either	CCONJ
t435gb21x12	10	25	an	an	DET
t435gb21x12	10	26	ideal	ideal	ADJ
t435gb21x12	10	27	gas	gas	NOUN
t435gb21x12	10	28	vapor	vapor	NOUN
t435gb21x12	10	29	phase	phase	NOUN
t435gb21x12	10	30	or	or	CCONJ
t435gb21x12	10	31	a	a	DET
t435gb21x12	10	32	pure	pure	ADJ
t435gb21x12	10	33	solid	solid	ADJ
t435gb21x12	10	34	phase	phase	NOUN
t435gb21x12	10	35	.	.	PUNCT
t435gb21x12	11	1	in	in	ADP
t435gb21x12	11	2	this	this	DET
t435gb21x12	11	3	thesis	thesis	NOUN
t435gb21x12	11	4	,	,	PUNCT
t435gb21x12	11	5	a	a	DET
t435gb21x12	11	6	deterministic	deterministic	ADJ
t435gb21x12	11	7	method	method	NOUN
t435gb21x12	11	8	for	for	ADP
t435gb21x12	11	9	the	the	DET
t435gb21x12	11	10	more	more	ADV
t435gb21x12	11	11	general	general	ADJ
t435gb21x12	11	12	asymmetric	asymmetric	ADJ
t435gb21x12	11	13	case	case	NOUN
t435gb21x12	11	14	will	will	AUX
t435gb21x12	11	15	be	be	AUX
t435gb21x12	11	16	presented	present	VERB
t435gb21x12	11	17	,	,	PUNCT
t435gb21x12	11	18	focusing	focus	VERB
t435gb21x12	11	19	on	on	ADP
t435gb21x12	11	20	the	the	DET
t435gb21x12	11	21	common	common	ADJ
t435gb21x12	11	22	situation	situation	NOUN
t435gb21x12	11	23	in	in	ADP
t435gb21x12	11	24	modeling	model	VERB
t435gb21x12	11	25	vapor	vapor	NOUN
t435gb21x12	11	26	-	-	PUNCT
t435gb21x12	11	27	liquid	liquid	ADJ
t435gb21x12	11	28	equilibrium	equilibrium	NOUN
t435gb21x12	11	29	in	in	ADP
t435gb21x12	11	30	which	which	PRON
t435gb21x12	11	31	nonidealities	nonidealitie	NOUN
t435gb21x12	11	32	are	be	AUX
t435gb21x12	11	33	represented	represent	VERB
t435gb21x12	11	34	in	in	ADP
t435gb21x12	11	35	the	the	DET
t435gb21x12	11	36	vapor	vapor	NOUN
t435gb21x12	11	37	phase	phase	NOUN
t435gb21x12	11	38	by	by	ADP
t435gb21x12	11	39	an	an	DET
t435gb21x12	11	40	equation	equation	NOUN
t435gb21x12	11	41	of	of	ADP
t435gb21x12	11	42	state	state	NOUN
t435gb21x12	11	43	and	and	CCONJ
t435gb21x12	11	44	in	in	ADP
t435gb21x12	11	45	the	the	DET
t435gb21x12	11	46	liquid	liquid	ADJ
t435gb21x12	11	47	phase	phase	NOUN
t435gb21x12	11	48	by	by	ADP
t435gb21x12	11	49	an	an	DET
t435gb21x12	11	50	excess	excess	ADJ
t435gb21x12	11	51	gibbs	gibbs	PROPN
t435gb21x12	11	52	energy	energy	NOUN
t435gb21x12	11	53	model	model	NOUN
t435gb21x12	11	54	.	.	PUNCT
t435gb21x12	12	1	in	in	ADP
t435gb21x12	12	2	comparison	comparison	NOUN
t435gb21x12	12	3	to	to	ADP
t435gb21x12	12	4	the	the	DET
t435gb21x12	12	5	symmetric	symmetric	ADJ
t435gb21x12	12	6	model	model	NOUN
t435gb21x12	12	7	case	case	NOUN
t435gb21x12	12	8	,	,	PUNCT
t435gb21x12	12	9	the	the	DET
t435gb21x12	12	10	use	use	NOUN
t435gb21x12	12	11	of	of	ADP
t435gb21x12	12	12	multiple	multiple	ADJ
t435gb21x12	12	13	thermodynamic	thermodynamic	ADJ
t435gb21x12	12	14	models	model	NOUN
t435gb21x12	12	15	in	in	ADP
t435gb21x12	12	16	the	the	DET
