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The determination of the Landau free energy (the grand thermodynamic potential) by a perturbation theory is advanced to arbitrary order for the specific case of non-interacting fermionic systems perturbed by a one-particle potential.…

Statistical Mechanics · Physics 2018-07-11 Cezary Sliwa , Tomasz Dietl

Using molecular dynamics simulations and integral equations (Rogers-Young, Percus-Yevick and hypernetted chain closures) we investigate the thermodynamic of particles interacting with continuous core-softened intermolecular potential.…

Soft Condensed Matter · Physics 2007-05-23 Alan B. de Oliveira , Paulo A. Netz , Thiago Colla , Marcia C. Barbosa

Active matter generates order or patterns through nonequilibrium dynamics. An open research challenge is to determine how efficiently a nonequilibrium self-organising system can convert consumed energy into macroscopic order. We study an…

Adaptation and Self-Organizing Systems · Physics 2026-05-07 Qianyang Chen , Mikhail Prokopenko

The concept of effective temperatures in nonequilibrium systems is studied within an exactly solvable model of non-Markovian diffusion. The system is coupled to two heat baths which are kept at different temperatures: one ('fast') bath…

Statistical Mechanics · Physics 2009-11-11 Patrick Ilg , J. -L. Barrat

The method of many body Green's functions is used to derive algebraic expressions for the different elastic and thermodynamical quantities such as the free energy, internal energy, entropy, heat capacity, elastic constants (adiabatic and…

Other Condensed Matter · Physics 2016-07-12 Ville J. Härkönen

Building on nonintrinsic Landau theory, we introduce continuum free-energy computing as a new computing paradigm in which problem instances are encoded in programmable free-energy functionals and solved by intrinsic relaxational dynamics.…

Statistical Mechanics · Physics 2026-03-31 Trey Li

In this work, we study the stochastic thermodynamics of micro-magnetic systems. We first formulate the stochastic dynamics of micro-magnetic systems by incorporating noises into Landau-Lifshitz (LL) equation, which describes the…

Statistical Mechanics · Physics 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

We present a general formalism able to derive the kinetic equations of polymer dynamics. It is based on the application of nonequilibrium thermodynamics to analyze the irreversible processes taking place in the conformational space of the…

Soft Condensed Matter · Physics 2009-11-07 J. M. Rubi , A. Perez-Madrid

Soft solids with tunable mechanical response are at the core of new material technologies, but a crucial limit for applications is their progressive aging over time, which dramatically affects their functionalities. The generally accepted…

Soft Condensed Matter · Physics 2017-08-02 Mehdi Bouzid , Jader Colombo , Lucas Vieira Barbosa , Emanuela Del Gado

Numerical algorithms are proposed for simulating the Brownian dynamics of charged particles in an external magnetic field, taking into account the Brownian motion of charged particles, damping effect and the effect of magnetic field…

Computational Physics · Physics 2009-05-21 L. J. Hou , Z. L. Mišković , A. Piel , P. K. Shukla

When studying high-dimensional dynamical systems such as macromolecules, quantum systems and polymers, a prime concern is the identification of the most probable states and their stationary probabilities or free energies. Often, these…

Data Analysis, Statistics and Probability · Physics 2013-01-01 Hao Wu , Frank Noé

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

Statistical Mechanics · Physics 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

Numerical Analysis · Mathematics 2018-08-15 Jisheng Kou , Shuyu Sun

The thermodynamics of an electrically charged, multicomponent fluid with spontaneous electric dipoles and magnetic moments is analysed in the presence of electromagnetic fields. Taking into account the chemical composition of the current…

Statistical Mechanics · Physics 2015-06-15 Sylvain D. Brechet , Jean-Philippe Ansermet

A nonlinear transformation approach is formulated for the correlated fermions' thermodynamics through a medium-scaling effective action. An auxiliary implicit variable-effective chemical potential is introduced to characterize the…

Statistical Mechanics · Physics 2009-10-20 Ji-sheng Chen

The coexistence of different ferroelectric phases enables the tunability of the macroscopic properties and extensive applications from piezoelectric transducers to nonvolatile memories. Here we develop a thermodynamic model to predict the…

Materials Science · Physics 2022-01-26 Yang Zhang , Fei Xue , Bo Wang , Jia-Mian Hu , Shuai Dong , Jun-Ming Liu , Long-Qing Chen

This study presents a computational framework to investigate and predict the complicated multiphase properties of eco-friendly lead-free piezoelectric materials, which are crucial for sustainable technological progress. Although their…

Landau theory relates phase transitions to the minimization of the Landau functional (e.g., free energy functional), which is expressed as a power series of the order parameter. It has been shown that the critical behavior of certain…

Statistical Mechanics · Physics 2025-04-30 Krzysztof Ptaszynski , Massimiliano Esposito

We derive an equilibrium statistical theory for the macroscopic description of a ferromagnetic material at positive finite temperatures. Our formulation describes the most-probable equilibrium macrostates that yield a coherent deterministic…

Materials Science · Physics 2007-05-23 Markos A. Katsoulakis , Petr Plechac

The determination of thermal and vibrational relaxation rates of triatomic systems suitable for application in hypersonic model calculations is discussed. For this, potential energy surfaces for ground and electronically excited state…

Chemical Physics · Physics 2020-11-06 Debasish Koner , Raymond J. Bemish , Markus Meuwly