Thermally fluctuating, semiflexible sheets in simple shear flow

Silmore, Kevin S.; Strano, Michael S.; Swan, James W.

doi:10.1039/D1SM01510A

Title: Thermally fluctuating, semiflexible sheets in simple shear flow

Journal Article · 25 January 2022 · Soft Matter

DOI: https://doi.org/10.1039/D1SM01510A · OSTI ID:1838377

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Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA

Fluctuating semiflexible sheets dispersed in a fluid are simulated under simple shear flow. A dynamical crumpling transition is observed, flipping statistics are quantified, and rheological properties are estimated for dilute suspensions of sheets.

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Research Organization:: Krell Institute, Ames, IA (United States); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: FG02-08ER46488; FG02-97ER25308

OSTI ID:: 1838377

Journal Information:: Soft Matter, Journal Name: Soft Matter Journal Issue: 4 Vol. 18; ISSN SMOABF; ISSN 1744-683X

Publisher:: Royal Society of Chemistry (RSC)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

References (78)

Towards scale-up of graphene production via nonoxidizing liquid exfoliation methods Stafford, Jason; Patapas, Andrius; Uzo, Nwachukwu AIChE Journal, Vol. 64, Issue 9 https://doi.org/10.1002/aic.16174	journal	April 2018
Brownian dynamics simulation of two-dimensional nanosheets under biaxial extensional flow Xu, Yueyi; Green, Micah J. Journal of Polymer Science Part B: Polymer Physics, Vol. 53, Issue 17 https://doi.org/10.1002/polb.23760	journal	June 2015
Universality classes of self-avoiding fixed-connectivity membranes Bowick, M. J.; Cacciuto, A.; Thorleifsson, G. The European Physical Journal E, Vol. 5, Issue 2 https://doi.org/10.1007/s101890170071	journal	May 2001
Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements Pennec, Xavier Journal of Mathematical Imaging and Vision, Vol. 25, Issue 1 https://doi.org/10.1007/s10851-006-6228-4	journal	July 2006
Dispersion and Rheological Properties of Aqueous Graphene Suspensions in Presence of Nanocrystalline Cellulose Zhang, Xinqi; Tang, Yanjun; Wang, Xiaoyu Journal of Polymers and the Environment, Vol. 26, Issue 8 https://doi.org/10.1007/s10924-018-1237-0	journal	April 2018
Minimum-Volume Enclosing Ellipsoids and Core Sets Kumar, P.; Yildirim, E. A. Journal of Optimization Theory and Applications, Vol. 126, Issue 1 https://doi.org/10.1007/s10957-005-2653-6	journal	July 2005
Brownian dynamics simulations of model hard-sphere suspensions Heyes, D. M.; Melrose, J. R. Journal of Non-Newtonian Fluid Mechanics, Vol. 46, Issue 1 https://doi.org/10.1016/0377-0257(93)80001-R	journal	January 1993
Fluctuations of polymerized, fluid and hexatic membranes: Continuum models and simulations Gompper, Gerhard; Kroll, Daniel M. Current Opinion in Colloid & Interface Science, Vol. 2, Issue 4 https://doi.org/10.1016/S1359-0294(97)80079-9	journal	August 1997
Bending models of lipid bilayer membranes: Spontaneous curvature and area-difference elasticity Bian, Xin; Litvinov, Sergey; Koumoutsakos, Petros Computer Methods in Applied Mechanics and Engineering, Vol. 359 https://doi.org/10.1016/j.cma.2019.112758	journal	February 2020
HOOMD-blue: A Python package for high-performance molecular dynamics and hard particle Monte Carlo simulations Anderson, Joshua A.; Glaser, Jens; Glotzer, Sharon C. Computational Materials Science, Vol. 173 https://doi.org/10.1016/j.commatsci.2019.109363	journal	February 2020
