Through general theoretical considerations, based only on the Markoffian assumption, it is shown that equilibrium non-gaussian properties can be used to predict how the decay of excited states deviates from a linear response theory behaviour. To check this prediction, a computer experiment on a ‘two-dimensional liquid’ of discs interacting via a Lennard-Jones plus electric dipole potential is carried out. The results obtained for both equilibrium and excited correlation functions confirm completely the intimate relation between equilibrium non-gaussian properties and excitation behaviour.Via approximate analytical expressions and exact solutions, it is also shown that a non-linear version of the popular itinerant oscillator provides the same equilibrium non-gaussian properties and, in consequence of that, the same kind of deviation from linear response as the two-dimensional system.

Non-linear effects in rotational dynamics in the liquid state / Ferrario, Mauro; Paolo, Grigolini; Marco, Leoncini; Lucio, Pardi; Alessandro, Tani. - In: MOLECULAR PHYSICS. - ISSN 0026-8976. - STAMPA. - 53:(1984), pp. 1251-1272. [10.1080/00268978400102981]

Non-linear effects in rotational dynamics in the liquid state

FERRARIO, Mauro;
1984

Abstract

Through general theoretical considerations, based only on the Markoffian assumption, it is shown that equilibrium non-gaussian properties can be used to predict how the decay of excited states deviates from a linear response theory behaviour. To check this prediction, a computer experiment on a ‘two-dimensional liquid’ of discs interacting via a Lennard-Jones plus electric dipole potential is carried out. The results obtained for both equilibrium and excited correlation functions confirm completely the intimate relation between equilibrium non-gaussian properties and excitation behaviour.Via approximate analytical expressions and exact solutions, it is also shown that a non-linear version of the popular itinerant oscillator provides the same equilibrium non-gaussian properties and, in consequence of that, the same kind of deviation from linear response as the two-dimensional system.
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Non-linear effects in rotational dynamics in the liquid state / Ferrario, Mauro; Paolo, Grigolini; Marco, Leoncini; Lucio, Pardi; Alessandro, Tani. - In: MOLECULAR PHYSICS. - ISSN 0026-8976. - STAMPA. - 53:(1984), pp. 1251-1272. [10.1080/00268978400102981]
Ferrario, Mauro; Paolo, Grigolini; Marco, Leoncini; Lucio, Pardi; Alessandro, Tani
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/739853
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