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Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem
In this paper, we study a two-point boundary value problem consisting of the heat equation on the open interval (0,1) with boundary conditions which...
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Condensation of SIP Particles and Sticky Brownian Motion
We study the symmetric inclusion process (SIP) in the condensation regime. We obtain an explicit scaling for the variance of the density field in...
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Fick Law and Sticky Brownian Motions
We consider an interacting particle system in the interval [1, N ] with reservoirs at the boundaries. While the dynamics in the channel is the simple...
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Optimal escapes in active matter
AbstractThe out-of-equilibrium character of active particles, responsible for accumulation at boundaries in confining domains, determines not-trivial...
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High-Speed Optical Traps Address Dynamics of Processive and Non-Processive Molecular Motors
Interactions between biological molecules occur on very different time scales, from the minutes of strong protein–protein bonds, down to below the...
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Energy: Work, Geckos, and ATP
This chapter discusses energy and how energy can be transferred into or removed from a system. The total energy of the entire universe is conserved....
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Understanding planet formation using microgravity experiments
In 2018, images were released of a planet being formed around the star PDS 70, offering a tantalizing glimpse into how planets come into being....
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Force and Momentum: Newton’s Laws and How to Apply Them
In this chapter presents and discusses Newton’s laws, which represent a landmark in the history of science and philosophy in that they, for the first...
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Methodologies
The goal of this chapter is to scrutinize previous work to find out if and why we still have a heating problem, and what the nature of the remaining...
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The Colours of the Rainbow
We see in colour what is around us, many years ago we used to watch television in black and white and that was enough, many people imagined colours.
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Phase Transitions in Active Matter Systems
This article reviews various aspects of phase transitions in active matter systems. Scaling phenomena in steady states as well as...
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Random Walk on Nonnegative Integers in Beta Distributed Random Environment
We consider random walks on the nonnegative integers in a space-time dependent random environment. We assume that transition probabilities are given...
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Cluster formation by acoustic forces and active fluctuations in levitated granular matter
Mechanically agitated granular matter often serves as a prototype for exploring the rich physics associated with hard-sphere systems, with an...
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High-Resolution Optical Tweezers Combined with Multicolor Single-Molecule Microscopy
We present an instrument that combines high-resolution optical tweezers and multicolor confocal fluorescence spectroscopy. Biological macromolecules...
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Physics of viral dynamics
Viral capsids are often regarded as inert structural units, but in actuality they display fascinating dynamics during different stages of their life...
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Anomalous Diffusion by the Fractional Fokker-Planck Equation and Lévy Stable Processes
The work presented here is a review of current developments in modelling anomalous diffusion using a Fokker-Planck description with fractional...
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Dust Evolution in Protoplanetary Discs and the Formation of Planetesimals
After 25 years of laboratory research on protoplanetary dust agglomeration, a consistent picture of the various processes that involve colliding dust...
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Theoretical Models of Granular and Active Matter
This chapter introduces the main tehoretical models used to describe and reproduce the behavior of granular and active matter. The first Sect. 2.1 is...