t435gb21x12	12	17	asymmetric	asymmetric	ADJ
t435gb21x12	12	18	case	case	NOUN
t435gb21x12	12	19	adds	add	VERB
t435gb21x12	12	20	an	an	DET
t435gb21x12	12	21	additional	additional	ADJ
t435gb21x12	12	22	layer	layer	NOUN
t435gb21x12	12	23	of	of	ADP
t435gb21x12	12	24	complexity	complexity	NOUN
t435gb21x12	12	25	to	to	ADP
t435gb21x12	12	26	the	the	DET
t435gb21x12	12	27	phase	phase	NOUN
t435gb21x12	12	28	stability	stability	NOUN
t435gb21x12	12	29	problem	problem	NOUN
t435gb21x12	12	30	.	.	PUNCT
t435gb21x12	13	1	to	to	PART
t435gb21x12	13	2	deal	deal	VERB
t435gb21x12	13	3	with	with	ADP
t435gb21x12	13	4	this	this	DET
t435gb21x12	13	5	additional	additional	ADJ
t435gb21x12	13	6	complexity	complexity	NOUN
t435gb21x12	13	7	the	the	DET
t435gb21x12	13	8	phase	phase	NOUN
t435gb21x12	13	9	stability	stability	NOUN
t435gb21x12	13	10	problem	problem	NOUN
t435gb21x12	13	11	is	be	AUX
t435gb21x12	13	12	formulated	formulate	VERB
t435gb21x12	13	13	in	in	ADP
t435gb21x12	13	14	terms	term	NOUN
t435gb21x12	13	15	of	of	ADP
t435gb21x12	13	16	a	a	DET
t435gb21x12	13	17	new	new	ADJ
t435gb21x12	13	18	type	type	NOUN
t435gb21x12	13	19	of	of	ADP
t435gb21x12	13	20	tangent	tangent	ADJ
t435gb21x12	13	21	plane	plane	NOUN
t435gb21x12	13	22	distance	distance	NOUN
t435gb21x12	13	23	function	function	NOUN
t435gb21x12	13	24	,	,	PUNCT
t435gb21x12	13	25	which	which	PRON
t435gb21x12	13	26	uses	use	VERB
t435gb21x12	13	27	a	a	DET
t435gb21x12	13	28	binary	binary	ADJ
t435gb21x12	13	29	variable	variable	NOUN
t435gb21x12	13	30	to	to	PART
t435gb21x12	13	31	account	account	VERB
t435gb21x12	13	32	for	for	ADP
t435gb21x12	13	33	the	the	DET
t435gb21x12	13	34	presence	presence	NOUN
t435gb21x12	13	35	of	of	ADP
t435gb21x12	13	36	different	different	ADJ
t435gb21x12	13	37	liquidand	liquidand	NOUN
t435gb21x12	13	38	vapor	vapor	NOUN
t435gb21x12	13	39	-	-	PUNCT
t435gb21x12	13	40	phase	phase	NOUN
t435gb21x12	13	41	models	model	NOUN
t435gb21x12	13	42	.	.	PUNCT
t435gb21x12	14	1	to	to	PART
t435gb21x12	14	2	then	then	ADV
t435gb21x12	14	3	solve	solve	VERB
t435gb21x12	14	4	the	the	DET
t435gb21x12	14	5	problem	problem	NOUN
t435gb21x12	14	6	deterministically	deterministically	ADV
t435gb21x12	14	7	,	,	PUNCT
t435gb21x12	14	8	an	an	DET
t435gb21x12	14	9	interval	interval	NOUN
t435gb21x12	14	10	-	-	PUNCT
t435gb21x12	14	11	newton	newton	NOUN
t435gb21x12	14	12	approach	approach	NOUN
t435gb21x12	14	13	is	be	AUX
t435gb21x12	14	14	used	use	VERB
t435gb21x12	14	15	.	.	PUNCT
t435gb21x12	15	1	the	the	DET
t435gb21x12	15	2	new	new	ADJ
t435gb21x12	15	3	methodology	methodology	NOUN
t435gb21x12	15	4	is	be	AUX
t435gb21x12	15	5	tested	test	VERB
t435gb21x12	15	6	using	use	VERB
t435gb21x12	15	7	several	several	ADJ
t435gb21x12	15	8	examples	example	NOUN
