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This set of lecture notes constitutes the free textbook project I initiated towards the end of Summer 2015, while preparing for the Fall 2015 Analytical Methods in Physics course I taught to upper level undergraduates at the University of…

Mathematical Physics · Physics 2018-01-09 Yi-Zen Chu

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones, -a situation advocated recently to be relevant for bird…

Soft Condensed Matter · Physics 2015-06-04 Anton Peshkov , Sandrine Ngo , Eric Bertin , Hugues Chaté , Francesco Ginelli

Elucidating the atomic structure of liquid and glass is one of the important open questions in condensed matter physics. In the conventional bottom-up approach one starts with focusing on an atom and the short-range order of its neighboring…

Disordered Systems and Neural Networks · Physics 2022-11-16 Takeshi Egami , Chae Woo Ryu

A fundamental objective of materials modeling is identifying atomic structures that align with experimental observables. Conventional approaches for disordered materials involve sampling from thermodynamic ensembles and hoping for an…

Materials Science · Physics 2025-09-30 Tigany Zarrouk , Miguel A. Caro

We perform benchmark simulations using the time-dependent variational approach with the multiple Davydov Ansatz (mDA) to study realtime nonequilibrium dynamics in a single qubit model coupled to two thermal baths with distinct temperatures.…

Quantum Physics · Physics 2025-10-13 Chenlin Ma , Fulu Zheng , Kewei Sun , Lu Wang , Yang Zhao

The dynamics of many atomic systems is controlled by activated events taking place on a time scale which is long compared to that associated with thermal vibrations. This often places problems of interest outside the range of standard…

Materials Science · Physics 2007-05-23 G. T. Barkema , Normand Mousseau

The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to innovations both in theory and in numerical analysis for this…

Numerical Analysis · Mathematics 2018-11-20 Jan Kleinert , Bernd Simeon

These lectures start with a brief overview of salient features of the critical region of hot QCD. The main emphasis is on the accurate description of static plasma observables by the well-known hierarchy of reduced actions combined with 3D…

High Energy Physics - Phenomenology · Physics 2007-05-23 Chris P. Korthals Altes

The vast majority of research involving active learning pedagogies uses passive lecture methods as a baseline. We propose to move beyond such comparisons to understand the mechanisms that make different active learning styles unique. Here,…

Physics Education · Physics 2021-05-10 Kelley Commeford , Eric Brewe , Adrienne Traxler

Dialogue Acts (DAs) can be used to explain what expert tutors do and what students know during the tutoring process. Most empirical studies adopt the random sampling method to obtain sentence samples for manual annotation of DAs, which are…

Computation and Language · Computer Science 2023-04-13 Wei Tan , Jionghao Lin , David Lang , Guanliang Chen , Dragan Gasevic , Lan Du , Wray Buntine

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

Recent experiments and numerical studies have drawn attention to the dynamics of active nematics. Two-dimensional active nematics flow spontaneously and exhibit spatiotemporal chaotic flows with proliferation of topological defects in the…

Soft Condensed Matter · Physics 2020-07-08 Farzan Vafa , Mark J. Bowick , M. Cristina Marchetti , Boris I. Shraiman

Understanding not only where drivers look but also why their attention shifts is essential for interpretable human-AI collaboration in autonomous driving. Driver attention is not purely perceptual but semantically structured. Thus,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Kaiser Hamid , Can Cui , Khandakar Ashrafi Akbar , Ziran Wang , Nade Liang

These lecture notes in geometric mechanics are meant to convey insight through clear definitions and workable examples. The lecture format adopted here is intended to convey the immediacy of the taught course and to be useful as a basis for…

Classical Physics · Physics 2024-09-23 Darryl D. Holm

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

Soft Condensed Matter · Physics 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

This is a collection of notes for part of a short course on modal methods in fluid mechanics held at DAMTP, University of Cambridge, in the summer of 2019. These notes introduce the reader to resolvent analysis as it is currently used in…

Fluid Dynamics · Physics 2019-09-11 A S Sharma

Catalysis lies at the heart of chemical reactivity, yet its foundational principles remain fragmented across the distinct domains of homogeneous, heterogeneous, and enzymatic systems Here, we propose a unifying theoretical model that…

Chemical Physics · Physics 2025-05-05 Frank Nelson Crespilho

Active nematics are dense systems of rodlike particles that consume energy to drive motion at the level of the individual particles. They exist in natural systems like biological tissues and artificial materials such as suspensions of…

Soft Condensed Matter · Physics 2023-12-14 Yunrui Li , Zahra Zarei , Phu N. Tran , Yifei Wang , Aparna Baskaran , Seth Fraden , Michael F. Hagan , Pengyu Hong

Consider briefly the equations of fluid dynamics-they describe the enormous wealth of detail in all the interacting physical elements of a fluid flow-whereas in applications we want to deal with a description of just that which is…

chao-dyn · Physics 2016-08-31 A. J. Roberts

We show that the dominant mode of alignment plays an important role in dry active nematics,leading to two dynamical sub-classes defined by the nature of the instability of the nematic bands that characterize, in these systems, the…

Soft Condensed Matter · Physics 2019-01-16 Li-bing Cai , Hugues Chaté , Yu-qiang Ma , Xia-qing Shi