Ordering kinetics in the q-state clock model: Scaling properties and growth laws

S. Chatterjee, S. Puri, and R. Paul
Phys. Rev. E 98, 032109 – Published 7 September 2018

Abstract

We present a comprehensive Monte Carlo study of the ordering kinetics in the d=2 ferromagnetic q-state clock model with nonconserved Glauber dynamics. In agreement with previous studies we find that q5 is characterized by two phase transitions occurring at temperatures Tc1 and Tc2 (Tc2<Tc1). Phase-ordering kinetics is then investigated by rapidly quenching the system in two phases, in the quasi-long-range ordered phase (QLRO), where Tc2<T<Tc1, and in the long-range ordered phase (LRO), where T<Tc2, T being the quench temperature. Our numerical data for equal time spatial correlation function C(r,t) and structure factor S(k,t) support dynamical scaling. Quench in the LRO regime is characterized by a crossover from a preasymptotic growth driven by the annealing of both vortices and interfaces to an interface driven growth at the asymptotic regime with growth exponent n0.5. In the QLRO quench regime, domains coarsen mainly via annihilation of point defects and our length-scale data for q=9, 12, and 20 suggests a R(t)(t/lnt)1/2 growth law for the q-state clock model in the QLRO phase.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 6 July 2018

DOI:https://doi.org/10.1103/PhysRevE.98.032109

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

S. Chatterjee1,*, S. Puri2,†, and R. Paul1,‡

  • 1Indian Association for the Cultivation of Science, Kolkata 700032, India
  • 2School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

  • *sspsc5@iacs.res.in
  • puri@mail.jnu.ac.in
  • ssprp@iacs.res.in

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 3 — September 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×