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A fundamental challenge is to understand nonequilibrium statistical mechanics starting from microscopic chaos in the equations of motion of a many-particle system. In this review we summarize recent theoretical advances along these lines.…

Chaotic Dynamics · Physics 2010-01-04 R. Klages

The electrostatic interaction between colloidal particles trapped at the interface between two immiscible electrolyte solutions is studied in the limit of small inter-particle distances. Within an appropriate model exact analytic…

Soft Condensed Matter · Physics 2014-05-07 Arghya Majee , Markus Bier , S. Dietrich

We investigate stresses and particle motion during the start up of flow in a colloidal dispersion close to arrest into a glassy state. A combination of molecular dynamics simulation, mode coupling theory and confocal microscopy experiment…

Soft Condensed Matter · Physics 2009-11-13 J. Zausch , J. Horbach , M Laurati , S. U. Egelhaaf , J. M. Brader , Th. Voigtmann , M. Fuchs

This paper reviews various applications of the theory of smooth dynamical systems to conceptual problems of nonequilibrium statistical mechanics. We adopt a new point of view which has emerged progressively in recent years, and which takes…

chao-dyn · Physics 2015-06-24 David Ruelle

The quasi-stationary nonequilibrium distribution function of an independent electron gas interacting with a medium, which is at local thermal equilibrium, can be obtained by entropy production rate minimization, subject to constraints of…

Statistical Mechanics · Physics 2010-05-18 Thomas Christen

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

Statistical Mechanics · Physics 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

Nonreciprocal effective interaction forces can occur between mesoscopic particles in colloidal suspensions that are driven out of equilibrium. These forces violate Newton's third law actio=reactio on coarse-grained length and time scales.…

Soft Condensed Matter · Physics 2016-01-20 Jörg Bartnick , Marco Heinen , Alexei V Ivlev , Hartmut Löwen

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · Physics 2008-02-03 Z. Hens , X. de Hemptinne

Nonequilibrium thermodynamics has shown its applicability in a wide variety of different situations pertaining to fields such as physics, chemistry, biology, and engineering. As successful as it is, however, its current formulation…

Condensed Matter · Physics 2009-11-07 J. M. G. Vilar , J. M. Rubi

We review recent developments in nonlinear quantum transport through nanostructures and mesoscopic systems driven by thermal gradients or in combination with voltage biases. Low-dimensional conductors are excellent platforms to analyze both…

Mesoscale and Nanoscale Physics · Physics 2016-11-14 David Sanchez , Rosa Lopez

We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat transfer. Our main interest is to model species-dependent diffusivities, while at the…

Analysis of PDEs · Mathematics 2022-02-11 Julian Fischer , Katharina Hopf , Michael Kniely , Alexander Mielke

At equilibrium, a fluid element, within a larger heat bath, receives random impulses from the bath. Those impulses, which induce stochastic transitions in the system (the fluid element), respect the principle of detailed balance, because…

Statistical Mechanics · Physics 2009-11-13 Aditi Simha , R. M. L. Evans , A. Baule

The response of a suspension under a variety of static or alternating external fields strongly depends on the equilibrium electric double layer that surrounds the colloidal particles in the suspension. The theoretical models for salt-free…

Soft Condensed Matter · Physics 2022-02-11 Jun-Sik Sin , Kwang-Il Kim , Kuk-Chol Ri , Dok-Yong Ju , Nam-Hyok Kim , Chung-Sik Sin

The fluctuation-dissipation-theorem connects equilibrium to mildly (linearly) perturbed situations in a thermodynamic manner: It involves the observable of interest and the entropy production caused by the perturbation. We derive a relation…

Statistical Mechanics · Physics 2021-03-24 Tristan Holsten , Matthias Krüger

We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof of the second law of thermodynamics.…

High Energy Physics - Theory · Physics 2018-05-25 Paolo Glorioso , Hong Liu

Nonequilibrium interfacial thermodynamics is formulated in the presence of surface reactions for the study of diffusiophoresis in isothermal systems. As a consequence of microreversibility and Onsager-Casimir reciprocal relations,…

Chemical Physics · Physics 2018-12-24 Pierre Gaspard , Raymond Kapral

Recent theoretical research on the fundamentals of statistical mechanics has led to a remarkable discovery [2-4]: with a locally nonchaotic energy barrier, a macroscopic system may produce useful work in a cycle by absorbing heat from a…

Soft Condensed Matter · Physics 2025-11-10 Yu Qiao , Meng Wang

Thermodynamics of equilibrium states is well established. However, in nonequilibrium few general results are known. One prime and important example is that of Nyquist theorem. It relates equilibrium tiny voltage fluctuations across a…

Statistical Mechanics · Physics 2014-09-24 Navinder Singh

Solutes added to solutions often dramatically impact molecular processes ranging from the suspension or precipitation of colloids to biomolecular associations and protein folding. Here we revisit the origins of the effective attractive…

Soft Condensed Matter · Physics 2013-11-15 Shahar Sukenik , Liel Sapir , Daniel Harries

We explore the effects of quantum mechanical squeezing on the nonequilibrium fluctuations of bosonic transport between two squeezed harmonic reservoirs and a two level system. A standard full counting statistics technique based on a quantum…

Quantum Physics · Physics 2022-06-16 Manash Jyoti Sarmah , Akanksha Bansal , Himangshu Prabal Goswami