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Related papers: How many is different? Answer from ideal Bose gas

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Intermolecular polarization interactions in water are determined using a minimal atomic multipole model constructed with distributed polarizabilities. Hydrogen bonding and other properties of water-water interactions are reproduced to fine…

Atomic and Molecular Clusters · Physics 2009-11-10 Eugene V. Tsiper

The equation of state of dilute Bose gases, in which the energy only depends on the $s$-wave scattering length, is rather unknown beyond the universal limit. We have carried out a bunch of diffusion Monte Carlo calculations up to gas…

Quantum Gases · Physics 2024-07-26 Marti Planasdemunt , Jordi Pera , Jordi Boronat

In this work we study the behavior of relativistic ideal Bose and Fermi gases in two space dimensions. Making use of polylogarithm functions we derive a closed and unified expression for their densities. It is shown that both type of gases…

Condensed Matter · Physics 2009-10-31 H. Blas , B. M. Pimentel , J. L. Tomazelli

We illustrate how Bose-Einstein condensation occurs not only in momentum space but also in coordinate (or real) space. Analogies between the isotherms of a van der Waals gas of extended (or finite-diameter) identical atoms and the point (or…

Statistical Mechanics · Physics 2007-05-23 J. J. Valencia , M. de Llano , M. A. Solis

We prove Archimedes' principle for a macroscopic ball in ideal gas consisting of point particles with non-zero mass. The main result is an asymptotic theorem, as the number of point particles goes to infinity and their total mass remains…

Probability · Mathematics 2022-03-30 Krzysztof Burdzy , Jacek Małecki

We have observed Bose-Einstein condensation of molecules. When a spin mixture of fermionic Li-6 atoms was evaporatively cooled in an optical dipole trap near a Feshbach resonance, the atomic gas was converted into Li_2 molecules. Below 600…

Soft Condensed Matter · Physics 2007-05-23 M. W. Zwierlein , C. A. Stan , C. H. Schunck , S. M. F. Raupach , S. Gupta , Z. Hadzibabic , W. Ketterle

We present a scheme of analytical calculations determining the critical temperature and the number of condensed atoms of ideal gas Bose-Einstein condensation in external potentials with 1D, 2D or 3D periodicity. In particular we show that…

Other Condensed Matter · Physics 2007-05-23 G. A. Muradyan , A. Zh. Muradyan

Understanding the formation of molecules under conditions relevant to interstellar chemistry is fundamental to characterize the chemical evolution of the universe. Using reactive molecular dynamics simulations with model-based or…

Chemical Physics · Physics 2021-06-16 Meenu Upadhyay , Marco Pezzella , Markus Meuwly

Recently achieved two-component dipolar Bose-Einstein condensates open exciting possibilities for the study of mixtures of ultra-dilute quantum liquids. While non-dipolar self-bound mixtures are necessarily miscible with an approximately…

Quantum Gases · Physics 2021-03-15 R. N. Bisset , L. A. Peña Ardila , L. Santos

Water adopts many different crystal structures in its solid form. These provide insight into potential structures of water even in its liquid phase, and they can be used to calibrate pair potentials used for simulation of water. In crowded…

Chemical Physics · Physics 2025-12-30 L. Ridgway Scott

Recent investigations show that the statistical mechanics of a finite number of particles in ideal harmonic systems predicts different results for the same physical properties, depending on the ensemble under consideration. Path integral…

Statistical Mechanics · Physics 2009-10-31 L. F. Lemmens , F. Brosens , J. T. Devreese

The ideal uniform two-dimensional (2D) Fermi and Bose gases are considered both in the thermodynamic limit and the finite case. We derive May's Theorem, viz. the correspondence between the internal energies of the Fermi and Bose gases in…

Statistical Mechanics · Physics 2009-11-10 A. Swarup , B. Cowan

Guided by the analogy to the Bose-Einstein condensation of the ideal Bose gas (IBG) we propose a new model for the lambda transition of liquid helium. Deviating from the IBG our model uses phase ordered and localized single-particle…

Statistical Mechanics · Physics 2007-05-23 T. Fliessbach

For the recently introduced \mu-deformed analog of Bose gas model (\mu-Bose gas model) we study some thermodynamical aspects. Namely, we calculate total number of particles and, from it, the deformed partition function, both involving…

Statistical Mechanics · Physics 2013-09-09 A. M. Gavrilik , I. I. Kachurik , A. P. Rebesh

The phase transitions in Bose gases at constant volume and constant pressure are considered. New results for the chemical potential, the effective Landau-Ginzburg free energy and the equation of state of the Bose condensate in ideal Bose…

Quantum Physics · Physics 2009-11-10 Velin G. Ivanov , Dimo I. Uzunov

Bulk nanobubbles (NBs) generated electrochemically by short voltage pulses of alternating polarity behave differently from those produced by regular methods. Only bubbles smaller than $200\;$nm are formed in the process and their…

Soft Condensed Matter · Physics 2021-02-08 Vitaly B. Svetovoy

Because of the negative inclination of the solid-liquid phase separation line in water, ice Ih melts on compression. On further increase in pressure the liquid water transforms into a high density metastable glassy state, characterized by a…

Soft Condensed Matter · Physics 2021-04-22 Saumyak Mukherjee , Biman Bagchi

The ground state of a free standing, self-bound droplet comprising four hundred dipolar Bose particles with aligned dipole moments, with an additional purely repulsive two-body interaction, is investigated by Quantum Monte Carlo…

Quantum Gases · Physics 2022-01-05 Massimo Boninsegni

A large number of water models exists for molecular simulations. They differ in the ability to reproduce specific features of real water instead of others, like the correct temperature for the density maximum or the diffusion coefficient.…

Soft Condensed Matter · Physics 2012-06-04 Roman Shevchuk , Diego Prada-Gracia , Francesco Rao

The partition function, $U$, the number of available states in an atom or molecules, is crucial for understanding the physical state of any astrophysical system in thermodynamic equilibrium. There are surprisingly few {\em useful}…

Instrumentation and Methods for Astrophysics · Physics 2022-07-26 P. Alimohamadi , G. J. Ferland