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We propose a method to evaluate the Gibbs free energy from constant-volume first-principles phonon calculations. The volume integral of the pressure is performed by determining the volume and the bulk modulus in equilibrium at finite…

Materials Science · Physics 2025-07-02 Kota Hashimoto , Tomonori Tanaka , Yoshihiro Gohda

An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for…

Statistical Mechanics · Physics 2007-11-21 I. V. Pylyuk

In this paper, we review the physical concepts of the nonequilibrium techniques for the calculation of free energies applied to magnetic systems using Monte Carlo simulations of different nonequilibrium processes. The methodology allows the…

Statistical Mechanics · Physics 2019-05-01 Samuel Cajahuaringa , Alex Antonelli

In this letter we present a calculation of the temperature-pressure phase diagram of Si in a range of pressures covering from -5 to 20 GPa and temperatures up to the melting point. The phase boundaries and triple points between the diamond,…

Materials Science · Physics 2009-11-11 M. Kaczmarski , O. N. Bedoya-Martinez , E. R. Hernandez

The replica method has been used to calculate the interface free energy associated with the change from periodic to anti-periodic boundary conditions in finite-dimensional spin glasses. At mean-field level the interface free energy vanishes…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Aspelmeier , M. A. Moore , A. P. Young

By taking the nucleon-to-quark phase transition within a neutron star as an example, we present a thermodynamically consistent method to calculate the equation of state of ambient matter so that transitions that are intermediate to those of…

Nuclear Theory · Physics 2023-04-26 Constantinos Constantinou , Tianqi Zhao , Sophia Han , Madappa Prakash

Extending to continuous potentials a cleaving wall molecular-dynamics simulation method recently developed for the hard-sphere system [Phys.Rev.Lett 85, 4751 (2000)], we calculate the crystal-melt interfacial free energies, $\gamma$, for a…

Materials Science · Physics 2009-11-10 Ruslan L. Davidchack , Brian B. Laird

The curvature dependence of interfacial free energy, which is crucial in quantitatively predicting nucleation kinetics and the stability of bubbles and droplets, can be described in terms of the Tolman length {\delta}. For solid-liquid…

Statistical Mechanics · Physics 2018-08-01 Bingqing Cheng , Michele Ceriotti

We consider membranes adhered through specific receptor-ligand bonds. Thermal undulations of the membrane induce effective interactions between adhesion sites. We derive an upper bound to the free energy that is independent of interaction…

Soft Condensed Matter · Physics 2011-07-04 Thomas Speck

A melting transition for a system of hard spheres interacting by a repulsive Yukawa potential of DLVO form is studied. To find the location of the phase boundary, we propose a simple theory to calculate the free energies for the coexisting…

Condensed Matter · Physics 2015-06-25 P. S. Kuhn , A. Diehl , Y. Levin , M. C. Barbosa

Inspired by thermodynamic integration, we propose a method for the calculation of time-independent free energy profiles from history-dependent biased simulations via Mean Force Integration (MFI). MFI circumvents the need for computing the…

Statistical Mechanics · Physics 2020-01-08 Veselina Marinova , Matteo Salvalaglio

We calculate the symmetry energy in cold dense matter both in the normal quark phase and in the 2-color superconductor (2SC) phase. For the normal phase, the thermodynamic potential is calculated by using hard dense loop (HDL) resummation…

Nuclear Theory · Physics 2015-12-09 Kie Sang Jeong , Su Houng Lee

Gibbs energy representations for ice III, V and VI are reported. These were constructed using new measurements of volumes at high pressure over a range of low temperatures combined with calculated vibrational energies grounded in…

To study temperature dependent elastic constants, a new computational method is proposed by combining continuum elasticity theory and first principles calculations. A Gibbs free energy function with one variable with respect to strain at…

Materials Science · Physics 2015-06-03 Tianjiao Shao , Bin Wen , Roderick Melnik , Shan Yao , Yoshiyuki Kawazoe , Yongjun Tian

We consider the free energy difference restricted to a finite volume for certain pairs of incongruent thermodynamic states (if they exist) in the Edwards-Anderson Ising spin glass at nonzero temperature. We prove that the variance of this…

Mathematical Physics · Physics 2015-06-19 Louis-Pierre Arguin , Charles M. Newman , Daniel L. Stein , Janek Wehr

We consider the energy release associated with first-order transition by Gibbs construction and present such energy release as an accumulation of a series of tiny binding energy differences between over-compressed states and stable ones.…

High Energy Physics - Phenomenology · Physics 2008-12-13 Zheng Xiaoping , Zhang Li , Zhou Xia , Kang Miao

With the help of metadynamics it is possible to calculate efficiently the free energy of systems displaying high energy barriers as a function of few selected "collective variables". In doing this, the contribution of all the other degrees…

Statistical Mechanics · Physics 2009-11-13 Guido Tiana

Equations that govern the temperature-dependence of the rate constants, Gibbs energies,enthalpies, entropies and heat capacities of activation for folding and unfolding of spontaneously-folding fixed two-state systems have been derived…

Soft Condensed Matter · Physics 2016-05-11 Robert S. Sade

We propose a general method (based on the Wang-Landau algorithm) to compute numerically free energies that are obtained from the logarithm of the ratio of suitable partition functions. As an application, we determine with high accuracy the…

Statistical Mechanics · Physics 2011-11-28 A. Hietanen , B. Lucini

Thermodynamic phase transitions, a central concept in physics and chemistry, are typically controlled by an interplay of enthalpic and entropic contributions. In most cases, the estimation of the enthalpy in simulations is straightforward…

Soft Condensed Matter · Physics 2025-10-30 Yamin Ben-Shimon , Barak Hirshberg , Yohai Bar-Sinai