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Related papers: A statistical perspective on microsolvation

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Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

Despite the modern level of development of computational chemistry methods and techno-logical progress, fast and accurate determination of solvation free energy remains a huge problem for physical chemists. In this paper, we describe two…

Chemical Physics · Physics 2021-05-18 N. N. Kalikin , Y. A. Budkov , A. L. Kolesnikov , D. V. Ivlev , M. A. Krestyaninov , M. G. Kiselev

In the realm of statistical mechanics, it has been established that there is no distinction between the micro-canonical and canonical ensembles in the thermodynamic limit. However, this paradigm may alter when addressing statistical…

Statistical Mechanics · Physics 2023-11-21 Jinwu Ye

We study dipolarly coupled three dimensional spin systems in both the microcanonical and the canonical ensembles by introducing appropriate numerical methods to determine the microcanonical temperature and by realizing a canonical model of…

Statistical Mechanics · Physics 2020-03-18 Vazha Loladze , Thierry Dauxois , Ramaz Khomeriki , Stefano Ruffo

Chemical thermodynamic models of solvent and solute activities predict the equilibrium behaviour of aqueous solutions. How-ever, these models are semi-empirical. They represent micro-scale ion and solvent behaviours that control the…

Chemical Physics · Physics 2022-01-26 Xiangwen Wang , Simon L. Clegg , Devis Di Tommaso

The stochastic thermodynamics of systems with a few degrees of freedom has been studied extensively so far. We would like to extend the study to systems with more degrees of freedom and even further-continuous fields with infinite degrees…

Statistical Mechanics · Physics 2023-06-21 Yu-Xin Wu , Jin-Fu Chen , Ji-Hui Pei , Fan Zhang , H. T. Quan

The wavelength of a periodic spatial structure of Turing type is an intrinsic property of the considered reaction-diffusion dynamics and we address the question of its control at the microscopic scale for given dynamical parameters. The…

Pattern Formation and Solitons · Physics 2018-09-26 Gabriel Morgado , Bogdan Nowakowski , Annie Lemarchand

The thermodynamic properties of systems with long-range interactions is still an ongoing challenge, both from the point of view of theory as well as computer simulation. In this work we study a model system, a Coulomb gas confined inside a…

Statistical Mechanics · Physics 2020-11-04 Sergio Davis , Jalaj Jain , Biswajit Bora

In this article we investigate the long time behavior of solutions to a class of infinitely many master equations defined from transition rates that are suitable for the description of a quantum system approaching thermodynamical…

Mathematical Physics · Physics 2021-11-22 Sabine Bögli , Pierre-A. Vuillermot

We consider the statistical mechanics of a small gaseous system subject to a constant external field. As is well known, in the canonical ensemble the system i) obeys a barometric formula for the density profile and ii) the kinetic…

Statistical Mechanics · Physics 2015-06-23 Alberto Salazar , Hernán Larralde , Francois Leyvraz

Conventional thermo-statistics address infinite homogeneous systems within the canonical ensemble. However, some 170 years ago the original motivation of thermodynamics was the description of steam engines, i.e. boiling water. Its essential…

Statistical Mechanics · Physics 2007-05-23 D. H. E. Gross

We propose a new approach to justify the use of the microcanonical ensemble for isolated macroscopic quantum systems. Since there are huge number of independent observables in a macroscopic system, we cannot see all of them. Actually what…

Statistical Mechanics · Physics 2008-02-25 Ayumu Sugita

Aggregation transitions in disordered mesoscopic systems play an important role in several areas of knowledge, from materials science to biology. The lack of a thermodynamic limit in systems that are intrinsically finite makes the…

Statistical Mechanics · Physics 2022-02-25 L. F. Trugilho , L. G. Rizzi

We describe a Monte Carlo scheme for simulating polydisperse fluids within the grand canonical ensemble. Given some polydisperse attribute $\sigma$, the state of the system is described by a density distribution $\rho(\sigma)$ whose form is…

Statistical Mechanics · Physics 2007-05-23 Nigel B. Wilding , Peter Sollich

Lack of knowledge about the detailed many-particle motion on the microscopic scale is a key issue in any theoretical description of a macroscopic experiment. For systems at or close to thermal equilibrium, statistical mechanics provides a…

Statistical Mechanics · Physics 2016-03-03 Peter Reimann

We report microcanonical Monte Carlo simulations of melting and superheating of a generic, Lennard-Jones system starting from the crystalline phase. The isochoric curve, the melting temperature $T_m$ and the critical superheating…

Statistical Mechanics · Physics 2017-03-20 Sergio Davis , Gonzalo Gutiérrez

We present a geometric and dynamical approach to the micro-canonical ensemble of classical Hamiltonian systems. We generalize the arguments in \cite{Rugh} and show that the energy-derivative of a micro-canonical average is itself…

chao-dyn · Physics 2009-10-30 Hans Henrik Rugh

Under the conditions of weak Langmuir turbulence, a self-consistent wave-particle Hamiltonian models the effective nonlinear interaction of a spectrum of M waves with N resonant out-of-equilibrium tail electrons. In order to address its…

Plasma Physics · Physics 2015-06-26 M. -C. Firpo , F. Leyvraz , G. Attuel

There exists a wide variety of works on the dynamics of large populations ranging from simple heuristic modeling to those based on advanced computer supported methods. Their interconnections, however, remain mostly vague, which…

Dynamical Systems · Mathematics 2023-04-27 Yuri Kozitsky , Krzysztof Pilorz

It has recently been shown, by application of statistical mechanical methods to determine the canonical ensemble governing the equilibrium distribution of operator initial values, that complex quantum field theory can emerge as a…

High Energy Physics - Theory · Physics 2009-10-30 Stephen L. Adler , L. P. Horwitz