Equilibrium fluctuations in a metastable state of a Ginzburg–Landau system

D.I. Uzunov and A. Umantsev

Physica A: Statistical Mechanics and its Applications, 2016, vol. 448, issue C, 283-299

Abstract: We calculate thermal fluctuation ​properties–volume-averaged order parameter, Helmholtz free and internal energies, and their variances–of a supersaturated disordered phase in the Gibbs canonical ensemble for an asymmetric (third-order interactions), athermal (independence of the supersaturation and thermal noise) effective Hamiltonian. These properties are different from those of the symmetric thermal one with the most important differences being the phase coexistence and ‘thermal expansion’. The fluctuation properties of the system were calculated theoretically, using the perturbation method, and numerically, using the ‘brute force’ simulations method. Overall, the numerical calculations match the theory within the accuracy of the numerical method. However, a discrepancy of the dependence of the internal energy and its variance on the supersaturation exists. Results of the present study can be used for calculations of the fluctuation properties of the systems and modeling of nucleation and other rare events in the framework of the Ginzburg–Landau method.

Keywords: Phase transitions; Fluctuation phenomena; Perturbation theory; Numerical simulations (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437115011267
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:448:y:2016:i:c:p:283-299

DOI: 10.1016/j.physa.2015.12.098

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().