@article{ŚlęzakMetzlerMagdziarz2018, author = {Ślęzak, Jakub and Metzler, Ralf and Magdziarz, Marcin}, title = {Superstatistical generalised Langevin equation}, series = {New Journal of Physics}, volume = {20}, journal = {New Journal of Physics}, number = {023026}, publisher = {Deutsche Physikalische Gesellschaft / Institute of Physics}, address = {Bad Honnef und London}, issn = {1367-2630}, doi = {10.1088/1367-2630/aaa3d4}, pages = {1 -- 25}, year = {2018}, abstract = {Recent advances in single particle tracking and supercomputing techniques demonstrate the emergence of normal or anomalous, viscoelastic diffusion in conjunction with non-Gaussian distributions in soft, biological, and active matter systems. We here formulate a stochastic model based on a generalised Langevin equation in which non-Gaussian shapes of the probability density function and normal or anomalous diffusion have a common origin, namely a random parametrisation of the stochastic force. We perform a detailed analysis demonstrating how various types of parameter distributions for the memory kernel result in exponential, power law, or power-log law tails of the memory functions. The studied system is also shown to exhibit a further unusual property: the velocity has a Gaussian one point probability density but non-Gaussian joint distributions. This behaviour is reflected in the relaxation from a Gaussian to a non-Gaussian distribution observed for the position variable. We show that our theoretical results are in excellent agreement with stochastic simulations.}, language = {en} } @book{OPUS4-11084, title = {Physik Methodik : Handbuch f{\"u}r die Sekundarstufe I und II}, editor = {Mikelskis-Seifert, Silke and Rabe, Thorid}, publisher = {Cornelsen}, address = {Berlin}, isbn = {978-3-589-22377-0}, pages = {240 S.}, year = {2007}, language = {de} } @book{OPUS4-11736, title = {Physik-Didaktik : Praxishandbuch f{\"u}r die Sekundarstufe I und II}, editor = {Mikelskis, Helmut F.}, publisher = {Cornelsen Scriptor}, address = {Berlin}, isbn = {3-589-22148-8}, pages = {288 S.}, year = {2006}, language = {de} } @book{OPUS4-14031, title = {Adieu plus : comprension auditiva y visual de clases magistrales ; 14 CD-ROM}, series = {Arqueolog{\´i}a 02}, volume = {2}, journal = {Arqueolog{\´i}a 02}, editor = {Mendes, Alexanda Navas and Vazquez, Graciela}, publisher = {Univ.-Verl.}, address = {Potsdam}, isbn = {3-935024-93-2}, year = {2004}, language = {es} } @book{OPUS4-16878, title = {Physik plus : Kl. 7, Arbeitsh., Brandenburg}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020752-6}, pages = {24 S.}, year = {2002}, language = {de} } @book{OPUS4-16881, title = {Physik plus : Kl. 9/10, Arbeitsh., Gymnasium Sachsen-Anhalt}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020982-0}, pages = {64 S.}, year = {2002}, language = {de} } @book{OPUS4-16882, title = {Physik plus : Kl. 10, Arbeitsh., Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-021016-0}, pages = {32 S.}, year = {2002}, language = {de} } @book{OPUS4-16883, title = {Physik plus : Kl. 10, Arbeitsh., Gymnasium Th{\"u}ringen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk und Wissen}, address = {Berlin}, isbn = {3-06-020018-7}, pages = {40 S.}, year = {2002}, language = {de} } @book{OPUS4-16884, title = {Physik plus : Kl. 9, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020986-3}, pages = {48 S.}, year = {2002}, language = {de} } @book{OPUS4-16885, title = {Physik plus : Kl. 10, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-021019-5}, pages = {48 S.}, year = {2002}, language = {de} } @book{OPUS4-16886, title = {Physik plus : Kl. 7, [Hauptbd.], Sek. 1 Brandenburg}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020749-6}, pages = {104 S.}, year = {2002}, language = {de} } @book{OPUS4-23833, title = {Ultrad{\"u}nne organische Pyrosensoren : Stand und Entwicklungen}, year = {1997}, language = {de} } @book{OPUS4-25812, title = {BESSY Jahresberichte (1990) - (1995)}, editor = {Neißendorfer, Frank}, publisher = {BESSY}, address = {Berlin}, year = {1996}, language = {de} } @book{OPUS4-22334, title = {Physik plus : Kl. 6, Arbeitsh., Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020643-0}, pages = {40 S.