Finite-size rounding of a first-order phase transition

1980 ◽  
Vol 21 (5) ◽  
pp. 2042-2043 ◽  
Author(s):  
Yoseph Imry
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Finite Size ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

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

1988 ◽  
Vol 02 (02) ◽  
pp. 527-536 ◽  
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.

scholarly journals Gravitational wave signals of dark matter freeze-out

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Danny Marfatia ◽  
Po-Yan Tseng
Keyword(s):  
Phase Transition ◽  
Dark Matter ◽  
Gravitational Waves ◽  
Order Phase Transition ◽  
First Order ◽  
Stochastic Background ◽  
First Order Phase Transition ◽  
Relic Abundance ◽  
First Order Phase ◽  
Freeze Out

Abstract We study the stochastic background of gravitational waves which accompany the sudden freeze-out of dark matter triggered by a cosmological first order phase transition that endows dark matter with mass. We consider models that produce the measured dark matter relic abundance via (1) bubble filtering, and (2) inflation and reheating, and show that gravitational waves from these mechanisms are detectable at future interferometers.

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