We revisit the issue of whether thermal fluctuations are relevant for incompressible fluid
turbulence and estimate the scale at which they become important. As anticipated by …

Fluids in non-equilibrium steady states exhibit long-range fluctuations which extend over the
entire system. They can be described by non-equilibrium thermodynamics and fluctuating …

We develop numerical methods for stochastic reaction-diffusion systems based on
approaches used for fluctuating hydrodynamics (FHD). For hydrodynamic systems, the FHD …

Computational biology is the science of developing mathematical models and numerical
simulation techniques to understand biological and biochemical systems. Since the early …

We introduce a finite-volume numerical scheme for solving stochastic gradient flow
equations. Such equations are of crucial importance within the framework of fluctuating …

Many real-world processes can naturally be modeled as systems of interacting agents.
However, the long-term simulation of such agent-based models is often intractable when the …

We present a numerical formulation for the solution of nonisothermal, compressible Navier-
Stokes equations with thermal fluctuations to describe mesoscale transport phenomena in …

This work is motivated by the goal of designing simulation software for technical devices
that, at their functional core, rely on atomistic‐scale processes embedded in a larger‐scale …

Open biochemical systems of interacting molecules are ubiquitous in life-related processes.
However, established computational methodologies, like molecular dynamics, are still …

We formulate and study computationally the low Mach number fluctuating hydrodynamic
equations for electrolyte solutions. We are interested in studying transport in mixtures of …