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We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

We study the energetics of isothermal ratchets which are driven by a chemical reaction between two states and operate in contact with a single heat bath of constant temperature. We discuss generic aspects of energy transduction such as…

Statistical Mechanics · Physics 2009-10-31 Andrea Parmeggiani , Frank Jülicher , Armand Ajdari , Jacques Prost

We consider the motion of a overdamped Brownian particle in periodic asymmetric potential with space dependent friction coefficient. In the presence of external time periodic forcing, the system shows multiple current reversals on varying…

Statistical Mechanics · Physics 2007-05-23 Debasis Dan , A. M. Jayannavar , Mangal C. Mahato

The motion of an adiabatic piston under dry friction is investigated to clarify the roles of dry friction in non-equilibrium steady states. We clarify that dry friction can reverse the direction of the piston motion and causes a…

Statistical Mechanics · Physics 2014-03-11 Tomohiko G. Sano , Hisao Hayakawa

The quantum adiabatic theorem is a fundamental result in quantum mechanics, with a multitude of applications, both theoretical and practical. Here, we investigate the dynamics of adiabatic processes for quantum many-body systems %in detail…

Quantum Physics · Physics 2025-08-15 Vibhu Mishra , Salvatore Manmana , Stefan Kehrein

A new simple proof of the adiabatic theorem is given in the finite dimensional case for nondegenerate as well as degenerate states. The explicitly integrable two level system is considered as an example. It is demonstrated that the error…

Mathematical Physics · Physics 2011-09-05 M. O. Katanaev

We establish the connection between the standard ADM 3+1 treatment of matter with its characteristic equivalent, in the context of spherical symmetry. The flux-conservative rendition of the fluid equations are obtained. Considering…

General Relativity and Quantum Cosmology · Physics 2015-06-16 W. Barreto

We show that fundamental thermodynamic relations can be derived from deterministic mechanics for a non-ergodic system. This extend a similar derivation for ergodic systems and suggests that ergodicity should not be considered as a…

Statistical Mechanics · Physics 2018-11-13 V. L. Kulinskii , K. S. Glavatskiy

Motivated by the existing complications of finding solutions of Eringen nonlocal model, an alternative model is developed here. The new formulation of the nonlocal elasticity is centered upon expressing the dynamic equilibrium requirements…

Applied Physics · Physics 2018-10-11 Mohamed Shaat

Motivated by experiments with current biased superconducting atomic point contacts the general problem of nonadiabatic transitions between adiabatic surfaces in presence of strong dissipation is studied. For a single channel device the…

Mesoscale and Nanoscale Physics · Physics 2009-06-05 Hans Fritz , Joachim Ankerhold

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

Statistical Mechanics · Physics 2023-06-02 Haoran Yang , Hao Ge

In conventional thermodynamics, it is widely acknowledged that the realization of an isothermal process for a system requires a quasi-static controlling protocol. Here we propose and design a strategy to realize a finite-rate isothermal…

Statistical Mechanics · Physics 2017-07-25 Geng Li , H. T. Quan , Z. C. Tu

Three series of tensile relaxation tests are performed on isotactic polypropylene at room temperature in the vicinity of the yield point. In the first series of experiments, injection-molded samples are used without thermal pre-treatment.…

Materials Science · Physics 2007-05-23 A. D. Drozdov , J. deC. Christiansen

In this paper, we continue the development of a generic adiabatic scheme for nonlinear evolutions. We consider an abstract gradient flow of some energy functional, together with a given manifold of static solutions arising from broken…

Analysis of PDEs · Mathematics 2022-04-13 Jingxuan Zhang

We generalize the theory of thermoelectrics to include coherent electron systems under adiabatic ac driving, accounting for quantum pumping of charge and heat as well as the associated work exchange between electron system and driving…

Mesoscale and Nanoscale Physics · Physics 2016-03-28 Maria Florencia Ludovico , Francesca Battista , Felix von Oppen , Liliana Arrachea

We investigate the statistical properties of fluctuations in active systems that are governed by non-symmetric responses. Both an underdamped Langevin system with an odd resistance tensor and an overdamped Langevin system with an odd…

Soft Condensed Matter · Physics 2022-09-13 Kento Yasuda , Kenta Ishimoto , Akira Kobayashi , Li-Shing Lin , Isamu Sou , Yuto Hosaka , Shigeyuki Komura

Understanding how non-adiabatic terms affect quantum dynamics is fundamental to improving various protocols for quantum technologies. We present a novel approach to computing the Adiabatic Gauge Potential (AGP), which gives information on…

Quantum Physics · Physics 2025-01-15 Ewen D C Lawrence , Sebastian F J Schmid , Ieva Čepaitė , Peter Kirton , Callum W Duncan

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

Materials Science · Physics 2009-02-07 Vinod Krishna

A basic statistical mechanics analysis of many-body systems with non-reciprocal pair interactions is presented. Different non-reciprocity classes in two- and three-dimensional binary systems (relevant to real experimental situations) are…

Statistical Mechanics · Physics 2015-10-09 A. V. Ivlev , J. Bartnick , M. Heinen , H. Löwen

We propose a quantum Otto cycle in a two spin-$1/2$ anisotropic XY model in a transverse external magnetic field. We first characterize the parameter regime that the working medium operates as an engine in the adiabatic regime. Then, we…

Quantum Physics · Physics 2021-03-03 Barış Çakmak