Thermal buckling and symmetry breaking in thin ribbons under compression Hanakata, Paul Z.; Bhabesh, Sourav S.; Bowick, Mark J. Extreme Mechanics Letters, Vol. 44 https://doi.org/10.1016/j.eml.2021.101270	journal	April 2021
Buckling of thermalized elastic sheets Morshedifard, Ali; Ruiz-García, Miguel; Abdolhosseini Qomi, Mohammad Javad Journal of the Mechanics and Physics of Solids, Vol. 149 https://doi.org/10.1016/j.jmps.2021.104296	journal	April 2021
A Physical Introduction to Suspension Dynamics Guazzelli, Elisabeth; Morris, Jeffrey F.; Pic, Sylvie Cambridge University Press https://doi.org/10.1017/CBO9780511894671	book	January 2011
Polymer statistics in a random flow with mean shear Chertkov, M.; Kolokolov, I.; Lebedev, V. Journal of Fluid Mechanics, Vol. 531 https://doi.org/10.1017/S0022112005003939	journal	January 1999
The stress system in a suspension of force-free particles Batchelor, G. K. Journal of Fluid Mechanics, Vol. 41, Issue 3 https://doi.org/10.1017/S0022112070000745	journal	April 1970
Slender-body theory for particles of arbitrary cross-section in Stokes flow Batchelor, G. K. Journal of Fluid Mechanics, Vol. 44, Issue 3 https://doi.org/10.1017/S002211207000191X	journal	November 1970
The effect of weak Brownian rotations on particles in shear flow Leal, L. G.; Hinch, E. J. Journal of Fluid Mechanics, Vol. 46, Issue 4 https://doi.org/10.1017/S0022112071000788	journal	April 1971
The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles Hinch, E. J.; Leal, L. G. Journal of Fluid Mechanics, Vol. 52, Issue 4 https://doi.org/10.1017/S002211207200271X	journal	April 1972
Variational inequalities for a body in a viscous shearing flow Nir, A.; Weinberger, H. F.; Acrivos, A. Journal of Fluid Mechanics, Vol. 68, Issue 4 https://doi.org/10.1017/S0022112075001206	journal	April 1975
Rotation of small non-axisymmetric particles in a simple shear flow Hinch, E. J.; Leal, L. G. Journal of Fluid Mechanics, Vol. 92, Issue 3 https://doi.org/10.1017/S002211207900077X	journal	June 1979
Effect of hydrodynamic slip on the rotational dynamics of a thin Brownian platelet in shear flow Kamal, Catherine; Gravelle, Simon; Botto, Lorenzo Journal of Fluid Mechanics, Vol. 919 https://doi.org/10.1017/jfm.2021.327	journal	May 2021
Shear Rheology Control of Wrinkles and Patterns in Graphene Oxide Films Tardani, Franco; Neri, Wilfrid; Zakri, Cecile Langmuir, Vol. 34, Issue 9 https://doi.org/10.1021/acs.langmuir.7b04281	journal	February 2018
Conformational Scaling Relations of Two-Dimensional Macromolecular Graphene Oxide in Solution Li, Peng; Wang, Shijun; Meng, Fanxu Macromolecules, Vol. 53, Issue 23 https://doi.org/10.1021/acs.macromol.0c01425	journal	November 2020
Large-Scale Production of Size-Controlled MoS ₂ Nanosheets by Shear Exfoliation Varrla, Eswaraiah; Backes, Claudia; Paton, Keith R. Chemistry of Materials, Vol. 27, Issue 3 https://doi.org/10.1021/cm5044864	journal	January 2015
Crumpled and collapsed conformation in graphite oxide membranes Wen, Xin; Garland, Carl W.; Hwa, Terence Nature, Vol. 355, Issue 6359 https://doi.org/10.1038/355426a0	journal	January 1992
Thermal crumpling of perforated two-dimensional sheets Yllanes, David; Bhabesh, Sourav S.; Nelson, David R. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-01551-y	journal	November 2017
Hydrodynamic slip can align thin nanoplatelets in shear flow Kamal, Catherine; Gravelle, Simon; Botto, Lorenzo Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-15939-w	journal	May 2020
