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Related papers: Entropy production in Gaussian thermostats

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For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

Statistical Mechanics · Physics 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctuations are uncontrolled and might break the equivalence. We…

Mathematical Physics · Physics 2007-05-23 D. Ruelle

We propose an alternative method to compute the entropy production of a classical underdamped nonequilibrium system in a continuous phase space. This approach has the advantage that it is not necessary to distinguish between even and…

Statistical Mechanics · Physics 2013-10-23 David Luposchainsky , Haye Hinrichsen

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

Statistical Mechanics · Physics 2013-05-30 Ian J. Ford , Richard E. Spinney

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

In this paper, we consider the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and fractional vertical thermal diffusion. Global existence of classical solutions is established when the dissipation…

Analysis of PDEs · Mathematics 2019-09-09 Zhuan Ye

We prove that Gaussian thermal input states minimize the output von Neumann entropy of the one-mode Gaussian quantum-limited attenuator for fixed input entropy. The Gaussian quantum-limited attenuator models the attenuation of an…

Quantum Physics · Physics 2016-12-22 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

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

We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear…

Statistical Mechanics · Physics 2025-05-30 Masanao Igarashi

It is shown that a small system in thermodynamic equilibrium with a finite thermostat can have a q-exponential probability distribution which closely depends on the energy nonextensivity and the particle number of the thermostat. The…

Statistical Mechanics · Physics 2008-11-13 Congjie Ou , Wei Li , Jiulin Du , Francois Tsobnang , Jincan Chen , Alain Le Mehaute , Qiuping A. Wang

In a recent paper, Phys. Rev E 81, 041137 (2010), the author attempts to derive ten necessary conditions for stability of dissipative fluids and plasmas. Assuming the validity of the local equilibrium principle, these criteria have been…

Statistical Mechanics · Physics 2015-06-11 Giorgio Sonnino , Mustapha Tlidi , Jarah Evslin

We show for a large class of interacting particle systems that whenever the stationary measure is not reversible for the dynamics, then the mean entropy production in the steady state is strictly positive. This extends to the thermodynamic…

Statistical Mechanics · Physics 2015-05-26 C. Maes , F. Redig , M. Verschuere

We use a first-principle quantum-statistical method to derive the expression of the entropy production rate in relativistic spin hydrodynamics. We show that the entropy current is not uniquely defined and can be changed by means of…

Nuclear Theory · Physics 2024-02-28 Francesco Becattini , Asaad Daher , Xin-Li Sheng

We investigate fluctuations in the momentum flux across a surface perpendicular to the velocity gradient in a stationary shear flow maintained by either thermostated deterministic or by stochastic boundary conditions. In the deterministic…

Chaotic Dynamics · Physics 2009-11-07 Federico Bonetto , Joel Lebowitz

We generalize to non equilibrium states Onsager's minimum dissipation principle. We also interpret this principle and some previous results in terms of optimal control theory. Entropy production plays the role of the cost necessary to drive…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

Considering the curvaton field that follows dissipative slow-roll equation, we show that the field can lead to entropy production and generation of curvature perturbation after reheating. Spectral index is calculated to discriminate warm…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Tomohiro Matsuda

The phase space contraction and the entropy production rates of Hamiltonian systems in an external field, thermostatted to obtain a stationary state are considered. While for stationary states with a constant kinetic energy the two rates…

Statistical Mechanics · Physics 2009-10-30 E. G. D. Cohen , L. Rondoni

The thermodynamic uncertainty relation provides a universal lower bound on the product of entropy production and the fluctuations of any current. While proven for Markov dynamics on a discrete set of states and for overdamped Langevin…

Statistical Mechanics · Physics 2019-04-24 Hyun-Myung Chun , Lukas P. Fischer , Udo Seifert

We study the entropy production of a system with a finite number of states connected by random transition rates. The stationary entropy production, driven out of equilibrium both by asymmetric transition rates and by an external probability…

Statistical Mechanics · Physics 2017-12-13 Daniel M. Busiello , Jorge Hidalgo , Amos Maritan

The dissipation--coherence bound is a conjectured tradeoff between entropy production and the quality of stochastic oscillations. We show that this tradeoff follows from the higher-order thermodynamic uncertainty relation together with a…

Statistical Mechanics · Physics 2026-03-31 Artemy Kolchinsky