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pro vyhledávání: '"Tzou, Justin. C."'
In this article, we study the narrow capture problem on a Riemannian 2-manifold. This involves the derivation of the mean first passage (sojourn) time of a surface-bound ion modelled as a Brownian particle. We use a layer potential argument in conjun
Externí odkaz:
http://arxiv.org/abs/2209.12425
Autor:
Tzou, Justin. C., Xie, Shuangquan
For a bounded 2-D planar domain $\Omega$, we investigate the impact of domain geometry on oscillatory translational instabilities of $N$-spot equilibrium solutions for a singularly perturbed Schnakenberg reaction-diffusion system with $\mO(\eps^2) \l
Externí odkaz:
http://arxiv.org/abs/2207.00803
We use geometric microlocal methods to compute an asymptotic expansion of mean first arrival time for Brownian particles on Riemannian manifolds. This approach provides a robust way to treat this problem, which has thus far been limited to very speci
Externí odkaz:
http://arxiv.org/abs/2101.07958
Publikováno v:
Phys. Rev. E 94, 042418 (2016)
A hybrid asymptotic-numerical method is presented for obtaining the full probability distribution of capture times of a random walker by multiple small traps located inside a bounded two-dimensional domain with reflective boundaries. As motivation fo
Externí odkaz:
http://arxiv.org/abs/1607.08095
Autor:
Tzou, Justin C., Kevrekidis, Panayotis G., Kolokolnikov, Theodore, Carretero-Gonzalez, Ricardo
For a dissipative variant of the two-dimensional Gross-Pitaevskii equation with a parabolic trap under rotation, we study a symmetry breaking process that leads to the formation of vortices. The first symmetry breaking leads to the formation of many
Externí odkaz:
http://arxiv.org/abs/1509.02998
For a random walk on a confined one-dimensional domain, we consider mean first passage times (MFPT) in the presence of a mobile trap. The question we address is whether a mobile trap can improve capture times over a stationary trap. We consider two s
Externí odkaz:
http://arxiv.org/abs/1410.1391
We compute the mean first passage time (MFPT) for a Brownian particle inside a two-dimensional disk with reflective boundaries and a small interior trap that is rotating at a constant angular velocity. The inherent symmetry of the problem allows for
Externí odkaz:
http://arxiv.org/abs/1405.2302
We present three examples of delayed bifurcations for spike solutions of reaction-diffusion systems. The delay effect results as the system passes slowly from a stable to an unstable regime, and was previously analysed in the context of ODE's in [P.M
Externí odkaz:
http://arxiv.org/abs/1401.5359
Autor:
Fernandes, Ricardo A., Ganzinger, Kristina A., Tzou, Justin C., Jönsson, Peter, Lee, Steven F., Palayret, Matthieu, Santos, Ana Mafalda, Carr, Alexander R., Ponjavic, Aleks, Chang, Veronica T., Macleod, Charlotte, Lagerholm, B. Christoffer, Lindsay, Alan E., Dushek, Omer, Tilevik, Andreas, Davis, Simon J., Klenerman, David
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2019 Jul 01. 116(28), 14002-14010.
Externí odkaz:
https://www.jstor.org/stable/26760980
Akademický článek
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