A model for the fragmentation kinetics of crumpled thin sheets Andrejevic, Jovana; Lee, Lisa M.; Rubinstein, Shmuel M. Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-021-21625-2	journal	March 2021
Autoperforation of 2D materials for generating two-terminal memristive Janus particles Liu, Pingwei; Liu, Albert Tianxiang; Kozawa, Daichi Nature Materials, Vol. 17, Issue 11 https://doi.org/10.1038/s41563-018-0197-z	journal	October 2018
Dynamics of Miura-patterned foldable sheets in shear flow Dutta, Sarit; Graham, Michael D. Soft Matter, Vol. 13, Issue 14 https://doi.org/10.1039/C6SM02113A	journal	January 2017
Exfoliation of layered materials using electrochemistry Ambrosi, Adriano; Pumera, Martin Chemical Society Reviews, Vol. 47, Issue 19 https://doi.org/10.1039/C7CS00811B	journal	January 2018
Coil–stretch-like transition of elastic sheets in extensional flows Yu, Yijiang; Graham, Michael D. Soft Matter, Vol. 17, Issue 3 https://doi.org/10.1039/D0SM01630F	journal	January 2021
Buckling, crumpling, and tumbling of semiflexible sheets in simple shear flow Silmore, Kevin S.; Strano, Michael S.; Swan, James W. Soft Matter, Vol. 17, Issue 18 https://doi.org/10.1039/D0SM02184A	journal	January 2021
Fluctuations in membranes with crystalline and hexatic order Nelson, D. R.; Peliti, L. Journal de Physique, Vol. 48, Issue 7 https://doi.org/10.1051/jphys:019870048070108500	journal	January 1987
Variational Treatment of Hydrodynamic Interaction in Polymers Rotne, Jens; Prager, Stephen The Journal of Chemical Physics, Vol. 50, Issue 11 https://doi.org/10.1063/1.1670977	journal	June 1969
Transport Properties of Polymer Chains in Dilute Solution: Hydrodynamic Interaction Yamakawa, Hiromi The Journal of Chemical Physics, Vol. 53, Issue 1 https://doi.org/10.1063/1.1673799	journal	July 1970
The Intrinsic Viscosities and Diffusion Constants of Flexible Macromolecules in Solution Kirkwood, John G.; Riseman, Jacob The Journal of Chemical Physics, Vol. 16, Issue 6 https://doi.org/10.1063/1.1746947	journal	June 1948
Brownian dynamics simulations of nanosheet solutions under shear Xu, Yueyi; Green, Micah J. The Journal of Chemical Physics, Vol. 141, Issue 2 https://doi.org/10.1063/1.4884821	journal	July 2014
Rapid calculation of hydrodynamic and transport properties in concentrated solutions of colloidal particles and macromolecules Swan, James W.; Wang, Gang Physics of Fluids, Vol. 28, Issue 1 https://doi.org/10.1063/1.4939581	journal	January 2016
Rapid sampling of stochastic displacements in Brownian dynamics simulations Fiore, Andrew M.; Balboa Usabiaga, Florencio; Donev, Aleksandar The Journal of Chemical Physics, Vol. 146, Issue 12 https://doi.org/10.1063/1.4978242	journal	March 2017
Collective mode Brownian dynamics: A method for fast relaxation of statistical ensembles Silmore, Kevin S.; Swan, James W. The Journal of Chemical Physics, Vol. 152, Issue 9 https://doi.org/10.1063/1.5129648	journal	March 2020
Superflexibility of graphene oxide Poulin, Philippe; Jalili, Rouhollah; Neri, Wilfrid Proceedings of the National Academy of Sciences, Vol. 113, Issue 40 https://doi.org/10.1073/pnas.1605121113	journal	September 2016
Achiral symmetry breaking and positive Gaussian modulus lead to scalloped colloidal membranes Gibaud, Thomas; Kaplan, C. Nadir; Sharma, Prerna Proceedings of the National Academy of Sciences, Vol. 114, Issue 17 https://doi.org/10.1073/pnas.1617043114	journal	April 2017
Equilibrium structure and deformation response of 2D kinetoplast sheets Klotz, Alexander R.; Soh, Beatrice W.; Doyle, Patrick S. Proceedings of the National Academy of Sciences, Vol. 117, Issue 1 https://doi.org/10.1073/pnas.1911088116	journal	December 2019
