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We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

Statistical Mechanics · Physics 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

The present paper reports our attempt to search for a new universal framework in nonequilibrium physics. We propose a thermodynamic formalism that is expected to apply to a large class of nonequilibrium steady states including a heat…

Statistical Mechanics · Physics 2007-05-23 Shin-ichi Sasa , Hal Tasaki

The applicability of stochastic differential equations to thermodynamics is considered and a new form, different from the classical Ito and Stratonovich forms, is introduced. It is shown that the new presentation is more appropriate for the…

Statistical Mechanics · Physics 2015-06-05 R. Tsekov

We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the…

Soft Condensed Matter · Physics 2009-11-11 Z. Idziaszek , L. Santos , M. Lewenstein

The approach is developed for the description of isolated Fermi-systems with finite number of particles, such as complex atoms, nuclei, atomic clusters etc. It is based on statistical properties of chaotic excited states which are formed by…

Statistical Mechanics · Physics 2009-08-18 V. V. Flambaum , F. M. Izrailev

We develop a finite-temperature hydrodynamic approach for a harmonically trapped one-dimensional quasicondensate and apply it to describe the phenomenon of frequency doubling in the breathing-mode oscillations of its momentum distribution.…

Quantum Gases · Physics 2016-11-15 I. Bouchoule , S. S. Szigeti , M. J. Davis , K. V. Kheruntsyan

We study abrupt changes in the dynamics and/or steady state of fermionic dissipative systems produced by small changes of the system parameters. Specifically, we consider open fermionic systems whose dynamics is described by master…

Quantum Physics · Physics 2013-02-18 Birger Horstmann , J. Ignacio Cirac , Géza Giedke

In analogy to Brownian computers we explicitly show how to construct stochastic models, which mimic the behaviour of a general purpose computer (a Turing machine). Our models are discrete state systems obeying a Markovian master equation,…

Statistical Mechanics · Physics 2015-10-13 Philipp Strasberg , Javier Cerrillo , Gernot Schaller , Tobias Brandes

Stochastic line integrals provide a useful tool for quantitatively characterizing irreversibility and detailed balance violation in noise-driven dynamical systems. A particular realization is the stochastic area, recently studied in coupled…

Statistical Mechanics · Physics 2022-09-14 Stephen Teitsworth , John Neu

We have performed an extensive analysis of a single particle stochastic heat engine constructed by manipulating a Brownian particle in a time dependent harmonic potential. The cycle consists of two isothermal steps at different temperatures…

Statistical Mechanics · Physics 2014-12-01 Shubhashis Rana , P. S. Pal , Arnab Saha , A. M. Jayannavar

On the assumption that experimentally validated tabulated thermodynamic properties of saturated fluids published by the National Institute of Standards and Technology are accurate, a theoretical thermodynamic cycle can be demonstrated that…

Chemical Physics · Physics 2018-08-15 Matthew David Marko

We study the thermodynamics of quantum particles with long-range interactions at T=0. Specifically, we generalize the Hamiltonian Mean Field (HMF) model to the case of fermions and bosons. In the case of fermions, we consider the…

Statistical Mechanics · Physics 2015-12-01 Pierre-Henri Chavanis

We analyze the heat exchange distribution of quantum open systems undergoing a thermal relaxation that maximizes the entropy production. We show that the process implies a type of generalized law of cooling in terms of a time dependent…

Statistical Mechanics · Physics 2019-05-06 D. S. P. Salazar , A. M. S. Macêdo , G. L. Vasconcelos

In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such as heat, work, and entropy production, are generalized to small fluctuating systems by defining them on a trajectory-wise level. In Langevin systems with…

Statistical Mechanics · Physics 2019-09-04 Stefano Bo , Soon Hoe Lim , Ralf Eichhorn

Through experimental investigation into the behaviour of a polar dielectric working fluid, an ideal quasi-thermodynamic cycle has been established. Particular stages of this cycle are described in terms of a condensed-matter analogue of the…

Soft Condensed Matter · Physics 2021-06-18 Mark Gibbons

We study the energy exchange between two bosonic systems that interact via bilinear transformations in the mode operators. The first mode is considered as the thermodynamic system, while the second is regarded as the bath. This work finds…

Quantum Physics · Physics 2020-06-23 Chiara Macchiavello , Alberto Riccardi , Massimiliano F. Sacchi

The method of functional renormalization is applied to the theoretical investigation of ultracold quantum gases. Flow equations are derived for a Bose gas with approximately pointlike interaction, for a Fermi gas with two (hyperfine) spin…

Quantum Gases · Physics 2015-05-14 S. Floerchinger

We study the thermodynamics of two-stroke heat engines where two bosonic modes $a$ and $b$ are coupled by the general nonlinear interaction $V_{\theta} = \exp {(\theta a^{\dagger n}b^m -\theta^* a^n b^{\dagger m})}$. By adopting the…

Quantum Physics · Physics 2025-05-21 Giovanni Chesi , Chiara Macchiavello , Massimiliano Federico Sacchi

We present an approach to generalised fermionic statistics which relates the existence of a generalised statistical behaviour to non-invariant ground states. Considering the thermal average of an operatorial generalization of the Heisenberg…

Statistical Mechanics · Physics 2009-10-31 Roberto Mignani , Roberto Scipioni

Developing a thermodynamic theory of computation is a challenging task at the interface of non-equilibrium thermodynamics and computer science. In particular, this task requires dealing with difficulties such as stochastic halting times,…

Statistical Mechanics · Physics 2024-05-14 Gonzalo Manzano , Gülce Kardeş , Édgar Roldán , David Wolpert