arXiv subjects

Carmen J. Gagne

Publications and source records attributed to Carmen J. Gagne.

2 recordsLinked to original sources

arXiv2001

Quantifying Nonequilibrium Behavior with Varying Cooling Rates

We investigate nonequilibrium behavior in (1+1)-dimensional stochastic field theories in the context of Ginzburg-Landau models at varying cooling rates. We argue that a reliable measure of the departure from thermal equilibrium can be obtained from the absolute value of the rate of change of the momentum-integrated structure function, $ΔS_{\rm{tot}}$. We show that the peak of $ΔS_{\rm{tot}}$ scales with the cooling, or quench, time-scale, $τ_q$, in agreement with the prediction by Laguna and Zurek for the scaling of freeze-out time in both over and under-damped regimes. Furthermore, we show that the amplitude of the peak scales as $τ_q^{-6/5}$ independent of the viscosity.

cond-mat.stat-mech↗

arXiv2000

Lattice Independent Approach to Thermal Phase Mixing

We show how to achieve lattice-spacing independent results in numerical simulations of finite-temperature stochastic scalar field theories. We generalize the previous approach of hep-lat/9607026 by obtaining results which are independent of the renormalization scale. As an application of our method, we examine thermal phase mixing in the context of Ginzburg-Landau models with short-range interactions. In particular, we obtain the lattice-spacing and renormalization-scale independent critical value of the control parameter which determines the free-energy barrier between the two low-temperature phases. We also propose a simple procedure to extract the critical value of control parameters for different choices of lattice spacing.

cond-mat.stat-mech↗