Takuma Akimoto

Takuma Akimoto（秋元　琢磨）

2012-10-14T23:11:25+09:00

Takuma Akimoto（秋元　琢磨） My page moves to http://akimototakuma.wordpress.com/

Publications

2012-09-21T09:42:49+09:00

**2012 - T. Uneyama, T. Akimoto, T. Miyaguchi, "Crossover Time in Relative Fluctuations Characterizes the Longest Relaxation Time of Entangled Polymers", [[J. Chem. Phys. 137, 114903 (2012)>>http://jcp.aip.org/resource/1/jcpsa6/v137/i11/p114903_s1?isAuthorized=no&ver=pdfcov]] - E. Yamamoto,T. Akimoto, H. Shimizu, Y. Hirano, M. Yasui, and K. Yasuoka, "Diffusive Nature of Xenon Anesthetic Changes Properties of a Lipid Bilayer: Molecular Dynamics Simulations", [[J. Phys. B 116, 8989 (2012)>>http://pubs.acs.org/doi/abs/10.1021/jp303330c]] - T. Akimoto, "Distributional response to biases in deterministic superdiffusion", [[Phys. Rev. Lett. 108, 164101 (2012)>>http://prl.aps.org/abstract/PRL/v108/i16/e164101]] (&color(red){selected for a publication in Virtual Journal of Biological Physics Research}) - T. Hasumi, C. Chen, T. Akimoto and Y. Aizawa, "The Weibull – Log-Weibull Transition of Interoccurrence Time of Earthquakes", [[Earthquake Research and Analysis - Statistical Studies, Observations and Planning, Sebastiano D'Amico (Ed.), ISBN: 978-953-51-0134-5, InTech (2012)>>http://www.intechopen.com/articles/show/title/the-weibull-log-weibull-statistics-of-interoccurrence-times-of-earthquakes]] - T. Akimoto, "Generalization of the Einstein relation for single trajectories in deterministic subdiffusion", [[Phys. Rev. E 85, 021110 (2012)>>http://pre.aps.org/abstract/PRE/v85/i2/e021110]] **2011 - T. Kaneko, T. Akimoto, K. Yasuoka, A. Mitsutake, X. Zeng, Size Dependent Phase Changes in Water Clusters, [[J. Chem. Theory Comput. 7, 3083 (2011)>>http://pubs.acs.org/doi/abs/10.1021/ct200458m]] (&color(red){Top 20 most downloaded articles over the last 12 months}) - T. Akimoto, E. Yamamoto, K. Yasuoka, Y. Hirano and M. Yasui, Non-Gaussian fluctuations resulting from power-law trapping in a lipid bilayer, [[Phys. Rev. Lett. 107, 178103 (2011)>>http://prl.aps.org/abstract/PRL/v107/i17/e178103]]. (&color(red){selected for a publication in Virtual Journal of Biological Physics Research and see also JST News [[in Englsih>>http://multi.jst.go.jp/en/topics/20111214%28en%29-yamamoto.html]] and [[in Japanese>>http://multi.jst.go.jp/topics/20111214-yamamoto.html]]}) - T. Miyaguchi and T. Akimoto, "Ultraslow Convergence to Ergodicity in Transient Subdiffusion", [[Phys. Rev. E 83, 062101 (2011)>>http://pre.aps.org/abstract/PRE/v83/i6/e062101]]. (&color(red){selected for a publication in Virtual Journal of Biological Physics Research}) - T. Miyaguchi and T. Akimoto, "Intrinsic Randomness of Transport Coefficient in Subdiffusion with Static Disorder", [[Phys. Rev. E 83, 031926 (2011)>>http://pre.aps.org/abstract/PRE/v83/i3/e031926]]. (&color(red){selected for a publication in Virtual Journal of Biological