{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:02:00Z","timestamp":1648933320762},"reference-count":31,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2002,2]]},"abstract":"<jats:p> In the present work we performed an analysis of time series of instantaneous temperature and pressure produced during constant temperature molecular dynamics. Simulations were applied to a nickel oxide grain boundary for a temperature range 0.15-0.80T<jats:sub>m<\/jats:sub>, T<jats:sub>m<\/jats:sub> being the melting point of the system. We performed a series of analysis for these time series including test for randomness, power spectrum, Hurst exponent and structure function test. Evidence of fractional Brownian motion was found. Pressure presents 1\/f over the whole range of frequencies of the system while temperature presents a two-regime behavior: white noise at low frequencies and 1\/f<jats:sup>\u03b1<\/jats:sup> at high frequencies with \u03b1 increasing as a function of temperature. The origins of this behavior are discussed. <\/jats:p>","DOI":"10.1142\/s0218127402004383","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T06:58:59Z","timestamp":1027753139000},"page":"377-388","source":"Crossref","is-referenced-by-count":2,"title":["A FRACTIONAL BROWNIAN MOTION MODEL FOR TIME SERIES PRODUCED BY CONSTANT TEMPERATURE MOLECULAR DYNAMICS SIMULATIONS"],"prefix":"10.1142","volume":"12","author":[{"given":"THEODOROS E.","family":"KARAKASIDIS","sequence":"first","affiliation":[{"name":"Department of Civil Engineering, University of Thessaly,  Volos 38334, Greece"}]},{"given":"IOANNIS","family":"ANDREADIS","sequence":"additional","affiliation":[{"name":"Center for Research and Applications of Nonlinear  Systems, University of Patras, 26500 Patras, Greece"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Computer Simulation of Liquids","author":"Allen M. 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