Knotting probability of a shaken ball-chain.
نویسندگان
چکیده
We study the formation of knots on a macroscopic ball chain, which is shaken on a horizontal plate at 12 times the acceleration of gravity. We find that above a certain critical length, the knotting probability is independent of chain length, while the time to shake out a knot increases rapidly with chain length. The probability of finding a knot after a certain time is the result of the balance of these two processes. In particular, the knotting probability tends to a constant for long chains.
منابع مشابه
Effect of Nanoslit Confinement on the Knotting Probability of Circular DNA
Monte Carlo simulations are used to study the knotting probability of circular DNA confined in a slit. We systematically vary the slit height, the width, and the contour length of the DNA molecule. We find that the trend in knotting probability with respect to slit height can be monotonic or nonmonotonic, depending on the width and contour length. The nonmonotonic trend is caused by two competi...
متن کاملCharacteristic length of random knotting for cylindrical self-avoiding polygons
We discuss the probability of random knotting for a model of self-avoiding polygons whose segments are given by cylinders of unit length with radius r. We show numerically that the characteristic length of random knotting is roughly approximated by an exponential function of the chain thickness r. keyword characteristic length, random knotting, self-avoiding polygons, knot invariants,knots PACS...
متن کاملDynamic patterns and self-knotting of a driven hanging chain.
When shaken vertically, a hanging chain displays a startling variety of distinct behaviors. We find experimentally that instabilities occur in tonguelike bands of parameter space, to swinging or rotating pendular motion, or to chaotic states. Mathematically, the dynamics are described by a nonlinear wave equation. A linear stability analysis predicts instabilities within the well-known resonanc...
متن کاملTwo Adhesive Sites Can Enhance the Knotting Probability of DNA
Self-entanglement, or knotting, is entropically favored in long polymers. Relatively short polymers such as proteins can knot as well, but in this case the entanglement is mainly driven by fine-tuned, sequence-specific interactions. The relation between the sequence of a long polymer and its topological state is here investigated by means of a coarse-grained model of DNA. We demonstrate that th...
متن کاملOn the Dominance of Trivial Knots among SAPs on a Cubic Lattice
The knotting probability is defined by the probability with which an N -step self-avoiding polygon (SAP) with a fixed type of knot appears in the configuration space. We evaluate these probabilities for some knot types on a simple cubic lattice. For the trivial knot, we find that the knotting probability decays much slower for the SAP on the cubic lattice than for continuum models of the SAP as...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 74 5 Pt 1 شماره
صفحات -
تاریخ انتشار 2006