Finite-size effects on nucleation in a first-order phase transition

The finite-sized effect caused by compactified space–time is scrutinized by means of the linear sigma model with constituent quarks at finite temperature T and chemical potential μ, where the compactified spatial dimension with length L is taken along the Oz direction. We find several finite-size effects associated with compactified length L: (a) There are two types of Casimir energy corresponding to two types of quarks, untwisted and twisted quarks. (b) For untwisted quarks, a first-order phase transition emerges at intermediate values of L when the Casimir effect is not taken into account and is enhanced by Casimir energy at small L. (c) For twisted quarks, the phase transition is cross-over everywhere when μ≤200 MeV . When μ> 200 MeV there occurs a first-order phase transition at large L and becomes cross-over at smaller L.

Download Full-text

Finite Size Effect for the First-Order Phase Transition of the Three-Dimensional Blume–Capel Model on a Cellular Automaton

Chinese Physics Letters ◽

10.1088/0256-307x/23/9/049 ◽

2006 ◽

Vol 23 (9) ◽

pp. 2526-2529 ◽

Cited By ~ 9

Author(s):

N Seferoğlu ◽

A Özkan ◽

B Kutlu

Keyword(s):

Phase Transition ◽

Size Effect ◽

Cellular Automaton ◽

Order Phase Transition ◽

Three Dimensional ◽

Finite Size ◽

Finite Size Effect ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

Download Full-text

FINITE-SIZE SCALING ANALYSIS OF THE DECAY OF AN UNSTABLE STATE DURING A FIRST ORDER PHASE TRANSITION

Modern Physics Letters B ◽

10.1142/s0217984988000126 ◽

1988 ◽

Vol 02 (02) ◽

pp. 527-536 ◽

Cited By ~ 4

Author(s):

JORGE VIÑALS ◽

DAVID JASNOW

Keyword(s):

Phase Transition ◽

Order Phase Transition ◽

Structure Factor ◽

Order Parameter ◽

Finite Size ◽

Unstable State ◽

Finite Size Scaling ◽

First Order ◽

First Order Phase Transition ◽

First Order Phase

We extend standard finite-size scaling methods to study the dynamical evolution of an unstable state far from equilibrium as the system undergoes a first order phase transition. We suggest that the nonequilibrium structure factor S(q, t, L), at late times and for large enough lattice sizes, scales as S(q, t, L)=LdF(qL, t1/x/L). L is the linear dimension of the system and 1/x is the domain growth exponent. We obtain x=2 in the case of the kinetic Ising model with a nonconserved order parameter. For a critical quench in a system with conserved order parameter, scaling of the peak of the structure factor gives 1/x≈0.27. Higher wavenumbers, however, are more consistent with x=3.

Download Full-text

THE SPECTRUM OF THE $\mathcal{T}$-MATRIX AND THE SURFACE TENSION IN THE SU(3) GAUGE THEORY

International Journal of Modern Physics C ◽

10.1142/s0129183192000610 ◽

1992 ◽

Vol 03 (05) ◽

pp. 947-960 ◽

Cited By ~ 1

Author(s):

T. TRAPPENBERG

Keyword(s):

Phase Transition ◽

Surface Tension ◽

Gauge Theory ◽

Finite Size ◽

Temperature Phase ◽

Finite Size Effects ◽

First Order ◽

First Order Phase Transition ◽

Temperature Phase Transition ◽

First Order Phase

The transfer matrix method to describe finite size effects due to tunneling are worked out for Z(2)- and Z(3)-symmetric models. We used this method to extract the surface tension σ in the SU(3) gauge theory at the finite temperature phase transition on lattices with an extent T=2 in the euclidean time direction. We also discuss if the confined phase completely wets the deconfined phase at this first order phase transition.

Download Full-text