Search
Search Results
-
Hot Brownian Motion
The chapter deals with hot Brownian particles and swimmers as two examples for Brownian motion very far from equilibrium. Thanks to the strong scale...
-
Relativistic Brownian Motion
The Brownian motion is one of the cornerstones of statistical mechanics that has been used as a stochastic model to represent a variety of different...
-
Brownian Motion and Diffusion Equation
Brownian motion is random movement of particles such as pollen suspended in water (Philipse in Notes on Brownian Motion, 2011). The random movement...
-
History of Brownian Motion in a Nutshell
This chapter provides a concise overview of the historical development and key milestones in the understanding of Brownian motion. Originating in the...
-
Active Brownian Motion of Microparticles in a DC Glow Discharge under Laser Radiation
AbstractThe active Brownian motion of single dust particles in a three-dimensional DC discharge trap under the action of laser radiation is...
-
Active Brownian Motion of Dust Particles in Quasi-One-Dimensional (Chain) Structures in a Glow Discharge
AbstractWe present the experimental results of our study of the formation and dynamics of chain structures by active Brownian particles in a DC glow...
-
Numerical simulations of confined Brownian-yet-non-Gaussian motion
AbstractBrownian motion is a central scientific paradigm. Recently, due to increasing efforts and interests towards miniaturization and small-scale...
-
-
Holonomy of the Planar Brownian Motion in a Poisson Punctured Plane
We define a family of diffeomorphism-invariant models of random connections on principal G -bundles over the plane, whose curvatures are concentrated...
-
Quantum Brownian motion induced by a scalar field in Einstein’s universe
The Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless real scalar field in Einstein’s universe is studied. By...
-
Fractal Brownian Motion of Colloidal Particles in Plasma
AbstractExperimental data on the motion of a single colloidal particle in a trap in the near-electrode layer of an RF-discharge plasma are analyzed....
-
Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion
We prove a scaling limit result for random walk on certain random planar maps with its natural time parametrization. In particular, we show that for
... 
-
Investigation of Brownian motion in stochastic Schrödinger wave equation using the modified generalized Riccati equation map** method
This work investigates the stochastic nonlinear Schrödinger equation in a more extended form, influenced by multiplicative noise which represents the...
-
Branching Brownian Motion with Self-Repulsion
We consider a model of branching Brownian motion with self-repulsion. Self-repulsion is introduced via a change of measure that penalises particles...
-
Brownian Motion of a Dust Molecule
AbstractThe dynamics of the bound complex consisting of two particles and being under the action of external random forces is studied theoretically....
-
Random Walks: Brownian Motion and the Tree of Life
In this chapter discusses random walks. We explore the application of random walks to three biologically relevant phenomena. The first is Brownian...
-
Brownian Motion, Martingales and Itô Formula in Clifford Analysis
Clifford analysis has been the field of active research for several decades resulting in various methods to solve problems in pure and applied...
-
Tempered fractional Brownian motion on finite intervals
AbstractDiffusive transport in many complex systems features a crossover between anomalous diffusion at short times and normal diffusion at long...
-
Active Brownian Particles
In this chapter, we study Brownian active particles under confinement by means of the Fick-Jacobs approach. As part of the description, we derive an...
-
Effect of Nonreciprocal Forces on Brownian Motion of Plasma Crystal
AbstractThe effect is studied theoretically of nonreciprocity of interparticle forces on the Brownian motion of a single-layer plasma crystal with...