Physics Research}) **2010 - T. Akimoto and T. Miyaguchi, "Role of infinite invariant measure in deterministic subdiffusion", [[Phys. Rev. E 82, 030102(R) (2010)>>http://pre.aps.org/abstract/PRE/v82/i3/e030102]]. (&color(red){selected for a publication in Virtual Journal of Biological Physics Research}) - T. Akimoto and Y. Aizawa, "Subexponential instability in one-dimensional maps implies infinite invariant measure", [[Chaos 20, 033110 (2010)>>http://chaos.aip.org/resource/1/chaoeh/v20/i3/p033110_s1]]. (&color(red){Top 20 Most Downloaded Articles, September 2010}) - T. Hasumi, C. Chen, T. Akimoto and Y. Aizawa, "The Weibull–log Weibull transition of interoccurrence time for synthetic and natural earthquakes", Tectonophysics 485, 9 (2010). - T. Akimoto, T. Hasumi, and Y. Aizawa, "Characterization of intermittency in renewal processes: Application to earthquakes", [[Phys. Rev. E 81, 031133 (2010)>>http://pre.aps.org/abstract/PRE/v81/i3/e031133]]. **2009 - T. Hasumi, T. Akimoto and Y. Aizawa, "The Weibull - log Weibull distribution for interoccurrence times of earthquakes", Physica A 388, 491 (2009). - T. Hasumi, T. Akimoto and Y. Aizawa, "The Weibull - log Weibull transition of the interoccurrence time statistics in the two-dimensional Burridge-Knopoff earthquake model", Physica A 388, 483 (2009). **2008 - T. Akimoto, "Generalized Arcsine Law and Stable Law in an Infinite Measure Dynamical System", [[J. Stat. Phys. 132, 171 (2008)>>http://www.springerlink.com/content/l3r1tp8g63q17371/referrers/]]. - T. Akimoto, ”On the definition of equilibrium and non-equilibrium states in dynamical systems”, [[AIP Conf. Proc. 1076, 5 (2008)>>http://scitation.aip.org/dbt/dbt.jsp?KEY=APCPCS&Volume=1076&Issue=1]]. **2007 - T. Akimoto and Y. Aizawa, "New Aspects of the Correlation Functions in Non-Hyperbolic Chaotic Systems", [[J. Korean Phys. Soc. 50, 254 (2007)>>http://www.kps.or.kr/jkps/abstract_view.asp?articleuid=54372C3B-CA45-404D-A266-F76F9A04FDA3]]. **2006 - T. Akimoto and Y. Aizawa, "Scaling Exponents of the Slow Relaxation in Non-hyperbolic Chaotic Dynamics", Nonlinear Phenom. Complex Syst. 9, 178 (2006). - T. Akimoto and Y. Aizawa, "The breakdown of the adiabaticity in the stationary-nonstationary chaos transition process", [[J. Phys.: Conf. Ser. 31, 209 (2006)>>http://iopscience.iop.org/1742-6596/31/1/057]]. - T. Akimoto and Y. Aizawa, "Weibull and Log-Weibull Laws in the Stationary-Nonstationary Chaos Transition Process", [[Prog. Theor. Phys. Suppl. 161, 148 (2006)>>http://ptp.ipap.jp/link?PTPS/161/148/]]. **2005 - T. Akimoto and Y. Aizawa, "Large Fluctuations in the Stationary-Nonstationary Chaos Transition", [[Prog. Theor. Phys. 114, 737 (2005)>>http://ptp.ipap.jp/link?PTP/114/737/]]. **2003 - T. Akimoto and Y. Aizawa, "Logarithmic Scaling in the Stationary-Nonstationary Chaos Transition", [[Prog. Theor. Phys. 110, 849 (2003)>>http://ptp.ipap.jp/link?PTP/110/849/]].

