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- Weinan E, Tiejun Li, Eric Vanden-Eijnden
- Proceedings of the National Academy of Sciencesâ€¦
- 2008

Given a large and complex network, we would like to find the best partition of this network into a small number of clusters. This question has been addressed in many different ways. Here we propose aâ€¦ (More)

- Weinan E, Weiqing Ren, Eric Vanden-Eijnden
- The Journal of chemical physics
- 2007

We present a simplified and improved version of the string method, originally proposed by E et al. [Phys. Rev. B 66, 052301 (2002)] for identifying the minimum energy paths in barrier-crossingâ€¦ (More)

- Weinan E, Di Liu, Eric Vanden-Eijnden
- The Journal of chemical physics
- 2005

An efficient simulation algorithm for chemical kinetic systems with disparate rates is proposed. This new algorithm is quite general, and it amounts to a simple and seamless modification of theâ€¦ (More)

- Weinan E, Eric Vanden-Eijnden
- Annual review of physical chemistry
- 2010

Transition-path theory is a theoretical framework for describing rare events in complex systems. It can also be used as a starting point for developing efficient numerical algorithms for analyzingâ€¦ (More)

- Weinan E, Vanden Eijnden E
- Proceedings of the National Academy of Sciencesâ€¦
- 2000

The study of passive scalar transport in a turbulent velocity field leads naturally to the notion of generalized flows, which are families of probability distributions on the space of solutions toâ€¦ (More)

- Weinan E, Weiqing Ren, Eric Vanden-Eijnden
- The journal of physical chemistry. B
- 2005

A method is presented for the study of rare events such as conformational changes arising in activated processes whose reaction coordinate is not known beforehand and for which the assumptions ofâ€¦ (More)

- Xiang Zhou, Weiqing Ren, Weinan E
- The Journal of chemical physics
- 2008

An adaptive minimum action method is proposed for computing the most probable transition paths between stable equilibria in metastable systems that do not necessarily have an underlying energyâ€¦ (More)

A new class of matching conditions between the atomistic and continuum regions is presented for the multiscale modeling of crystals. They ensure the accurate passage of large scale informationâ€¦ (More)

- Douglas Zhou, Pingwen Zhang, Weinan E
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2006

In this paper we discuss continuum models of phase separation in polymer solutions, with emphasis on the thermodynamic foundation of these models. We demand that these models obey a free energyâ€¦ (More)

- Russel E. Caflisch, Weinan E, Mark F. Gyure, Barry Merriman, C. Ratsch
- Physical review. E, Statistical physics, plasmasâ€¦
- 1999

A kinetic theory is formulated for the velocity of a step edge in epitaxial growth. The formulation involves kinetic, mean-field equations for the density of kinks and "edge adatoms" along the stepâ€¦ (More)