Dynamics of dense discrete systems: high order effects

P. Rosenau

Dynamics of dense discrete systems: high order effects

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The quasi-continuous formalism introduced in previous works to treat discrete systems in close to continuous conditions, is extended to include higher order discrete effects. These effects not only provide a more faithful description of the discrete problem, but for some systems are shown to be crucial for a proper description of their dynamics. Concrete examples of such systems are provided. Their dynamics is governed by new equations of motion. Typically; u_t∓[u+u²]_x+u_xxxxt=0 and the last term models the high order discrete effect.

Original language	English
Pages (from-to)	1028 - 42
Journal	Progress of Theoretical Physics
Volume	79
Issue number	5
State	Published - 1988

Keywords

classical mechanics of discrete systems
lattice theory and statistics
random processes
vibrations

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http://dx.doi.org/10.1143/PTP.79.1028

Cite this

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title = "Dynamics of dense discrete systems: high order effects",

abstract = "The quasi-continuous formalism introduced in previous works to treat discrete systems in close to continuous conditions, is extended to include higher order discrete effects. These effects not only provide a more faithful description of the discrete problem, but for some systems are shown to be crucial for a proper description of their dynamics. Concrete examples of such systems are provided. Their dynamics is governed by new equations of motion. Typically; ut∓[u+u2]x+uxxxxt=0 and the last term models the high order discrete effect.",

keywords = "classical mechanics of discrete systems, lattice theory and statistics, random processes, vibrations",

author = "P. Rosenau",

note = "string vibrations;dense discrete systems;quasi-continuous formalism;higher order discrete effects;equations of motion;",

year = "1988",

language = "אנגלית",

volume = "79",

pages = "1028 -- 42",

journal = "Progress of Theoretical Physics",

issn = "0033-068X",

publisher = "Yukawa Institute for Theoretical Physics",

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AU - Rosenau, P.

N1 - string vibrations;dense discrete systems;quasi-continuous formalism;higher order discrete effects;equations of motion;

PY - 1988

Y1 - 1988

N2 - The quasi-continuous formalism introduced in previous works to treat discrete systems in close to continuous conditions, is extended to include higher order discrete effects. These effects not only provide a more faithful description of the discrete problem, but for some systems are shown to be crucial for a proper description of their dynamics. Concrete examples of such systems are provided. Their dynamics is governed by new equations of motion. Typically; ut∓[u+u2]x+uxxxxt=0 and the last term models the high order discrete effect.

AB - The quasi-continuous formalism introduced in previous works to treat discrete systems in close to continuous conditions, is extended to include higher order discrete effects. These effects not only provide a more faithful description of the discrete problem, but for some systems are shown to be crucial for a proper description of their dynamics. Concrete examples of such systems are provided. Their dynamics is governed by new equations of motion. Typically; ut∓[u+u2]x+uxxxxt=0 and the last term models the high order discrete effect.

KW - classical mechanics of discrete systems

KW - lattice theory and statistics

KW - random processes

KW - vibrations

M3 - מאמר

VL - 79

SP - 1028

EP - 1042

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 5

ER -

Dynamics of dense discrete systems: high order effects

Abstract

Keywords

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