Finite-size scaling of quasi-stationary-state temperature.
Phys Rev E
; 105(4-1): 044111, 2022 Apr.
Article
em En
| MEDLINE
| ID: mdl-35590528
ABSTRACT
We numerically study, from first principles, the temperature T_{QSS} and duration t_{QSS} of the longstanding initial quasi-stationary state of the isolated d-dimensional classical inertial α-XY ferromagnet with two-body interactions decaying as 1/r_{ij}^{α} (α≥0). It is shown that this temperature T_{QSS} (defined proportional to the kinetic energy per particle) depends, for the long-range regime 0≤α/d≤1, on (α,d,U,N) with numerically negligible changes for dimensions d=1,2,3, with U the energy per particle and N the number of particles. We verify the finite-size scaling T_{QSS}-T_{∞}â1/N^{ß} where T_{∞}≡2U-1 for Uâ²U_{c}, and ß appears to depend sensibly only on α/d. Our numerical results indicate that neither the scaling with N of T_{QSS} nor that of t_{QSS} depend on U.
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MEDLINE
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En
Ano de publicação:
2022
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Article