Link

2012-09-21T09:36:58+09:00

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Curriculum Vitae

2012-07-03T10:17:14+09:00

I was born on October 6, 1977 in Tokyo, Japan. I studied physics in Waseda university, and then graduated in 2001. I obtained PhD in 2007. The title of my PhD thesis is "Ergodic problems in non-stationary chaotic dynamical systems", where I provided the distributional limit theorems in time averaged observables. I spent three years as an assistant professor in Waseda university. From 2010 to 2012, I was a postdoc in Keio university ([[Multiscale Simulations for Softmatters>>http://multiscale.jp/index.php?FrontPage]]). Since 2012, I am a lecture in [[Keio University Global Environmental System Leaders Program>>http://gesl.sfc.keio.ac.jp/en/index.html]]. Lists of my achievements are available [[here>>http://www26.atwiki.jp/akimoto771006/?cmd=upload&act=open&page=Curriculum%20Vitae&file=listofach.pdf]]. 1997-2001: Department of Applied Physics, Faculty of Science and Engineering, Waseda University (Bachelor) 2001-2003: Department of Applied Physics, Faculty of Science and Engineering, Waseda University (Master) 2003-2007: Department of Applied Physics, Faculty of Science and Engineering, Waseda University (PhD) 2007-2010: Department of Applied Physics, Faculty of Science and Engineering, Waseda University (Assistant Prof.) 2010-2012 : Department of Mechanical Engineering, Keio University ([[Research]] Assistant Prof.) 2012-: Faculty of Science and Engineering, Keio University (Lecturer)

Research

2012-06-18T12:11:53+09:00

- Infinite ergodic theory Infinite ergodic theory has been progressed by mathematicians. In particular, Jon Aaroson has showed a distributional limit theorem for the time average of the L^1 function (Mittag-Leffler distribution), and Maximilian Thaler has showed another distributional limit theorem for the time average of a characteristic function (Generalized arcsine distribution). In [[my paper>>http://www.springerlink.com/content/l3r1tp8g63q17371/referrers/]], I show the generalized arcsine law and stable law for the time average of the non-$L^1$ function. From the viewpoint of physics, these distributional limit behaviour would be closely related to random behaviour of macroscopic observables in nature. Infinite ergodic theory could provide a new framework of ergodicity in statistical mechanics. - Anomalous diffusion Anomalous diffusion is characterized by nonlinear scaling of the mean square displacement (MSD), which is classified into two anomalous diffusions. Subdiffusion: MSD increases slower than normal diffusion. Superdiffusion: MSD increases faster than normal diffusion. Using infinite ergodic theory, I show that a distributional limit behaviour exists in the time-averaged diffusion coefficient. Namely, the diffusion coefficients are random variables. In particular, [[the Mittag-Leffler distribution>>http://pre.aps.org/abstract/PRE/v82/i3/e030102]] and [[the generalized arcsine distribution>>http://prl.aps.org/abstract/PRL/v108/i16/e164101]] are observed in subdiffusion and superdiffusion, respectively. - Earthquakes We study interevent times between the occurrence of earthquakes. In [[ our studies>>http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVG-4TTMNC1-4&_user=957266&_coverDate=02%2F15%2F2009&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_searchStrId=1434159017&_rerunOrigin=scholar.google&_acct=C000049184&_version=1&_urlVersion=0&_userid=957266&md5=cb67a3a562989e0e1bd6bd97d5eedcfb]], we find that the distribution of interevent times obeys the superposition of the Weibull and log-Weibull distributions. Using a one-dimensional map, we characterize the intermittency of the occurrence of earthquakes. Generally, the occurrence of earthquakes can not be described as a Markov process. In [[the paper>>http://pre.aps.org/abstract/PRE/v81/i3/e031133]], we show that the occurrence of earthquakes can be described as a semi-Markov or Markov renewal process by the return map of interevent times.

メニュー

2011-10-11T15:19:55+09:00

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2010-08-26T22:21:57+09:00

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2010-08-26T22:09:31+09:00

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2010-08-26T22:06:37+09:00

プラグイン/動画(Youtube)

2010-08-16T00:48:26+09:00

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