# Energy–pressure relation for low-dimensional gases

@article{Mancarella2014EnergypressureRF,
title={Energy–pressure relation for low-dimensional gases},
author={Francesco Antonio Mancarella and Giuseppe Mussardo and Andrea Trombettoni},
journal={Nuclear Physics},
year={2014},
volume={887},
pages={216-245}
}
• Published 30 June 2014
• Physics
• Nuclear Physics

## Figures from this paper

Thermodynamics of noninteracting bosonic gases in cubic optical lattices versus ideal homogeneous Bose gases
• Physics
• 2015
We have studied the thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. By deriving
Thermodynamic Properties of the Spin S = 1/2 Fermi Gas
The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low-
Dilational Symmetry-Breaking in Thermodynamics
• Mathematics
• 2016
Using thermodynamic relations and dimensional analysis we derive a general formula for the thermodynamical trace $2\mathcal{E}-DP$ for non-relativistic systems and $\mathcal{E-DP}$ for relativistic
Beyond Gross-Pitaevskii equation for 1D gas: quasiparticles and solitons
• Physics
SciPost Physics
• 2022
Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose
Virial Theorem for Nonrelativistic Quantum Fields in Spatial Dimensions
• Mathematics
• 2015
The virial theorem for nonrelativistic complex fields in spatial dimensions and with arbitrary many-body potential is derived, using path-integral methods and scaling arguments recently developed to
Conjectures about the structure of strong- and weak-coupling expansions of a few ground-state observables in the Lieb-Liniger and Yang-Gaudin models
• G. Lang
• Mathematics, Physics
SciPost Physics
• 2019
In this paper, we apply experimental number theory to two integrable quantum models in one dimension, the Lieb-Liniger Bose gas and the Yang-Gaudin Fermi gas with contact interactions. We identify
How to Obtain a Mass of a Graviton, and Does This Methodology Lead to Voids?
Using the Klauder enhanced quantization as a way to specify the cosmological constant as a baseline for the mass of a graviton, we eventually come up and then we will go to the relationship of a
Finite temperature off-diagonal long-range order for interacting bosons
• Physics
• 2020
Characterizing the scaling with the total particle number ($N$) of the largest eigenvalue of the one--body density matrix ($\lambda_0$), provides informations on the occurrence of the off-diagonal

## References

SHOWING 1-10 OF 133 REFERENCES
Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance.
• Physics
The Journal of chemical physics
• 2009
The development of the theoretical understanding of strongly correlating liquids--those whose instantaneous potential energy and virial are more than 90% correlated in their thermal equilibrium fluctuations at constant volume--is continued.
Pressure-energy correlations in liquids. II. Analysis and consequences.
• Physics
The Journal of chemical physics
• 2008
It is demonstrated that the potential may be replaced, at fixed volume, by an effective power law but not simply because only short-distance encounters dominate the fluctuations, as well as the presence of the correlations in model biomembranes, showing that significant correlations may be present even in quite complex systems.
Pressure-energy correlations in liquids. I. Results from computer simulations.
• Physics
The Journal of chemical physics
• 2008
It is shown that a number of model liquids at fixed volume exhibit strong correlations between equilibrium fluctuations of the configurational parts of (instantaneous) pressure and energy, and in which systems these correlations are significant.
Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid phase diagrams.
• Mathematics
The Journal of chemical physics
• 2009
The concept of "isomorphic" curves in the phase diagram is introduced and it is shown that after a jump between isomorphic state points the system is instantaneously in thermal equilibrium; consequences of this for generic aging experiments are discussed.
Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems.
• Mathematics
The Journal of chemical physics
• 2011
Using the fact that reduced-unit radial distribution functions are isomorph invariant, an expression for the shapes of isomorphs in the WU phase diagram of generalized Lennard-Jones systems of one or more types of particles is derived.
Statistical interparticle potential of an ideal gas of non-Abelian anyons
• Physics
• 2013
We determine and study the statistical interparticle potential of an ideal system of non-Abelian Chern?Simons (NACS) particles, comparing our results with the corresponding results of an ideal gas of
Introduction to the Statistical Physics of Integrable Many-body Systems
• Physics
• 2013
Including topics not traditionally covered in literature, such as (1+1)-dimensional QFT and classical 2D Coulomb gases, this book considers a wide range of models and demonstrates a number of
Universal thermodynamics of degenerate quantum gases in the unitarity limit.
• T. Ho
• Physics
Physical review letters
• 2004
A "universality hypothesis" for the relevant energy scales which is supported by experiments and can be proven in the Boltzmann regime implies a universal form for the grand potential, which is specified by only a few universal numbers in the degenerate limit.