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A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Finite systems such as atomic nuclei present at phase transition specific features different from those observed at the thermodynamic limit. Several characteristic signals were found in samples of events resulting from heavy ion collisions…

Probability of finding negative energy states in a hydrogen atom is decreased when the nucleus is extended. Reduced electron Compton wavelength is the characteristic size of the region around the nucleus where negative energy contributions…

High Energy Physics - Phenomenology · Physics 2022-07-18 Andrzej Czarnecki

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system…

Condensed Matter · Physics 2009-11-07 N. Majd , A. Aghamohammadi , M. Khorrami

Microcanonical statistics can be well applied to non-extensive systems like nuclei, atomic clusters and systems at phase transitions of first order with inhomogeneous configurations like phase separation. No thermodynamic limit has to be…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross

Conventional thermo-statistics address infinite homogeneous systems within the canonical ensemble. However, some 170 years ago the original motivation of thermodynamics was the description of steam engines, i.e. boiling water. Its essential…

Statistical Mechanics · Physics 2009-11-11 D. H. E. Gross

The principle that heat spontaneously flows from higher temperature to lower temperature is a cornerstone of classical thermodynamics, often assumed to be independent of the sequence of interactions. While this holds true for macroscopic…

First-order phase transitions exist in many models beyond the Standard Model and can generate detectable stochastic gravitational waves for a strong one. Using the cosmological observables in big bang nucleosynthesis and cosmic microwave…

High Energy Physics - Phenomenology · Physics 2022-05-25 Yang Bai , Mrunal Korwar

The one-loop effective potential for gauge models in static de Sitter space at finite temperatures is computed by means of the $\zeta$--function method. We found a simple relation which links the effective potentials of gauge and scalar…

High Energy Physics - Theory · Physics 2016-09-06 Lara De Nardo , Dmitri V. Fursaev , Gennaro Miele

The nuclear liquid-gas transition at normal nuclear densities, $n \sim n_0 = 0.16$ fm$^{-3}$, and small temperatures, $T \sim 20$ MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A…

High Energy Physics - Phenomenology · Physics 2020-03-25 Oleh Savchuk , Volodymyr Vovchenko , Roman V. Poberezhnyuk , Mark I. Gorenstein , Horst Stoecker

We provide the theoretical basis of calorimetry for a class of active particles subject to thermal noise. Simulating AC-calorimetry, we numerically evaluate the heat capacity of run-and-tumble particles in double-well and in periodic…

Statistical Mechanics · Physics 2023-05-24 Pritha Dolai , Christian Maes , Karel Netočný

We show that, in general, any complex weakly nonlinear highly multimode system can reach thermodynamic equilibrium that is characterized by a unique temperature and chemical potential. The conditions leading to either positive or negative…

A systematic analysis of low temperature magnetic phase diagrams of Ce compounds is performed in order to recognize the thermodynamic conditions to be fulfilled by those systems to reach a quantum critical regime and, alternatively, to…

Strongly Correlated Electrons · Physics 2015-06-04 Julian G. Sereni

The finite temperature electroweak phase transition is studied on the lattice. The results of the simulations obtained by the 3-dimensional effective theories and the 4-dimensional SU(2)-Higgs model are reviewed.

High Energy Physics - Lattice · Physics 2016-09-01 Z. FODOR

Small changes in an external parameter can often lead to dramatic qualitative changes in the lowest energy quantum mechanical ground state of a correlated electron system. In anisotropic crystals, such as the high temperature…

Strongly Correlated Electrons · Physics 2009-10-31 Subir Sachdev

We study the finite temperature electroweak phase transition with lattice perturbation theory and Monte Carlo techniques. Dimensional reduction is used to approximate the full four-dimensional SU(2) + a fundamental doublet Higgs theory by…

High Energy Physics - Phenomenology · Physics 2009-10-22 K. Kajantie , K. Rummukainen , M. Shaposhnikov

Quantum size effect-induced heat capacity of metal nanoparticles at low temperatures was predicted 79 years ago to be exponential. This, however, has not been reported until date. In defiance, we demonstrate here observation of…

The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in…

High Energy Physics - Lattice · Physics 2008-11-26 Hildegard Meyer-Ortmanns

Experimentally there exist many materials with first-order phase transitions at finite temperature that display quantum criticality. Classically a strain-energy density coupling is known to drive first-order transitions in compressible…

Strongly Correlated Electrons · Physics 2021-01-04 Premala Chandra , Piers Coleman , Mucio A. Continentino , Gilbert G. Lonzarich

QCD at finite temperature and density is becoming increasingly important for various experimental programmes, ranging from heavy ion physics to astro-particle physics. The non-perturbative nature of non-abelian quantum field theories at…

High Energy Physics - Lattice · Physics 2009-11-02 Owe Philipsen