t435gb21x12	15	9	with	with	ADP
t435gb21x12	15	10	nrtl	nrtl	PROPN
t435gb21x12	15	11	as	as	ADP
t435gb21x12	15	12	the	the	DET
t435gb21x12	15	13	liquid	liquid	NOUN
t435gb21x12	15	14	-	-	PUNCT
t435gb21x12	15	15	phase	phase	NOUN
t435gb21x12	15	16	model	model	NOUN
t435gb21x12	15	17	and	and	CCONJ
t435gb21x12	15	18	a	a	DET
t435gb21x12	15	19	cubic	cubic	ADJ
t435gb21x12	15	20	equation	equation	NOUN
t435gb21x12	15	21	of	of	ADP
t435gb21x12	15	22	state	state	NOUN
t435gb21x12	15	23	as	as	ADP
t435gb21x12	15	24	the	the	DET
t435gb21x12	15	25	vapor	vapor	NOUN
t435gb21x12	15	26	-	-	PUNCT
t435gb21x12	15	27	phase	phase	NOUN
t435gb21x12	15	28	model	model	NOUN
t435gb21x12	15	29	.	.	PUNCT
t435gb21x12	16	1	in	in	ADP
t435gb21x12	16	2	three	three	NUM
t435gb21x12	16	3	cases	case	NOUN
t435gb21x12	16	4	,	,	PUNCT
t435gb21x12	16	5	published	publish	VERB
t435gb21x12	16	6	phase	phase	NOUN
t435gb21x12	16	7	equilibrium	equilibrium	NOUN
t435gb21x12	16	8	computations	computation	NOUN
t435gb21x12	16	9	were	be	AUX
t435gb21x12	16	10	found	find	VERB
t435gb21x12	16	11	to	to	PART
t435gb21x12	16	12	be	be	AUX
t435gb21x12	16	13	incorrect	incorrect	ADJ
t435gb21x12	16	14	(	(	PUNCT
t435gb21x12	16	15	not	not	PART
t435gb21x12	16	16	stable	stable	ADJ
t435gb21x12	16	17	)	)	PUNCT
t435gb21x12	16	18	.	.	PUNCT
t435gb21x12	17	1	procedures	procedure	NOUN
t435gb21x12	17	2	for	for	ADP
t435gb21x12	17	3	deterministic	deterministic	ADJ
t435gb21x12	17	4	phase	phase	NOUN
t435gb21x12	17	5	stability	stability	NOUN
t435gb21x12	17	6	analysis	analysis	NOUN
t435gb21x12	17	7	,	,	PUNCT
t435gb21x12	17	8	such	such	ADJ
t435gb21x12	17	9	as	as	ADP
t435gb21x12	17	10	described	describe	VERB
t435gb21x12	17	11	here	here	ADV
t435gb21x12	17	12	,	,	PUNCT
t435gb21x12	17	13	can	can	AUX
t435gb21x12	17	14	be	be	AUX
t435gb21x12	17	15	used	use	VERB
t435gb21x12	17	16	in	in	ADP
t435gb21x12	17	17	connection	connection	NOUN
t435gb21x12	17	18	with	with	ADP
t435gb21x12	17	19	any	any	DET
t435gb21x12	17	20	algorithm	algorithm	NOUN
t435gb21x12	17	21	or	or	CCONJ
t435gb21x12	17	22	software	software	NOUN
t435gb21x12	17	23	package	package	NOUN
t435gb21x12	17	24	for	for	ADP
t435gb21x12	17	25	computing	compute	VERB
t435gb21x12	17	26	phase	phase	NOUN
t435gb21x12	17	27	equilibrium	equilibrium	NOUN
t435gb21x12	17	28	,	,	PUNCT
t435gb21x12	17	29	to	to	PART
t435gb21x12	17	30	validate	validate	VERB
t435gb21x12	17	31	the	the	DET
t435gb21x12	17	32	computed	compute	VERB
t435gb21x12	17	33	results	result	NOUN
t435gb21x12	17	34	and	and	CCONJ
t435gb21x12	17	35	to	to	PART
t435gb21x12	17	36	provide	provide	VERB
t435gb21x12	17	37	corrective	corrective	ADJ
t435gb21x12	17	38	feedback	feedback	NOUN
t435gb21x12	17	39	if	if	SCONJ
t435gb21x12	17	40	needed	need	VERB
t435gb21x12	17	41	.	.	PUNCT