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20202023
most citedElasticity of Phantom Model Networks with Cyclic Defects

72 citations · 506 across the 15 of their papers we have counts for

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Showing 2021Show all

12 papers · 1 filter

cond-mat.soft2021★ 2 cited

Competing exchange and irreversible reactions in a linear co-polycondensation lead to a broad composition window where tunable high molecular weight polymers can be prepared

Michael Lang, Frank Böhme

A co-polycondensation reaction is discussed analytically and by Monte-Carlo simulations where two reactive units compete for reactions with an alternating third reactive unit, wher…

cond-mat.soft2021★ 15 cited

Fluctuation driven height reduction of crosslinked polymer brushes

M. Lang, M. Hoffmann, M. Werner +2

We study the changes in the conformations of brushes upon the addition of crosslinks between the chains using the bond fluctuation model. The Flory-Rehner model applied to uni-axia…

cond-mat.soft2021★ 13 cited

Excluded volume effects in polymer brushes at moderate chain stretching

Dirk Romeis, Michael Lang

We develop a strong stretching approximation for a polymer brush made of self-avoiding polymer chains. The density profile of the brush and the distribution of the end monomer posi…

cond-mat.soft2021★ 15 cited

Arm retraction dynamics in dense polymer brushes

Michael Lang, Marco Werner, Ron Dockhorn +1

Large scale Monte Carlo simulations of dense layers of grafted polymer chains in good solvent conditions are used to explore the relaxation of a polymer brush. Monomer displacement…

cond-mat.soft2021★ 65 cited

Effect of Topology on the Conformations of Ring Polymers

Michael Lang, Jakob Fischer, Jens-Uwe Sommer

The bond fluctuation method is used to simulate both non-concatenated entangled and interpenetrating melts of ring polymers. We find that the swelling of interpenetrating rings upo…

cond-mat.soft2021★ 72 cited

Elasticity of Phantom Model Networks with Cyclic Defects

Michael Lang

The impact of finite cycles on the phantom modulus in an otherwise perfect network is computed exactly. It is shown that pending cycles reduce the phantom modulus of the network by…

cond-mat.soft2021★ 49 cited

Short Cyclic Structures in Polymer Model Networks: A Test of Mean Field Approximation by Monte Carlo Simulations

Michael Lang, Konrad Schwenke, Jens-Uwe Sommer

A mean field rate theory description of the homo- and co-polymerization of -functional molecules is developed, which contains the formation of short cyclic structures inside the…

cond-mat.soft2021★ 62 cited

On the Structure of Star-Polymer Networks

Konrad Schwenke, Michael Lang, Jens-Uwe Sommer

Using the bond fluctuation model we study polymer networks obtained by endlinking of symmetric 4-arm star polymers. We consider two types of systems. Solutions of one type (A) of s…

cond-mat.soft2021★ 41 cited

Monomer Fluctuations and the Distribution of Residual Bond Orientations in Polymer Networks

Michael Lang

In the present work, four series of simulations are analyzed: entangled model networks of a) mono-disperse or b) poly-disperse weight distribution between the crosslinks, c) non-en…

cond-mat.soft2021★ 52 cited

Ring conformations in bidisperse blends of ring polymers

Michael Lang

The size of rings (also called cyclic polymers) in bidisperse blends of chemically identical rings is analyzed by computer simulations. Data of entangled ring blends and blends of…

cond-mat.soft2021★ 53 cited

On the Elasticity of Polymer Model Networks Containing Finite Loops

Michael Lang

Based upon the resistor analogy and using the ideal loop gas approximation(ILGA) it is shown that only pending loops reduce the modulus of an otherwise perfect network made of mono…

cond-mat.soft2021★ 11 cited

Olympic Gels: Concatenation and Swelling

Michael Lang, Jakob Fischer, Marco Werner +1

Concatenation and equilibrium swelling of Olympic gels, which are composed of entangled cyclic polymers, is studied by Monte Carlo Simulations. The average number of concatenated m…