The experimental and numerical study of the behaviour of polymers in concentrated solutions is a line of research that is still highly active. In the past, it enabled us to understand why materials like rubber have certain elastic¹（弹性的） properties. A distinctive² feature of these systems is that the long "chained" molecules³ composing them tend to penetrate⁴ each other and interweave at their ends forming very durable⁵ bonds that make them always return to their initial conformation whenever they are "stretched". The behaviour of dense⁶ solutions of "ring" polymers, i.e., polymers that form closed loops like rings and have no free ends, is very different. Angelo Rosa, a theoretical physicist⁷ from the International School for Advanced Studies (SISSA) in Trieste, and Ralf Everaers from the École Normale Supérieure de Lyon devised a highly efficient numerical method to study these materials, a method which they intend to apply to biology in the future.

 

"Ring polymers - by construction - don't have free ends and so when in a solution they cannot interweave with each other and form bonds as the more common linear polymers do", explains Rosa. "This causes them to behave very differently from linear polymers. So we wanted to understand the physics of these peculiar⁸ solutions and we constructed some models of ring polymers that allowed us to predict their behaviour. We then compared the models we created with other earlier simulations conducted with different methods, and found that they confirmed our findings".

 

"The really interesting thing about our study is that it considerably⁹ reduces analysis time, which means the method is highly efficient", the researcher adds. "We found that compared to dense solutions of linear polymers, which form the base of the more common visco-elastic materials such as rubber, these materials are much more fragile because a ring polymer interweaves very little with the others and remains¹⁰ "topologically" always confined within a restricted region".

 

Rosa and Everaers point out that they will now continue to develop their research in the field of biology. "We think that our models of ring polymers are useful to understand chromosomes¹² dissolved in the cell nucleus¹³", says Rosa. "Even though it isn't a circular polymer, a chromosome¹¹ behaves in a very similar manner, in that it remains topologically isolated¹⁴ from the other chromosomes dissolved in the cytoplasm（细胞质） for a long time".

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