Volume 113, Number 2, January 2016
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||11 February 2016|
Phenomenological theory of the Potts model evaporation-condensation transition
INFN-Gruppo Collegato di Parma - via G.P. Usberti, 7/A, 43124, Parma, Italy and Dipartimento di Fisica, Università di Roma “La Sapienza” - Piazzale Aldo Moro 5, 00185, Roma, Italy
Received: 3 December 2015
Accepted: 25 January 2016
We present a phenomenological theory describing the finite-size evaporation-condensation transition of the q-state Potts model in the microcanonical ensemble. Our arguments rely on the existence of an exponent σ, relating the surface and the volume of the condensed phase droplet. The evaporation-condensation transition temperature and energy converge to their infinite-size values with the same power, , of the inverse of the system size. For the 2D Potts model we show, by means of efficient simulations up to q = 24 and 10242 sites, that the exponent a is compatible with 1/4, assuming assymptotic finite-size convergence. While this value cannot be addressed by the evaporation-condensation theory developed for the Ising model, it is obtained in the present scheme if , in agreement with previous theoretical guesses. The connection with the phenomenon of metastability in the canonical ensemble is also discussed.
PACS: 64.70.fm – Thermodynamics studies of evaporation and condensation / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 64.60.My – Metastable phases
© EPLA, 2016
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.