# Algorithm for anisotropic diffusion in hydrogen-bonded networks

## TL;DR

This paper introduces a specialized anisotropic diffusion algorithm tailored for hydrogen-bonded networks, enabling detailed analysis of proton motion and requiring novel spectral analysis methods, demonstrated through a specific example.

## Contribution

The paper presents a new algorithm for anisotropic diffusion in hydrogen-bonded networks and develops a nonstandard spectral analysis technique for its data.

## Key findings

- Algorithm effectively models proton diffusion in hydrogen bonds.
- Develops a novel spectral analysis method for diffusion data.
- Demonstrates application on a specific network example.

## Abstract

In this paper I describe a specialized algorithm for anisotropic diffusion determined by a field of transition rates. The algorithm can be used to describe some interesting forms of diffusion that occur in the study of proton motion in a network of hydrogen bonds. The algorithm produces data that require a nonstandard method of spectral analysis which is also developed here. Finally, I apply the algorithm to a simple specific example.