Joël Mabillard
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View article: Vacancy diffusion and the hydrodynamics of crystals
Vacancy diffusion and the hydrodynamics of crystals Open
The hydrodynamics of crystals with vacancies is developed on the basis of local-equilibrium thermodynamics, where the chemical potential of vacancies plays a key role together with a constraint relating the concentration of vacancies to th…
View article: Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions
Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions Open
The elastic and transport coefficients of a perfect face-centered cubic crystal of hard spheres are computed from the poles of the dynamic structure factor and of the spectral functions of transverse momentum density fluctuations. For such…
View article: Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions
Elastic and transport coefficients of the perfect hard-sphere crystal from the poles of the hydrodynamic spectral functions Open
The elastic and transport coefficients of a perfect face-centered cubic crystal of hard spheres are computed from the poles of the dynamic structure factor and of the spectral functions of transverse momentum density fluctuations. For such…
View article: Hydrodynamic correlation and spectral functions of perfect cubic crystals
Hydrodynamic correlation and spectral functions of perfect cubic crystals Open
We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characterizing the fluctuations of mass and momentum densities. We sh…
View article: Hydrodynamic properties of the perfect hard-sphere crystal: Microscopic computations with Helfand moments
Hydrodynamic properties of the perfect hard-sphere crystal: Microscopic computations with Helfand moments Open
Within the framework of the local-equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal are obtained with molecular dynamics simulations using the Helfand momen…
View article: Poles of hydrodynamic spectral functions and Einstein-Helfand formulas for transport coefficients
Poles of hydrodynamic spectral functions and Einstein-Helfand formulas for transport coefficients Open
The local-equilibrium approach to transport processes is related to the approach based on time-dependent correlation functions and their associated spectral functions characterizing the equilibrium fluctuations of particle, momentum and ot…
View article: Heat fluctuations in chemically active systems
Heat fluctuations in chemically active systems Open
Chemically active systems such as living cells are maintained out of thermal equilibrium due to chemical events which generate heat and lead to active fluctuations. A key question is to understand on which time and length scales active flu…
View article: Quantum local-equilibrium approach to dissipative hydrodynamics
Quantum local-equilibrium approach to dissipative hydrodynamics Open
The macroscopic hydrodynamic equations are derived for many-body systems in the local-equilibrium approach, using the Schrödinger picture of quantum mechanics. In this approach, statistical operators are defined in terms of microscopic den…
View article: Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations
Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations Open
View article: Quantum local-equilibrium approach to dissipative hydrodynamics
Quantum local-equilibrium approach to dissipative hydrodynamics Open
The macroscopic hydrodynamic equations are derived for many-body systems in the local-equilibrium approach, using the Schrödinger picture of quantum mechanics. In this approach, statistical operators are defined in terms of microscopic den…
View article: Erratum: Nonequilibrium statistical mechanics of crystals (2021 J. Stat. Mech. 063207)
Erratum: Nonequilibrium statistical mechanics of crystals (2021 J. Stat. Mech. 063207) Open
Equation (3.29) should be (equation presented) where the extra term comes from equation (B.4) with va = 0 and φab = 0 in our previous paper [1]. The rest of the paper is unaffected.
View article: Erratum: Microscopic approach to the macrodynamics of matter with broken symmetries (2020 J. Stat. Mech. 103203)
Erratum: Microscopic approach to the macrodynamics of matter with broken symmetries (2020 J. Stat. Mech. 103203) Open
Equation (4.20) should read (equation presented) with commas separating the three formulas. Equation (6.9) should be (equation presented).
View article: Heat Fluctuations in Chemically Active Systems
Heat Fluctuations in Chemically Active Systems Open
Chemically active systems such as living cells are maintained out of thermal equilibrium due to chemical events which generate heat and lead to active fluctuations. A key question is to understand on which time and length scales active flu…
View article: Nonequilibrium statistical mechanics of crystals
Nonequilibrium statistical mechanics of crystals Open
The local equilibrium approach previously developed by the authors (J Mabillard and P Gaspard 2020 J. Stat. Mech. 103203) for matter with broken symmetries is applied to crystalline solids. The macroscopic hydrodynamics of crystals and the…
View article: Proposing new configurations in Monte Carlo simulations using truncated Markov Chains
Proposing new configurations in Monte Carlo simulations using truncated Markov Chains Open
We propose a Monte Carlo method in which trial configurations are generated by iterating a finite number of times an initial guess, sampled from a prior distribution, using Markov updates. We define an extended configurational space compri…
View article: Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations
Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations Open
We propose a new Markov chain Monte Carlo method in which trial configurations are generated by evolving a state, sampled from a prior distribution, using a Markov transition matrix. We present two prototypical algorithms and derive their …
View article: Microscopic approach to the macrodynamics of matter with broken symmetries
Microscopic approach to the macrodynamics of matter with broken symmetries Open
A unified set of hydrodynamic equations describing condensed phases of matter with broken continuous symmetries is derived using a generalization of the statistical-mechanical approach based on the local equilibrium distribution. The dissi…
View article: Fluctuation and dissipation dynamics in the early universe
Fluctuation and dissipation dynamics in the early universe Open
The aim of this thesis is to study the effects of fluctuation and dissipation
\ndynamics in Early Universe cosmology. The formal description of the Early
\nUniverse relies on cosmological fields that, in general, are not completely isolate…
View article: Formulating the Kramers problem in field theory
Formulating the Kramers problem in field theory Open
The escape problem is defined in the context of quantum field theory. The\nescape rate is explicitly derived for a scalar field governed by\nfluctuation-dissipation dynamics, through generalizing the standard Kramers\nproblem. In the prese…
View article: Stability of the pion string in a thermal and dense medium
Stability of the pion string in a thermal and dense medium Open
We investigate the stability of the pion string in a thermal bath and a dense\nmedium. We find that stability is dependent on the order of the chiral\ntransition. String core stability within the experimentally allowed regime is\nfound onl…
View article: Universality classes for models of inflation
Universality classes for models of inflation Open
We show that the cosmological evolution of a scalar field in a potential can be obtained from a renormalisation group equation. The slow roll regime of inflation models is understood in this context as the slow evolution close to a fixed p…