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The accurate determination of transport coefficients in numerical simulations is becoming increasingly important in a wide range of applications. Here we consider the linear response in systems driven away from thermal equilibrium into a…

Statistical Mechanics · Physics 2016-08-24 Thomas Speck

A unified equation of state for quark-hadron matter is presented in the generalized Beth-Uhlenbeck form. It follows from a $\Phi-$derivable approach to the thermodynamic potential where the ansatz for the $\Phi$ functional contains all 2PI…

High Energy Physics - Phenomenology · Physics 2017-12-05 D. Blaschke , A. Dubinin , L. Turko

We present a universal thermodynamic framework for quantum systems that may be strongly coupled to thermal environments. Unlike previous approaches, our method enables a clear definition of thermostatic properties while preserving the same…

Quantum Physics · Physics 2026-04-16 Ignacio González , Sagnik Chakraborty , Ángel Rivas

We consider a one-dimensional run-and-tumble particle (RTP) confined by an external potential and coupled to a thermal reservoir. Starting from the corresponding Fokker-Planck equation, we derive an explicit expression for the local entropy…

Statistical Mechanics · Physics 2025-09-11 Oded Farago

We study non-homogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means of generalized hydrodynamics (GHD), we analyze in detail the real-time evolution…

Statistical Mechanics · Physics 2022-11-01 Stefano Scopa , Pasquale Calabrese , Lorenzo Piroli

The equation of state for quark-gluon plasma is obtained, being valid for arbitrary values of the coupling parameter and of temperature. This equation is constructed from perturbative expansions for free energy and for renormalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova

Non-ideal state equations are needed to compute a growing number of engineering-relevant problems. The additional computational overhead from the complex thermodynamics accounts for a significant portion of the total computation, especially…

Computational Physics · Physics 2018-01-23 Sai Praneeth , Jean-Pierre Hickey

Thermodynamics is a science concerning the state of a system, whether it is stable, metastable, or unstable. The combined law of thermodynamics derived by Gibbs about 150 years ago laid the foundation of thermodynamics. In Gibbs combined…

Statistical Mechanics · Physics 2023-08-03 Zi-Kui Liu

The thermodynamics of small quantum many-body systems strongly coupled to a heat bath at low temperatures with non-Markovian behavior are new challenges for quantum thermodynamics, as traditional thermodynamics is built on large systems…

Quantum Physics · Physics 2019-04-23 Jen-Tsung Hsiang , B. L. Hu

In the research of condensed matter, atomistic dynamic simulations play a crucial role, particularly in revealing dynamic processes, phase transitions and thermodynamic statistics macroscopic physical properties in systems such as solids…

Materials Science · Physics 2025-05-30 Hongyu Wu , Wenliang Shi , Ri He , Guoyong Shi , Chunxiao Zhang , Zhicheng Zhong , Run-wei Li

This review presents a thermodynamic perspective on quantum coupled transport processes in nanoscale systems. Our analysis is formulated within the framework of entropy production rate, the central quantity governing non-equilibrium…

Quantum Physics · Physics 2026-03-09 Shuvadip Ghosh , Arnab Ghosh

We present a physical formulation, and a numerical algorithm, based on a class of general order parameters for simulating the motion of a mixture of $N$ ($N\geqslant 2$) immiscible incompressible fluids with given densities, dynamic…

Fluid Dynamics · Physics 2014-12-17 Suchuan Dong

The equations of state for an ideal generalized gas, like an ideal quantum gas, are expressed in terms of power laws of the temperature. The reduction of an ideal generalized gas to an ideal classical case occurs when the characteristic…

Statistical Mechanics · Physics 2015-06-25 B. H. Lavenda

We use molecular simulation to compute the thermodynamic properties of 7 rigid models for water (SPC/E, TIP3P, TIP4P, TIP4P/2005, TIP4P/Ew, TIP5P, OPC) over a wide range of temperature and pressure. Carrying out Expanded Wang-Landau…

Soft Condensed Matter · Physics 2021-08-19 Caroline Desgranges , Jerome Delhommelle

We develop a path-integral dynamics method for water that resembles centroid molecular dynamics (CMD), except that the centroids are averages of curvilinear, rather than cartesian, bead coordinates. The curvilinear coordinates are used…

Chemical Physics · Physics 2019-09-04 George Trenins , Michael J. Willatt , Stuart C. Althorpe

We study a model of a general compressible viscous fluid subject to the Coulomb friction law boundary condition. For this model, we introduce a dissipative formulation and prove the existence of dissipative solutions. The proof of this…

Analysis of PDEs · Mathematics 2024-02-22 Sarka Necasova , Justyna Ogorzaly , Jan Scherz

Within the framework of thermofield dynamics, we construct a thermalized coherent thermal state, which is a general type of the coherent state with the thermal effects and can be presumably produced experimentally. The wavefunction and the…

Quantum Physics · Physics 2007-05-23 Wen-Fa Lu

An Equation of State (\textit{EoS}) closes the set of fluid equations. Although an ideal EoS with a constant \textit{adiabatic index} $\Gamma$ is the preferred choice due to its simplistic implementation, many astrophysical fluid…

Instrumentation and Methods for Astrophysics · Physics 2015-08-19 B. Vaidya , A. Mignone , G. Bodo , S. Massaglia

Thermofield dynamics (TFD) approach is a real time quantum field method for dealing with finite temperature quantum states in a purified version of usual density operator formalism at finite temperature. In the domain of quantum…

Quantum Physics · Physics 2015-02-13 T. Prudencio , T. M. Rocha Filho , A. E. Santana

Thermal quantum time-correlation functions are of fundamental importance in quantum dynamics, allowing experimentally-measurable properties such as reaction rates, diffusion constants and vibrational spectra to be computed from first…

Chemical Physics · Physics 2017-07-25 Timothy J. H. Hele
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