TY - JOUR
T1 - Membrane undulations in a structured fluid
T2 - Universal dynamics at intermediate length and time scales
AU - Granek, Rony
AU - Diamant, Haim
N1 - Funding Information:
We are grateful to the Telluride Science Research Center for its hospitality during a workshop where this work was initiated. We thank Shigeyuki Komura, Yael Roichman, Pierre Sens, and Matthiew Turner for helpful comments. HD has been supported by the Israel Science Foundation (Grant No. 164/14).
Publisher Copyright:
© 2018, EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - Abstract.: The dynamics of membrane undulations inside a viscous solvent is governed by distinctive, anomalous, power laws. Inside a viscoelastic continuous medium these universal behaviors are modified by the specific bulk viscoelastic spectrum. Yet, in structured fluids the continuum limit is reached only beyond a characteristic correlation length. We study the crossover to this asymptotic bulk dynamics. The analysis relies on a recent generalization of the hydrodynamic interaction in structured fluids, which shows a slow spatial decay of the interaction toward the bulk limit. For membranes which are weakly coupled to the structured medium we find a wide crossover regime characterized by different, universal, dynamic power laws. We discuss various systems for which this behavior is relevant, and delineate the time regime over which it may be observed. Graphical abstract: [Figure not available: see fulltext.].
AB - Abstract.: The dynamics of membrane undulations inside a viscous solvent is governed by distinctive, anomalous, power laws. Inside a viscoelastic continuous medium these universal behaviors are modified by the specific bulk viscoelastic spectrum. Yet, in structured fluids the continuum limit is reached only beyond a characteristic correlation length. We study the crossover to this asymptotic bulk dynamics. The analysis relies on a recent generalization of the hydrodynamic interaction in structured fluids, which shows a slow spatial decay of the interaction toward the bulk limit. For membranes which are weakly coupled to the structured medium we find a wide crossover regime characterized by different, universal, dynamic power laws. We discuss various systems for which this behavior is relevant, and delineate the time regime over which it may be observed. Graphical abstract: [Figure not available: see fulltext.].
KW - Polymers: From Adsorption to Translocation - Topical Issue in Memoriam Loïc Auvray (1956-2016)
UR - http://www.scopus.com/inward/record.url?scp=85040115045&partnerID=8YFLogxK
U2 - 10.1140/epje/i2018-11607-x
DO - 10.1140/epje/i2018-11607-x
M3 - Article
C2 - 29299703
AN - SCOPUS:85040115045
SN - 1292-8941
VL - 41
JO - European Physical Journal E
JF - European Physical Journal E
IS - 1
M1 - 1
ER -