Brownian ratchets driven by asymmetric nucleation of hydrolysis waves

We propose a stochastic process wherein molecular transport is mediated by asymmetric nucleation of domains on a one-dimensional substrate. Track-driven mechanisms of molecular transport arise in biophysical applications such as Holliday junction positioning and collagenase processivity. In contrast to molecular motors that hydrolyze nucleotide triphosphates and undergo a local molecular conformational change, we show that asymmetric nucleation of hydrolysis waves on a track can also result in directed motion of an attached particle. Asymmetrically cooperative kinetics between ``hydrolyzed'' and ``unhydrolyzed'' states on each lattice site generate moving domain walls that push a particle sitting on the track. We use a novel fluctuating-frame, finite-segment mean field theory to accurately compute steady-state velocities of the driven particle and to discover parameter regimes which yield maximal domain wall flux, leading to optimal particle drift.Comment: 5 pp, 6 fig

Peeling and Sliding in Nucleosome Repositioning

We investigate the mechanisms of histone sliding and detachment with a stochastic model that couples thermally-induced, passive histone sliding with active motor-driven histone unwrapping. Analysis of a passive loop or twist defect-mediated histone sliding mechanism shows that diffusional sliding is enhanced as larger portions of the DNA is peeled off the histone. The mean times to histone detachment and the mean distance traveled by the motor complex prior to histone detachment are computed as functions of the intrinsic speed of the motor. Fast motors preferentially induce detachment over sliding. However, for a fixed motor speed, increasing the histone-DNA affinity (and thereby decreasing the passive sliding rate) increases the mean distance traveled by the motor.Comment: 5 pp, 4 fig

New Detectors to Explore the Lifetime Frontier

Long-lived particles (LLPs) are a common feature in many beyond the Standard Model theories, including supersymmetry, and are generically produced in exotic Higgs decays. Unfortunately, no existing or proposed search strategy will be able to observe the decay of non-hadronic electrically neutral LLPs with masses above $\sim$ GeV and lifetimes near the limit set by Big Bang Nucleosynthesis (BBN), $c \tau \lesssim 10^7 - 10^8$~m. We propose the MATHUSLA surface detector concept (MAssive Timing Hodoscope for Ultra Stable neutraL pArticles), which can be implemented with existing technology and in time for the high luminosity LHC upgrade to find such ultra-long-lived particles (ULLPs), whether produced in exotic Higgs decays or more general production modes. We also advocate for a dedicated LLP detector at a future 100 TeV collider, where a modestly sized underground design can discover ULLPs with lifetimes at the BBN limit produced in sub-percent level exotic Higgs decays.Comment: 7 pages, 4 figures. Added more detail to discussion of backgrounds. Various minor clarifications. Results and conclusions unchange

Mechanism of formation of half-doped stripes in underdoped cuprates

Using a variational Monte-Carlo approach with a recently proposed stripe wave function, we showed that the strong correlation included in a t-J-type model has essentially all the necessary ingredients to form these stripes with modulations of charge density, spin magnetization, and pair field. If a perturbative effect of electron-phonon coupling to renormalize the effective mass or the hopping rate of holes is considered with the model, we find the half-doped stripes, which has on the average one half of a hole in one period of charge modulation, to be most stable, energetic wise in the underdoped region, $1/12\leq\delta\leq1/8$. This is in good agreement with the observation in the neutron scattering experiments. We also find long range Coulomb interaction to be less effective in the formation of half-doped stripes.Comment: 4 pages, 4 figure