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We analyze the behavior of the microcanonical and canonical caloric curves for a piecewise model of the configurational density of states of simple solids, in the context of melting from the superheated state, as realized numerically in the…

Statistical Mechanics · Physics 2023-11-28 Sergio Davis , Claudia Loyola , Joaquín Peralta

Low temperature dependence of specific heat of one- dimensional multicomponent systems at the commensurate- incommensurate phase transition point is studied. It is found that for canonical systems, with a fixed total number of particles,…

Strongly Correlated Electrons · Physics 2015-05-14 Temo Vekua

The thermodynamic properties of bosons moving in a harmonic trap in an arbitrary number of dimensions are investigated in the grand canonical, canonical and microcanonical ensembles by applying combinatorial techniques developed earlier in…

Condensed Matter · Physics 2007-05-23 K. C. Chase , A. Z. Mekjian , L. Zamick

We construct the thermal bounce solution in holographic models that describes first-order phase transitions between the deconfined and confined phases in strongly-coupled gauge theories. This new, periodic Euclidean solution represents…

High Energy Physics - Phenomenology · Physics 2025-10-14 Tony Gherghetta , Arpon Paul , Andrey Shkerin

Lee-Yang and Fisher zeros are crucial for the study of phase transitions in the grand canonical and the canonical ensembles, respectively. However, these powerful methods do not cover the isothermal-isobaric ensemble (NPT ensemble), which…

Statistical Mechanics · Physics 2019-11-27 Timur Aslyamov , Iskander Akhatov

We propose the use of microcanonical analyses for numerical studies of peptide aggregation transitions. Performing multicanonical Monte Carlo simulations of a simple hydrophobic-polar continuum model for interacting heteropolymers of finite…

Soft Condensed Matter · Physics 2009-11-13 Christoph Junghans , Michael Bachmann , Wolfhard Janke

An adiabatic transition between two equilibrium states corresponding to different stiffnesses in an infinite chain of particles is studied. Initially, the chain particles have random displacements and random velocities corresponding to a…

Statistical Mechanics · Physics 2020-11-04 Anton M. Krivtsov , Andrey S. Murachev

We study the thermodynamic properties of the simplest gauged permutation invariant matrix quantum mechanical system of oscillators, for general matrix size $N$. In the canonical ensemble, the model has a transition at a temperature $T$…

High Energy Physics - Theory · Physics 2025-02-18 Denjoe O'Connor , Sanjaye Ramgoolam

The microcanonical ensemble has long been a starting point for the development of thermodynamics from statistical mechanics. However, this approach presents two problems. First, it predicts that the entropy is only defined on a discrete set…

Statistical Mechanics · Physics 2017-06-07 William Griffin , Michael Matty , Robert H. Swendsen

Microcanonical analysis is a powerful method for studying phase transitions of finite-size systems. This method has been used so far only for studying phase transitions of equilibrium systems, which can be described by microcanonical…

Statistical Mechanics · Physics 2016-06-08 Julian Lee

We present for the first time to the nuclear physics community the Hamiltonian Mean Field (HMF) model. The model can be solved analytically in the canonical ensemble and shows a second-order phase transition in the thermodynamic limit.…

Nuclear Theory · Physics 2009-11-06 V. Latora , A. Rapisarda

We discuss the nature of phase transitions in self-gravitating systems both in the microcanonical and in the canonical ensemble. We avoid the divergence of the gravitational potential at short distances by considering the case of…

Statistical Mechanics · Physics 2009-11-07 P. H. Chavanis

We reaccess the droplet condensation-evaporation transition of a three-dimensional Lennard-Jones system upon a temperature change. With the help of parallel multicanonical simulations we obtain precise estimates of the transition…

Soft Condensed Matter · Physics 2017-01-13 Johannes Zierenberg , Wolfhard Janke

This paper reviews a number of fundamental connections that exist between nonequivalent microcanonical and canonical ensembles, the appearance of first-order phase transitions in the canonical ensemble, and thermodynamic metastable…

Statistical Mechanics · Physics 2017-08-23 Hugo Touchette , Richard S. Ellis

We investigate thermal and isothermal symmetric liquid-vapor separations via a FFT-Thermal Lattice Boltzmann (FFT-TLB) model. Structure factor, domain size and Minkowski functionals are employed to characterize the density and velocity…

Soft Condensed Matter · Physics 2015-05-20 Yanbiao Gan , Aiguo Xu , Guangcai Zhang , Yingjun Li

Quantum thermodynamics addresses the dynamics of heat flow in quantum devices driven out of equilibrium. Although mesoscopic circuits at low temperatures provide a flexible platform to explore this dynamics, experimental studies are wanting…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 F. Zanichelli , A. Veillon , C. Piquard , A. Aassime , Y. Sato , A. Cavanna , Y. Jin , J. Folk , U. Gennser , A. Anthore , F. Pierre

Level densities for 93-98Mo have been extracted using the (3He,alpha gamma) and (3He,3He' gamma) reactions. From the level densities thermodynamical quantities such as temperature and heat capacity can be deduced. Data have been analyzed by…

QCD at non-zero baryon density is expected to have a critical point where the zero-density cross-over turns into a first order phase transition. To identify this point we scan the density-temperature space using a canonical ensemble method.…

High Energy Physics - Lattice · Physics 2009-04-14 Anyi Li , Xiangfei Meng , Andrei Alexandru , Keh-Fei Liu

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

We show how to generalise the zero temperature Lanczos method for calculating dynamical correlation functions to finite temperatures. The key is the microcanonical ensemble, which allows us to replace the involved canonical ensemble with a…

Strongly Correlated Electrons · Physics 2009-11-10 M. W. Long , P. Prelovsek , S. El Shawish , J. Karadamoglou , X. Zotos