}, year = {1998}, language = {de} } @book{OPUS4-22335, title = {Physik plus : Kl. 6, [Hauptbd.], Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020641-4}, pages = {120 S.}, year = {1998}, language = {de} } @book{OPUS4-22336, title = {Physik plus : Kl. 6, Lehrerbd., mit Kopiervorlagen, Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-022240-1}, pages = {60 S.}, year = {1998}, language = {de} } @book{OPUS4-18159, title = {Physik : Kl. 8, [Hauptbd.], Regelschule Th{\"u}ringen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020829-8}, pages = {120 S.}, year = {2001}, language = {de} } @book{OPUS4-18160, title = {Physik plus : Kl. 7/8, Arbeitsh., Gymnasium Sachsen-Anhalt}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020770-4}, pages = {64 S.}, year = {2001}, language = {de} } @book{OPUS4-18312, title = {Physik : Kl. 7/8, Lehrerbd., Sekundarschule Sachsen-Anhalt}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-022271-1}, pages = {136 S.}, year = {2001}, language = {de} } @book{OPUS4-18299, title = {Physik plus : Kl. 9, Arbeitsh., Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020948-0}, pages = {48 S.}, year = {2001}, language = {de} } @book{OPUS4-18305, title = {Physik : Kl. 7, Arbeitsh., Regelschule Th{\"u}ringen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020738-0}, pages = {32 S.}, year = {2001}, language = {de} } @book{OPUS4-18283, title = {Physik plus : Kl. 9, [Hauptbd.], Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-020947-2}, pages = {120 S.}, year = {2001}, language = {de} } @book{OPUS4-19934, title = {Physik plus : mit f{\"a}cher{\"u}bergreifenden Themen und Projektangeboten ; Kl. 7/8, [Hauptbd.], Sek. 1 Mecklenburg-Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020745-3}, pages = {232 S.}, year = {2000}, language = {de} } @book{OPUS4-19939, title = {Physik plus : Kl. 7/8, Lehrerbd., mit Kopiervorlagen, Gymnasium Sachsen-Anhalt}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Cornelsen}, address = {Berlin}, isbn = {3-06-022260-6}, pages = {104 S.}, year = {2000}, language = {de} } @book{OPUS4-19944, title = {Physik plus : Kl. 8, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020842-5}, pages = {40 S.}, year = {2000}, language = {de} } @book{OPUS4-19945, title = {Physik plus : Kl. 7, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020772-0}, pages = {40 S.}, year = {2000}, language = {de} } @book{OPUS4-19872, title = {Physik plus : Kl. 7/8, Lehrerbd., mit Kopiervorlagen und L{\"o}sungen zu den Arbeitsheften, Sek. 1 Mecklenburg- Vorpommern}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-022262-2}, pages = {114 S.}, year = {2000}, language = {de} } @book{OPUS4-20663, title = {Materials science and engineering / C}, editor = {Brehmer, Ludwig and Schrader, Sigurd and W{\"u}stneck, Rainer}, year = {1999}, language = {en} } @book{OPUS4-20800, title = {Physik plus : Kl. 7, Arbeitsh., Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020748-8}, pages = {40 S.}, year = {1999}, language = {de} } @book{OPUS4-20801, title = {Physik plus : Kl. 8, Arbeitsh., Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020826-3}, pages = {40 S.}, year = {1999}, language = {de} } @book{OPUS4-20802, title = {Physik plus : Kl. 7/8, Lehrerbd., mit Kopiervorlagen, Sek. 1 Sachsen}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-022245-2}, pages = {93 S.}, year = {1999}, language = {de} } @book{OPUS4-20804, title = {Physik plus : Kl. 6, [Hauptbd.], F{\"o}rderstufe Sachsen-Anhalt}, editor = {Mikelskis, Helmut and Wilke, Hans-Joachim}, publisher = {Volk-und-Wissen-Verl.}, address = {Berlin}, isbn = {3-06-020642-2}, pages = {120 S.}, year = {1999}, language = {de} } @book{OPUS4-20394, title = {Electrets : Bd. 2}, editor = {Gerhard, Reimund}, edition = {3. ed.}, publisher = {Laplacian Press}, address = {Morgan Hill, Calif.}, isbn = {1-885540-09-4}, pages = {XVIII, 338 S.}, year = {1999}, language = {en} }