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Canonical vs. Grand Canonical Ensemble for Bosonic Gases under Harmonic Confinement [PDF]
EntropyWe analyze the general relation between canonical and grand canonical ensembles in the thermodynamic limit. We begin our discussion by deriving, with an alternative approach, some standard results first obtained by Kac and coworkers in the late 1970s ...
Andrea Crisanti +3 more
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Titration in Canonical and Grand-Canonical Ensembles
The Journal of Physical Chemistry B, 2023 We discuss problems associated with the notion of pH in heterogeneous systems. For homogeneous systems, standardization protocols lead to a well defined quantity, which although different from Sørensen's original idea of pH, is well reproducible and has become accepted as the measure of the ``hydrogen potential".
Amin Bakhshandeh, Yan Levin
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Microscopic interpretation of generalized entropy
Physics Letters B, 2023 Generalized entropy, that has been recently proposed, puts all the known and apparently different entropies like The Tsallis, the Rényi, the Barrow, the Kaniadakis, the Sharma-Mittal and the loop quantum gravity entropy within a single umbrella. However,
Shin'ichi Nojiri +2 more
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Grand canonical ensemble of weighted networks [PDF]
Physical Review E, 2019 The cornerstone of statistical mechanics of complex networks is the idea that the links, and not the nodes, are the effective particles of the system. Here we formulate a mapping between weighted networks and lattice gasses, making the conceptual step forward of interpreting weighted links as particles with a generalised coordinate.
Gabrielli A. +3 more
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Thermodynamics of structure-forming systems
Nature Communications, 2021 Structure-forming systems, such as chemical reaction networks, are usually described with the grand-canonical ensemble, but this may be inaccurate for small-sized systems.
Jan Korbel +3 more
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Atomistic learning in the electronically grand-canonical ensemble
npj Computational Materials, 2023 A strategy is presented for the machine-learning emulation of electronic structure calculations carried out in the electronically grand-canonical ensemble.
Xi Chen +5 more
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On the Thermodynamics of Particles Obeying Monotone Statistics
Entropy, 2023 The aim of the present paper is to provide a preliminary investigation of the thermodynamics of particles obeying monotone statistics. To render the potential physical applications realistic, we propose a modified scheme called block-monotone, based on a
Fabio Ciolli +2 more
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Fluctuations in heavy ion collisions and global conservation effects [PDF]
EPJ Web of Conferences, 2023 Subensemble is a type of statistical ensemble which is the generalization of grand canonical and canonical ensembles. The subensemble acceptance method (SAM) provides general formulas to correct the cumulants of distributions in heavy-ion collisions for ...
Poberezhnyuk Roman +5 more
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Stability and Hawking-Page-like phase transition of phantom AdS black holes
European Physical Journal C: Particles and Fields, 2023 In this work, we investigate the thermodynamic stability and phase structure of AdS black holes with either a Maxwell field (where we revisit past studies) or a phantom field.
Haximjan Abdusattar
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Phase transition and heat engine efficiency of phantom AdS black holes
European Physical Journal C: Particles and Fields, 2018 Phase transition and heat engine efficiency of phantom AdS black holes are investigated with peculiar properties found. In the non-extended phase space, we probe the possibility of T–S criticality in both the canonical ensemble and grand-canonical ...
Jie-Xiong Mo, Shan-Quan Lan
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