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We study the stability in finite times of the trajectories of interacting particles. Our aim is to show that in average and uniformly in the number of particles, two trajectories whose initial positions in phase space are close, remain…

Analysis of PDEs · Mathematics 2013-05-10 Julien Barré , Maxime Hauray , Pierre-Emmanuel Jabin

Metastable structures in macromolecular and colloidal systems are non-equilibrium states that often have long lifetimes and cause difficulties in simulating equilibrium. In order to escape from the long-lived metastable states, we propose a…

Soft Condensed Matter · Physics 2011-06-09 Yuki Norizoe , Toshihiro Kawakatsu

At low temperature a thermodynamic system undergoes a phase transition when a physical parameter passes through a singularity point of the free energy, corresponding to formation of a new order. At high temperature the thermal fluctuations…

Statistical Mechanics · Physics 2014-06-17 Bo-Bo Wei , Shao-Wen Chen , Hoi-Chun Po , Ren-Bao Liu

The Josephson junction phase qubit has been shown to be a viable candidate for quantum computation. In recent years, the two coupled phase system has been extensively studied theoretically and experimentally. We have analyzed the quantum…

Superconductivity · Physics 2009-08-21 Zechariah E. Thrailkill , S. T. Kennerly , R. C. Ramos

We show how the stability conditions for a system of interacting fermions that conventionally involve variations of thermodynamic potentials can be rewritten in terms of one- and two-particle correlators. We illustrate the applicability of…

Strongly Correlated Electrons · Physics 2024-08-09 A. Kowalski , M. Reitner , L. Del Re , M. Chatzieleftheriou , A. Amaricci , A. Toschi , L. de' Medici , G. Sangiovanni , T. Schäfer

Entanglement within a given device provides a potential resource for quantum information processing. Entanglement between system and environment leads to decoherence (thus suppressing non-classical features within the system) but also opens…

Quantum Physics · Physics 2007-05-23 Guenter Mahler , Jochen Gemmer , Mathias Michel

A bipartite system whose subsystems are fully quantum chaotic and coupled by a perturbative interaction with a tunable strength is a paradigmatic model for investigating how isolated quantum systems relax towards an equilibrium. It is found…

The amount of correlation attainable between the components of a quantum system is constrained if the system is closed. We provide some examples, largely from the field of quantum thermodynamics, where knowing the maximal possible variation…

Quantum Physics · Physics 2012-04-30 Sania Jevtic , David Jennings , Terry Rudolph

We computed the phase diagram for a system of model anisotropic particles with six attractive patches in an octahedral arrangement. We chose to study this model for a relatively narrow value of the patch width where the lowest-energy…

Soft Condensed Matter · Physics 2013-06-26 E. G. Noya , C. Vega , J. P. K. Doye , A. A. Louis

Carbon dioxide (CO2) hydrates hold promising applications in capturing and separating CO2 for climate change mitigation. Understanding their behavior at the molecular level is therefore essential, and computer simulations have become…

Equilibrium phase transitions usually emerge from the microscopic behavior of many-body systems and are associated to interesting phenomena such as the generation of long-range order and spontaneous symmetry breaking. They can be defined…

Quantum Physics · Physics 2023-03-24 Emmanouil Grigoriou , Carlos Navarrete-Benlloch

We study the thermodynamic properties of four-component fermionic mixtures described by the Hubbard model using the dynamical mean-field-theory approach. Special attention is given to the system with SU(4)-symmetric interactions at half…

Quantum Gases · Physics 2017-03-09 A. Golubeva , A. Sotnikov , A. Cichy , J. Kuneš , W. Hofstetter

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

When a quantum system is placed in thermal environments, we often assume that the system relaxes to the Gibbs state in which decoherence takes place in the system energy eigenbasis. However, when the coupling between the system and the…

Quantum Physics · Physics 2019-12-03 Ketan Goyal , Ryoichi Kawai

We consider a four-parameter family of point interactions in one dimension. This family is a generalization of the usual $\delta$-function potential. We examine a system consisting of many particles of equal masses that are interacting…

Quantum Physics · Physics 2008-11-26 F A B Coutinho , Y Nogami , Lauro Tomio

We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional "tubes". For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse.…

Other Condensed Matter · Physics 2009-09-05 F. M. Marchetti , Th. Jolicoeur , M. M. Parish

We analyze the separability of the joint state of a collection of two-level systems at finite temperature T. The fact that only separable states are found in the neighborhood of their thermal equilibrium state guarantees that decoherence…

Quantum Physics · Physics 2007-07-24 Ting Yu , J. H. Eberly

Modern materials are often synthesized or operated in complex chemical environments, where there can be numerous elemental species, competing phases, and reaction pathways. When analyzing reactions using the Gibbs free energy, which has a…

Materials Science · Physics 2024-04-10 Jiadong Chen , Matthew J. Powell-Palm , Wenhao Sun

To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a polynomial of the fourth degree may not be sufficient. The…

Materials Science · Physics 2025-01-20 P. O. Mchedlov-Petrosyan , L. N. Davydov , O. A. Osmaev

We inquire about the possible coexistence of macroscopic and microstructured phases in random Q-block copolymers built of incompatible monomer types A and B with equal average concentrations. In our microscopic model, one block comprises M…

Soft Condensed Matter · Physics 2011-09-05 Alice von der Heydt , Marcus Müller , Annette Zippelius
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