On the Validity of the Kirkwood-Riseman Theory Zwanzig, R.; Kiefer, J.; Weiss, G. H. Proceedings of the National Academy of Sciences, Vol. 60, Issue 2 https://doi.org/10.1073/pnas.60.2.381	journal	June 1968
The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid Jeffery, G. B. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 102, Issue 715 https://doi.org/10.1098/rspa.1922.0078	journal	November 1922
Absence of a crumpling transition in strongly self-avoiding tethered membranes Plischke, Michael; Boal, David Physical Review A, Vol. 38, Issue 9 https://doi.org/10.1103/PhysRevA.38.4943	journal	November 1988
Statistical mechanics of self-avoiding tethered manifolds Kardar, Mehran; Nelson, David R. Physical Review A, Vol. 38, Issue 2 https://doi.org/10.1103/PhysRevA.38.966	journal	July 1988
High-precision Fourier Monte Carlo simulation of crystalline membranes Tröster, A. Physical Review B, Vol. 87, Issue 10 https://doi.org/10.1103/PhysRevB.87.104112	journal	March 2013
Response of thermalized ribbons to pulling and bending Košmrlj, Andrej; Nelson, David R. Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.125431	journal	March 2016
Non-Hookean statistical mechanics of clamped graphene ribbons Bowick, Mark J.; Košmrlj, Andrej; Nelson, David R. Physical Review B, Vol. 95, Issue 10 https://doi.org/10.1103/PhysRevB.95.104109	journal	March 2017
Folding pathways to crumpling in thermalized elastic frames Yllanes, D.; Nelson, D. R.; Bowick, M. J. Physical Review E, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevE.100.042112	journal	October 2019
Thermalized buckling of isotropically compressed thin sheets Shankar, Suraj; Nelson, David R. Physical Review E, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevE.104.054141	journal	November 2021
Molecular dynamics simulations of self-avoiding tethered membranes with attractive interactions: Search for a crumpled phase Grest, Gary S.; Petsche, Irena B. Physical Review E, Vol. 50, Issue 3 https://doi.org/10.1103/PhysRevE.50.R1737	journal	September 1994
Anomalous dynamics of an elastic membrane in an active fluid Mallory, S. A.; Valeriani, C.; Cacciuto, A. Physical Review E, Vol. 92, Issue 1 https://doi.org/10.1103/PhysRevE.92.012314	journal	July 2015
Buckling transition of a semiflexible filament in extensional flow Manikantan, Harishankar; Saintillan, David Physical Review E, Vol. 92, Issue 4 https://doi.org/10.1103/PhysRevE.92.041002	journal	October 2015
Universal behavior of crystalline membranes: Crumpling transition and Poisson ratio of the flat phase Cuerno, R.; Gallardo Caballero, R.; Gordillo-Guerrero, A. Physical Review E, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevE.93.022111	journal	February 2016
Deformation of porous flexible strip in low and moderate Reynolds number flows Pezzulla, M.; Strong, E. F.; Gallaire, F. Physical Review Fluids, Vol. 5, Issue 8 https://doi.org/10.1103/PhysRevFluids.5.084103	journal	August 2020
Direct Observation of the Dynamics of Semiflexible Polymers in Shear Flow Harasim, Markus; Wunderlich, Bernhard; Peleg, Orit Physical Review Letters, Vol. 110, Issue 10 https://doi.org/10.1103/PhysRevLett.110.108302	journal	March 2013
Thermal Buckling Transition of Crystalline Membranes in a Field Le Doussal, Pierre; Radzihovsky, Leo Physical Review Letters, Vol. 127, Issue 1 https://doi.org/10.1103/PhysRevLett.127.015702	journal	June 2021
