Classical Statistical Mechanics of a Kink-Bearing Complex Scalar Field | Zendy

Tadao Miyashita | Zendy; Kazuo Sasaki | Zendy; T. Tsuzuki | Zendy

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Classical Statistical Mechanics of a Kink-Bearing Complex Scalar Field

Author(s) -

Tadao Miyashita,

Kazuo Sasaki,

T. Tsuzuki

Publication year - 1982

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.68.1880

Subject(s) - physics , phenomenology (philosophy) , scalar (mathematics) , statistical mechanics , ideal gas , scalar field , anomaly (physics) , classical mechanics , quantum mechanics , geometry , mathematics , philosophy , epistemology

We investigate classical statistical mechanics of a kink-bearing complex scalar field of one dimension at low temperatures by means of both the transfer integral (TI) method and the ideal kink gas phenomenology. We calculate the free-energy density with the finite temperature corrections by the use of the TI method and reveal the Schottky-type anomaly of specific heat due to kinks. Next the free-energy density is re-calculated by means of the ideal kink gas phenomenology. Both theories give precisely the same expression at low temperatures, so that kinks and phonons are regarded as elementary excitations at low temperatures in the same manner as one-component scalar fields. Peculiar fluctuations inherent in our model make the temperature dependence of several kink-related physical quantities changed and they make the Schottky-type anomaly of specific heat conspicuous.

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