Critical temperature for first-order phase transitions in confined systems

Details Critical temperature for first-order phase transitions in confined systems Critical temperature for first-order phase transitions in confined systems

2007-11-30

arxiv.org/abs/0711.5000v1

Physics

Condensed Matter

Soft Condensed Matter

REVTEX, 11 pages, 3 figures; to appear in Eur. Phys. Journal B

Scientific paper

10.1140/epjb/e2007-00355-4

We consider the Euclidean $D$-dimensional $-\lambda |\phi |^4+\eta |\phi |^6$ ($\lambda ,\eta >0 $) model with $d$ ($d\leq D$) compactified dimensions. Introducing temperature by means of the Ginzburg--Landau prescription in the mass term of the Hamiltonian, this model can be interpreted as describing a first-order phase transition for a system in a region of the $D$-dimensional space, limited by $d$ pairs of parallel planes, orthogonal to the coordinates axis $x_1, x_2, ..., x_d$. The planes in each pair are separated by distances $L_1, L_2, ..., L_d$. We obtain an expression for the transition temperature as a function of the size of the system, $% T_c(\{L_i\})$, $i=1, 2, ..., d$. For D=3 we particularize this formula, taking $L_1=L_2=... =L_d=L$ for the physically interesting cases $d=1$ (a film), $d=2$ (an infinitely long wire having a square cross-section), and for $d=3$ (a cube). For completeness, the corresponding formulas for second-order transitions are also presented. Comparison with experimental data for superconducting films and wires shows qualitative agreement with our theoretical expressions

Affiliated with

Also associated with

No associations

Rating

Critical temperature for first-order phase transitions in confined systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical temperature for first-order phase transitions in confined systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical temperature for first-order phase transitions in confined systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703243