Statistical Mechanics of Tethered Surfaces Kantor, Yacov; Kardar, Mehran; Nelson, David R. Physical Review Letters, Vol. 57, Issue 7 https://doi.org/10.1103/PhysRevLett.57.791	journal	August 1986
Fluctuations of Solid Membranes Aronovitz, Joseph A.; Lubensky, T. C. Physical Review Letters, Vol. 60, Issue 25 https://doi.org/10.1103/PhysRevLett.60.2634	journal	June 1988
Landau Theory of the Crumpling Transition Paczuski, Maya; Kardar, Mehran; Nelson, David R. Physical Review Letters, Vol. 60, Issue 25 https://doi.org/10.1103/PhysRevLett.60.2638	journal	June 1988
Molecular dynamics of tethered membranes Abraham, Farid F.; Rudge, W. E.; Plischke, M. Physical Review Letters, Vol. 62, Issue 15 https://doi.org/10.1103/PhysRevLett.62.1757	journal	April 1989
Self-avoiding tethered membranes Ho, J. -S.; Baumgärtner, A. Physical Review Letters, Vol. 63, Issue 12 https://doi.org/10.1103/PhysRevLett.63.1324	journal	September 1989
Conformations of a Tethered Membrane: Crumpling in Graphitic Oxide? Spector, M. S.; Naranjo, E.; Chiruvolu, S. Physical Review Letters, Vol. 73, Issue 21 https://doi.org/10.1103/PhysRevLett.73.2867	journal	November 1994
Characteristic Periodic Motion of Polymers in Shear Flow Schroeder, Charles; Teixeira, Rodrigo; Shaqfeh, Eric Physical Review Letters, Vol. 95, Issue 1 https://doi.org/10.1103/PhysRevLett.95.018301	journal	July 2005
Statistics of Tumbling of a Single Polymer Molecule in Shear Flow Gerashchenko, Sergiy; Steinberg, Victor Physical Review Letters, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevLett.96.038304	journal	January 2006
Semiflexible Polymers in Shear Flow Winkler, Roland G. Physical Review Letters, Vol. 97, Issue 12 https://doi.org/10.1103/PhysRevLett.97.128301	journal	September 2006
Multiple regimes of deformation in shearing flow of isolated polymers Dalal, Indranil Saha; Hoda, Nazish; Larson, Ronald G. Journal of Rheology, Vol. 56, Issue 2 https://doi.org/10.1122/1.3679461	journal	March 2012
Biomimetic nanocoatings with exceptional mechanical, barrier, and flame-retardant properties from large-scale one-step coassembly Ding, Fuchuan; Liu, Jingjing; Zeng, Songshan Science Advances, Vol. 3, Issue 7 https://doi.org/10.1126/sciadv.1701212	journal	July 2017
Designing self-propelled, chemically active sheets: Wrappers, flappers, and creepers Laskar, Abhrajit; Shklyaev, Oleg E.; Balazs, Anna C. Science Advances, Vol. 4, Issue 12 https://doi.org/10.1126/sciadv.aav1745	journal	December 2018
Diffraction from Polymerized Membranes Abraham, Farid F.; Nelson, David R. Science, Vol. 249, Issue 4967 https://doi.org/10.1126/science.249.4967.393	journal	July 1990
Single-Polymer Dynamics in Steady Shear Flow Smith, D. E. Science, Vol. 283, Issue 5408 https://doi.org/10.1126/science.283.5408.1724	journal	March 1999
Preconditioned Krylov Subspace Methods for Sampling Multivariate Gaussian Distributions Chow, Edmond; Saad, Yousef SIAM Journal on Scientific Computing, Vol. 36, Issue 2 https://doi.org/10.1137/130920587	journal	January 2014
Dynamics of semi-flexible tethered sheets: A simulation study using stochastic rotation dynamics Babu, S. B.; Stark, H. The European Physical Journal E, Vol. 34, Issue 12 https://doi.org/10.1140/epje/i2011-11136-2	journal	December 2011
Statistical Mechanics of Membranes and Surfaces Nelson, D.; Piran, T.; Weinberg, S. https://doi.org/10.1142/5473	book	June 2004
Tumbling of polymers in semidilute solution under shear flow Huang, C. -C.; Sutmann, G.; Gompper, G. EPL (Europhysics Letters), Vol. 93, Issue 5 https://doi.org/10.1209/0295-5075/93/54004	journal	March 2011

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