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We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Leboeuf , A. G. Monastra

Expectation value of dynamical variables in thermodynamically equilibrium state can be typically provided through well-known canonical average. The average includes tremendous number of possible states considered far beyond practically…

General Physics · Physics 2018-04-11 Koretaka Yuge , Shono Ohta

The influence of thermal fluctuations on fermion pairing is investigated using a semiclassical treatment of fluctuations. When the average pairing gaps along with those differing by one standard deviation are used, the characteristic…

Nuclear Theory · Physics 2018-12-27 M. A. A. Mamun , C. Constantinou , M. Prakash

A derivation of the Fluctuation-Dissipation Theorem for the microcanonical ensemble is presented using linear response theory. The theorem is stated as a relation between the frequency spectra of the symmetric correlation and response…

Statistical Mechanics · Physics 2008-09-12 Marcus V. S. Bonança

The influence of nonequilibrium bulk conditions on the properties of the interfaces exhibited by a kinetic Ising--like model system with nonequilibrium steady states is studied. The system is maintained out of equilibrium by perturbing the…

Statistical Mechanics · Physics 2009-11-10 P. I. Hurtado , P. L. Garrido , J. Marro

For classical discrete system under constant composition, typically reffered to as substitutional alloys, correspondence between interatomic many-body interactions and structure in thermodynamic equilibrium exhibit profound, complicated…

Statistical Mechanics · Physics 2024-05-29 Keigo Kamei , Koretaka Yuge

The effect of thermal fluctuations on the temperature dependence of the topological index C1 of the chiral d+id superconducting phase of a two-dimensional single-band model on a triangular lattice is investigated. Thermal fluctuations are…

Superconductivity · Physics 2025-12-10 A. G. Groshev , A. K. Arzhnikov

The effect of thermal fluctuations near a contact line of a liquid interface partially wetting an impenetrable substrate is studied analytically and numerically. Promoting both the interface profile and the contact line position to random…

Soft Condensed Matter · Physics 2016-11-15 D. Belardinelli , M. Sbragaglia , M. Gross , B. Andreotti

Standard results for the fluctuations of thermodynamic quantities are derived under the assumption of sampling identical systems that are in different, not fully equilibrated states. These results apply to fluctuations with time in a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 R. A. Serota

High temperature atomic configurations of fcc Fe-Cr-Ni alloys with alloy composition close to austenitic steel are studied in statistical thermodynamic simulations with effective interactions obtained in ab initio calculations. The latter…

Materials Science · Physics 2016-09-21 Andrei V. Ruban , Mohammad Dehghani

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

Soft Condensed Matter · Physics 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

Fluctuations of charged particle number are studied in the canonical ensemble. In the infinite volume limit the fluctuations in the canonical ensemble are different from the fluctuations in the grand canonical one. Thus, the well-known…

Nuclear Theory · Physics 2009-11-10 V. V. Begun , M. Gazdzicki , M. I. Gorenstein , O. S. Zozulya

A system of globally coupled rotors is studied in a unified framework of microcanonical and canonical ensembles. We consider the Fokker-Planck equation governing the time evolution of the system, and examine various stationary as well as…

Statistical Mechanics · Physics 2009-11-11 J. Choi , M. Y. Choi

We investigate the long-range statistical correlations, whereby discuss the nature of the undermining interacting/ noninteracting domains and associated phase transitions under variations of the quark mass and the mass scale that…

High Energy Physics - Lattice · Physics 2019-08-19 Bhupendra Nath Tiwari

Liquid-gas phase coexistence in a boundary-driven diffusive system is studied by analyzing fluctuating hydrodynamics of a density field defined on a one-dimensional lattice with a space interval $\Lambda$. When an interface width $\ell$ is…

Statistical Mechanics · Physics 2024-11-28 Shin-ichi Sasa , Naoko Nakagawa

Because of the spatially long-ranged nature of spontaneous fluctuations in thermal non-equilibrium systems, they are affected by boundary conditions for the fluctuating hydrodynamic variables. In this paper we consider a liquid mixture…

Statistical Mechanics · Physics 2015-09-21 J. M. Ortiz de Zarate , T. R. Kirkpatrick , J. V. Sengers

Molecular dynamics simulations of a quasi-harmonic solid are conducted to elucidate the meaning of temperature fluctuations in canonical systems and validate a well-known but frequently contested equation predicting the mean square of such…

Statistical Mechanics · Physics 2016-12-01 J. Hickman , Y. Mishin

The fluctuations of the atom number between a Bose-Einstein condensate and the surrounding thermal gas have been the subject of a long standing theoretical debate. This discussion is centered around the appropriate thermodynamic ensemble to…

We investigate fermionic atoms subjected to an optical lattice and coupled to a high finesse optical cavity with photon losses. A transverse pump beam introduces a coupling between the atoms and the cavity field. We explore the steady state…

We use a fluctuating hydrodynamic approach to calculate the orientation fluctuations correlation functions of a thermotropic nematic liquid crystal in a nonequilibrium state induced by a stationay heat flux. Since in this nonequilibrium…

Statistical Mechanics · Physics 2016-08-16 R. F. Rodríguez , H. Híjar