DOI: https://doi.org/10.30970/jps.01.1
SOME PROBLEMS OF THE CONSTRUCTION OF WEAKLY RELATIVISTIC STATISTICAL MECHANICS
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Journal of Physical Studies 1(1), 1–11 (1996)
DOI: https://doi.org/10.30970/jps.01.1 SOME PROBLEMS OF THE CONSTRUCTION OF WEAKLY RELATIVISTIC STATISTICAL MECHANICS |
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L. F. Blazhievsky, H. B. Hil', S. S. Semak
Ivan Franko Lviv State University, Chair of Theoretical Physics
12 Drahomanov Str., Lviv UA-290005, Ukraine
The traditional formulation of the weakly relativistic statistical mechanics is analyzed. It is shown that the existence of the thermodynamic limit leads to some restrictions on the choice of approximations necessary for the determination of the explicit form of Gibbs distribution and Liouville equation. For the systems with long-range interaction these approximations differ from the ones used in the canonical formulation of the post-Newtonian mechanics. The statistical mechanics approximations often of necessity take into account the long-range many particle interactions proportional to higher powers of the interaction constant. The criterions and ways of accounting for these contributions in the cases of electromagnetic and gravitational weakly relativistic interactions are considered. The effective Hamilton function and Liouville equation for the weakly relativistic systems are determined. It is shown that in the weakly nonuniform case the many particle electromagnetic interactions lead to the screening of pair transverse interactions and to the arising of the effective particle mass, connected with the existence of other particles. The obtained results are in accordance with the field theory. On the basis of the field approach the influence of the effects of many particle relativistic screening on the contact, spin-spin and spin-orbital interactions are considered. The relativistic corrections of the atom interactions are found with the accounting for medium influence.