Xu, Yingru Nahrgang, Marlene Cao, Shanshan Bernhard, Jonah E. Bass, Steffen A.
Published in
EPJ Web of Conferences

We apply a Bayesian model-to-data analysis on an improved Langevin framework to estimate the temperature and momentum dependence of the heavy quark diffusion coefficient in the quark-gluon plasma (QGP). The spatial diffusion coefficient is found to have a minimum around 1-3 near Tc in the zero momentum limit, and has a non-trivial momentum dependen...

Borgogna, Alessia Murmura, Maria Anna Annesini, Maria Cristina Giona, Massimiliano Cerbelli, Stefano
Published in
Microfluidics and Nanofluidics

Mixing of a diffusing species entrained in a three-dimensional microfluidic flow-focusing cross-junction is numerically investigated at low Reynolds numbers, 1≤Re≤150\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setle...

Matsiaka, Oleksii M. Penington, Catherine J Baker, Ruth E. Simpson, Matthew J.
Published in
Bulletin of Mathematical Biology

Scratch assays are routinely used to study the collective spreading of cell populations. In general, the rate at which a population of cells spreads is driven by the combined effects of cell migration and proliferation. To examine the effects of cell migration separately from the effects of cell proliferation, scratch assays are often performed aft...

Xu, Yingru Nahrgang, Marlene Cao, Shanshan Bernhard, Jonah E. Bass, Steffen A.

By applying a Bayesian model-to-data analysis, we estimate the temperature and momentum dependence of the heavy quark diffusion coefficient in an improved Langevin framework. The posterior range of the diffusion coefficient is obtained by performing a Markov chain Monte Carlo random walk and calibrating on the experimental data of $D$-meson $R_{\ma...

Bondarenko, Nina

Theoretical studies of lattice- and spin-polarons are presented in this thesis, where the primary tool is ab-initio electronic structure calculations. The studies are performed with employment of a variety of analytical and computational methods. For lattice-polarons, we present an analytical study where multipolaron solutions were found in the fra...

Wald, Sascha Landi, Gabriel T. Henkel, Malte

The purely relaxational non-equilibrium dynamics of the quantum spherical model as described through a Lindblad equation is analysed. It is shown that the phenomenological requirements of reproducing the exact quantum equilibrium state as stationary solution and the associated classical Langevin equation in the classical limit $g\to 0$ fix the form...

Hozé, Nathanaël Holcman, David

Following recent progress in super-resolution microscopy in the past decade, massive amounts of redundant single stochastic trajectories are now available for statistical analysis. Flows of trajectories of molecules or proteins sample the cell membrane or its interior at very high time and space resolution. Several statistical analyses were develop...

Tamura, Youjiro Ito, Akira Saito, Masami
Published in
Computer methods in biomechanics and biomedical engineering

We propose a muscle contraction model that is essentially a model of the motion of myosin motors as described by a Langevin equation. This model involves one-dimensional numerical calculations wherein the total force is the sum of a viscous force proportional to the myosin head velocity, a white Gaussian noise produced by random forces and other po...

Cugliandolo, Leticia F. Lecomte, Vivien

The definition and manipulation of Langevin equations with multiplicative white noise require special care (one has to specify the time discretisation and a stochastic chain rule has to be used to perform changes of variables). While discretisation-scheme transformations and non-linear changes of variable can be safely performed on the Langevin equ...

Galleani, Lorenzo

We derive a simple relationship between the Wigner distribution of the Green’s function of the Langevin equation and of the harmonic oscillator. This relationship shows that the Wigner distribution of the Green’s function of the harmonic oscillator consists of the sum of two terms obtained by translating the Wigner distribution of the Green’s funct...