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Understanding kinetics including reaction pathways and associated transition rates is an important yet difficult problem in numerous chemical and biological systems especially in situations with multiple competing pathways. When these…

Computational Physics · Physics 2021-09-22 Sun-Ting Tsai , Zachary Smith , Pratyush Tiwary

Understanding the driving forces behind the nucleation of different polymorphs is of great importance for material sciences and the pharmaceutical industry. This includes understanding the reaction coordinate that governs the nucleation…

Soft Condensed Matter · Physics 2021-08-25 Ziyue Zou , Sun-Ting Tsai , Pratyush Tiwary

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

The nonlinear response of molecular systems undergoing Markovian stochastic reorientations is calculated up to fifth order in the amplitude of the external field. Time-dependent perturbation theory is used to compute the relevant response…

Soft Condensed Matter · Physics 2018-10-10 Gregor Diezemann

We report exact results for one-dimensional reaction-diffusion models A+A -> inert, A+A -> A, and A+B -> inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasized anisotropy of hopping…

Condensed Matter · Physics 2010-09-22 Vladimir Privman , Antonio M. R. Cadilhe , M. Lawrence Glasser

In many problems in data classification one wishes to assign labels to points in a point cloud with a certain number of them being already correctly labeled. In this paper, we propose a microscopic ODE approach, in which information about…

Analysis of PDEs · Mathematics 2020-12-23 Lisa Maria Kreusser , Marie-Therese Wolfram

We study a system of reaction-diffusion equations posed on a bounded domain composed of subdomains separated by a connected network with a metric graph structure. The reaction-diffusion dynamics with anisotropic diffusion on the graph edges…

Analysis of PDEs · Mathematics 2025-10-28 Xiao Meng , Kei Fong Lam

In this paper we present a method to improve the description of 0+1 dimensional boost invariant dissipative dynamics in the presence of large momentum-space anisotropies. We do this by reorganizing the canonical hydrodynamic expansion of…

Nuclear Theory · Physics 2010-11-01 Mauricio Martinez , Michael Strickland

One-dimensional reaction-diffusion models A+A -> 0, A+A -> A, and $A+B -> 0, where in the latter case like particles coagulate on encounters and move as clusters, are solved exactly with anisotropic hopping rates and assuming synchronous…

Condensed Matter · Physics 2011-10-26 Vladimir Privman , Antonio M. R. Cadilhe , M. Lawrence Glasser

Photochemical reactions on semiconductors are anisotropic, since they occur with different rates on surfaces of different orientation. Understanding the origin of this anisotropy is crucial to engineering more efficient photocatalysts. In…

Materials Science · Physics 2022-05-04 Chiara Ricca , Ulrich Aschauer

Reaction coordinates are widely used throughout chemical physics to model and understand complex chemical transformations. We introduce a definition of the natural reaction coordinate, suitable for condensed phase and biomolecular systems,…

Statistical Mechanics · Physics 2017-03-08 Robert T. McGibbon , Brooke E. Husic , Vijay S. Pande

We present a novel method, based on a multiscale approach, for detecting anisotropy signatures in the arrival direction distribution of the highest energy cosmic rays. This method is catalog independent, i.e. it does not depend on the…

Instrumentation and Methods for Astrophysics · Physics 2015-05-27 M. De Domenico , H. Lyberis

When examining dynamics occurring at non-zero temperatures, both energy and entropy must be taken into account while describing activated barrier crossing events. Furthermore, good reaction coordinates need to be constructed to describe…

Chemical Physics · Physics 2022-03-16 E. R. Beyerle , Shams Mehdi , Pratyush Tiwary

In parallel with advances in microscale imaging techniques, the fields of biology and materials science have focused on precisely extracting particle properties based on their diffusion behavior. Although the majority of real-world…

Mesoscale and Nanoscale Physics · Physics 2024-05-22 Kaito Takanami , Daisuke Taniguchi , Sawako Enoki , Masafumi Kuroda , Yasushi Okada , Yoshiyuki Kabashima

The general framework of entropic dynamics is used to formulate a relational quantum dynamics. The main new idea is to use tools of information geometry to develop an entropic measure of the mismatch between successive configurations of a…

Quantum Physics · Physics 2016-01-11 Selman Ipek , Ariel Caticha

A new method is introduced allowing to solve exactly the reactions A+A->inert and A+A->A on the 1D lattice with synchronous diffusional dynamics (simultaneous hopping of all particles). Exact connections are found relating densities and…

Condensed Matter · Physics 2010-10-12 Vladimir Privman

We briefly review some common diffusion-limited reactions with emphasis on results for two-species reactions with anisotropic hopping. Our review also covers single-species reactions. The scope is that of providing reference and general…

Condensed Matter · Physics 2010-10-12 Antonio M. R. Cadilhe , M. Lawrence Glasser , Vladimir Privman

The dispersive optical-model is applied to transfer reactions. A systematic study of $(d,p)$ reactions on closed-shell nuclei using the finite-range adiabatic reaction model is performed at several beam energies and results are compared to…

Nuclear Theory · Physics 2011-10-25 N. B. Nguyen , S. J. Waldecker , F. M. Nunes , R. J. Charity , W. H. Dickhoff

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

Determining the optimal configuration of adsorbates on a slab (adslab) is pivotal in the exploration of novel catalysts across diverse applications. Traditionally, the quest for the lowest energy adslab configuration involves placing the…

Machine Learning · Computer Science 2024-05-08 Adeesh Kolluru , John R Kitchin
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