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Active particles driven by colored noise can be approximately mapped onto a system that obeys detailed balance. The effective interactions which can be derived for such a system allow to describe the structure and phase behavior of the…

Soft Condensed Matter · Physics 2017-11-30 René Wittmann , Umberto Marini Bettolo Marconi , Claudio Maggi , Joseph M. Brader

Classical $\phi^4$ theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. Classical $\phi^4$ theory in weak and strong thermal gradients is studied on the lattice in (1+1) dimensions. The steady state…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kenichiro Aoki , Dimitri Kusnezov

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and…

Statistical Mechanics · Physics 2009-10-31 Gang Su , Masuo Suzuki

These are lecture notes for a short course given at the Les Houches Summer School on ``Integrability in Atomic and Condensed Matter Physics'', in summer 2018. Here, I pedagogically discuss recent advances in the study of the entanglement…

Statistical Mechanics · Physics 2020-12-02 Pasquale Calabrese

The present review is based on the lectures that the author had been giving during several years at the Swiss Federal Institute of Technology in Zurich (ETH Zurich). Being bounded by lecture frames, the selection of the material, by…

Physics and Society · Physics 2023-07-13 V. I. Yukalov

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

We consider the energy density and energy transfer in small amplitude, one-dimensional waves on a string, and find that the common expressions used in textbooks for the introductory physics with calculus course give wrong results for some…

Classical Physics · Physics 2015-05-19 Lior M. Burko

Noether's Theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system. Typically the systems are described in the particle-based context of…

Statistical Mechanics · Physics 2022-05-04 Sophie Hermann , Matthias Schmidt

This Chapter contains an overview of the effects of nonlinear interactions in selected problems of non-equilibrium statistical mechanics. Most of the emphasis is put on open setups, where energy is exchanged with the environment. With…

Pattern Formation and Solitons · Physics 2020-06-23 Stefano Iubini , Stefano Lepri , Roberto Livi , Antonio Politi , Paolo Politi

A scalar model of wet active matter in the presence of an imposed temperature gradient, or chemical potential gradient, is considered. It is shown that there is a convective instability driven by a (negative) activity parameter. In this…

Soft Condensed Matter · Physics 2019-03-06 T. R. Kirkpatrick , J. K. Bhattacherjee

We perform a coarse-graining analysis of the paradigmatic active matter model, Active Brownian Particles, yielding a continuum description in terms of balance laws for mass, linear and angular momentum, and energy. The derivation of the…

Soft Condensed Matter · Physics 2019-04-30 Jeffrey M. Epstein , Katherine Klymko , Kranthi K. Mandadapu

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

Statistical Mechanics · Physics 2017-01-05 Thomas Speck

We introduce and study a class of active matter models in which we keep track of fuel (stored energy) consumption. They are by construction, thermodynamically consistent. Using these models it is possible for us to observe and follow how…

Soft Condensed Matter · Physics 2025-07-22 Tanniemola B. Liverpool , Kristian K. Müller-Nedebock , Xichen Chao , Chang Yuan

These expository notes address certain stationary and ergodic properties of the equations of fluid dynamics subject to a spatially degenerate (i.e. frequency localized), white in time gaussian forcing. In order to provide an accessible…

Probability · Mathematics 2014-11-03 Nathan Glatt-Holtz

We consider nonequilibrium systems with complex dynamics in stationary states with large fluctuations of intensive quantities (e.g. the temperature, chemical potential, or energy dissipation) on long time scales. Depending on the…

Statistical Mechanics · Physics 2009-11-07 C. Beck , E. G. D. Cohen

The capability of hydrodynamics to accurately describe slow and long-wavelength fluctuations around non-equilibrium steady states (NESS), characterized by a stationary flow of energy or matter in the presence of a driving force, remains an…

Statistical Mechanics · Physics 2024-11-06 Daniel K. Brattan , Masataka Matsumoto , Matteo Baggioli , Andrea Amoretti

These notes were written for a set of three lectures given in a school at the Max Planck Institute for the Physics of Complex Systems in October/2017 before the workshop "Critical Stability of Quantum Few-Body Systems". These lectures are…

Quantum Physics · Physics 2018-04-04 M. T. Yamashita

It is demonstrated that any statistics can be represented by an attractor of the solution to a corresponding systen of ODE coupled with its Liouville equation. Such a non-Newtonian representation allows one to reduce foundations of…

General Physics · Physics 2012-09-04 Michail Zak

Lectures presented at the Les Houches 2016 Summer School "Integrability: from Statistical Systems to Gauge Theory".

High Energy Physics - Theory · Physics 2018-08-14 Gordon W. Semenoff
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