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- W191856670 abstract "The text of this paper corresponds to the talk given at the First International Conference on Non-potential Interactions and their Lie-admissible Treatment under the heading Short-range Interactions and T-symmetry breaking in Statistical Mechanics. The aim of this talk was to show that the idea of overlapping associated with short-range interactions allows one very simply to introduce irreversibility into the reversible laws of evolution deduced from Hamiltonian mechanics and in a way that shows itself finally to be correct. In order to do this we adopted the principle which is the basis of the work of this Conference. This is that, although the description of a set of interacting particles by local potential theories is justified when these particles may be considered as points, i.e., when only long-range interactions occur, it is no longer possible to ignore the finite size and mutual overlap of the particles when short-range interactions take place, and in this latter case a description involving non-local non-potential terms is required. Thus, on one hand, we recall that when a variation is observed in the individual state of a body in short-range interaction, the notion of overlapping expresses itself by the existence of a non-arbitrary small time interval,more » and, on the other hand, we show that this finite time interval brings out a non-locality in time that breaks the reversibility. Starting from the first equation in the reversible BBGKY sequence, we obtained in this way a new, irreversible equation, which seems to be well adapted to the description of evolution phenomena in Statistical Mechanics since it reduces to the Boltzmann Equation when the general conditions of validity of the latter are satisfied.« less" @default.
- W191856670 created "2016-06-24" @default.
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- W191856670 date "1982-04-01" @default.
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- W191856670 title "Short-range interactions and irreversibility in statistical mechanics" @default.
- W191856670 hasPublicationYear "1982" @default.
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