2010
DOI: 10.1063/1.3502684
|View full text |Cite
|
Sign up to set email alerts
|

Capillary condensation in cylindrical pores: Monte Carlo study of the interplay of surface and finite size effects

Abstract: When a fluid that undergoes a vapor to liquid transition in the bulk is confined to a long cylindrical pore, the phase transition is shifted (mostly due to surface effects at the walls of the pore) and rounded (due to finite size effects). The nature of the phase coexistence at the transition depends on the length of the pore: For very long pores the system is axially homogeneous at low temperatures. At the chemical potential where the transition takes place fluctuations occur between vapor-like and liquid-lik… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1
1

Citation Types

1
30
0
6

Year Published

2011
2011
2015
2015

Publication Types

Select...
5
2

Relationship

0
7

Authors

Journals

citations
Cited by 44 publications
(37 citation statements)
references
References 125 publications
(222 reference statements)
1
30
0
6
Order By: Relevance
“…However, the droplet size remains finite in this case, owing to the fact that the d = 1 Ising model at finite temperature does not support a finite magnetization. Similar finite-size effects occur in colloid-polymer mixtures confined to cylindrical pores, which also belong to the universality class of the d = 1 Ising model [35,36].…”
Section: -9mentioning
confidence: 96%
“…However, the droplet size remains finite in this case, owing to the fact that the d = 1 Ising model at finite temperature does not support a finite magnetization. Similar finite-size effects occur in colloid-polymer mixtures confined to cylindrical pores, which also belong to the universality class of the d = 1 Ising model [35,36].…”
Section: -9mentioning
confidence: 96%
“…The extrapolations of After an approximate determination of T c we are in a condition to attempt the achievement of data collapse of relevant observables in order to test the validity of the scaling relations (8) and (9) as shown in Figures 6 and 7, respectively. At this point it is worth mentioning that we assume that the system belongs to the 3D-Ising universality class, hence we will make use of reported values 43 for the critical exponents, namely, β = 0.3265(3), ν = 0.63002 (10), and γ = 1.2372(5). The quality of the achieved data collapse was also used to improve the accuracy of the previously determined critical temperature by means of a carefully viewed inspection, estimating a value of T c = 6.208(4) since tiny and systematic deviations are observed for different temperatures (not shown here for the sake of space).…”
Section: Theoretical Background: Finite-size Scaling Approach Apmentioning
confidence: 99%
“…Very recently, the Ising magnet was also employed for the study of both capillary condensation and the rounding of phase transitions in cylindrical pores. 10,27 The former case was also studied in 2D by adopting a rectangular (L × D, L D) geometry, i.e., by actually using long strips (for early studies of this system performed by keeping the aspect ratio D/L = constant see also Ref. 28).…”
Section: Introductionmentioning
confidence: 99%
See 2 more Smart Citations