Matches in SemOpenAlex for { <https://semopenalex.org/work/W2327776908> ?p ?o ?g. }
- W2327776908 abstract "Many-particle effects in escapes of hard disks from a square box via a hole are discussed in a viewpoint of dynamical systems. Starting from $N$ disks in the box at the initial time, we calculate the probability ${P}_{n}(t)$ for at least $n$ disks to remain inside the box at time $t$ for $n=1,2,...,N$. At early times, the probabilities ${P}_{n}(t),phantom{rule{0.16em}{0ex}}n=2,3,...,Nensuremath{-}1$, are described by superpositions of exponential decay functions. On the other hand, after a long time the probability ${P}_{n}(t)$ shows a power-law decay $ensuremath{sim}{t}^{ensuremath{-}2n}$ for $nensuremath{ne}1$, in contrast to the fact that it decays with a different power law $ensuremath{sim}{t}^{ensuremath{-}n}$ for cases without any disk-disk collision. Chaotic or nonchaotic properties of the escape systems are discussed by the dynamics of a finite-time largest Lyapunov exponent, whose decay properties are related with those of the probability ${P}_{n}(t)$." @default.
- W2327776908 created "2016-06-24" @default.
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- W2327776908 date "2014-11-26" @default.
- W2327776908 modified "2023-10-17" @default.
- W2327776908 title "Escape dynamics of many hard disks" @default.
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- W2327776908 doi "https://doi.org/10.1103/physreve.90.052923" @default.
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