TY  - JOUR
A1  - Ślęzak, Jakub
A1  - Metzler, Ralf
A1  - Magdziarz, Marcin
T1  - Superstatistical generalised Langevin equation
BT  - non-Gaussian viscoelastic anomalous diffusion
JF  - New Journal of Physics
N2  - 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.
KW  - anomalous diffusion
KW  - generalised langevin equation
KW  - superstatistics
KW  - non-Gaussian diffusion
Y1  - 2018
U6  - https://doi.org/10.1088/1367-2630/aaa3d4
SN  - 1367-2630
VL  - 20
IS  - 023026
SP  - 1
EP  - 25
PB  - Deutsche Physikalische Gesellschaft / Institute of Physics
CY  - Bad Honnef und London
ER  - 
TY  - BOOK
ED  - Mikelskis-Seifert, Silke
ED  - Rabe, Thorid
T1  - Physik Methodik : Handbuch für die Sekundarstufe I und II
Y1  - 2007
SN  - 978-3-589-22377-0
PB  - Cornelsen
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut F.
T1  - Physik-Didaktik : Praxishandbuch für die Sekundarstufe I und II
Y1  - 2006
SN  - 3-589-22148-8
PB  - Cornelsen Scriptor
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mendes, Alexanda Navas
ED  - Vazquez, Graciela
T1  - Adieu plus : comprension auditiva y visual de clases magistrales ; 14 CD-ROM
T3  - Arqueología 02
Y1  - 2004
SN  - 3-935024-93-2
VL  - 2
PB  - Univ.-Verl.
CY  - Potsdam
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 7, Arbeitsh., Brandenburg
Y1  - 2002
SN  - 3-06-020752-6
PB  - Cornelsen
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 9/10, Arbeitsh., Gymnasium Sachsen-Anhalt
Y1  - 2002
SN  - 3-06-020982-0
PB  - Volk-und-Wissen-Verl.
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 10, Arbeitsh., Sek. 1 Sachsen
Y1  - 2002
SN  - 3-06-021016-0
PB  - Cornelsen
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 10, Arbeitsh., Gymnasium Thüringen
Y1  - 2002
SN  - 3-06-020018-7
PB  - Volk und Wissen
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 9, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern
Y1  - 2002
SN  - 3-06-020986-3
PB  - Volk-und-Wissen-Verl.
CY  - Berlin
ER  - 
TY  - BOOK
ED  - Mikelskis, Helmut
ED  - Wilke, Hans-Joachim
T1  - Physik plus : Kl. 10, Arbeitsh., Sek. 1 Mecklenburg-Vorpommern
Y1  - 2002
SN  - 3-06-021019-5
PB  - Volk-und-Wissen-Verl.
CY  - Berlin
ER  -