Françoise CORNU

Page under construction / Created : 2013, December 17 / Last update : 2025, January 23

Research field

Theoretical physics : Statistical mechanics : Exact analytical results

Publications sorted by subjects

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1) Research topics in out of equilibrium statistical mechanics

- Stochastic processes for systems with discrete states

- Stochastic thermodynamics, generic properties

Thermal contact I : Symmetries ruled by Exchange Entropy Variations, F. Cornu and M. Bauer, [cond-mat.stat-mech] (2013)arXiv:1302.4538 (58 pages).
Thermal contact II : A Toy Model, F. Cornu and M. Bauer, [cond-mat.stat-mech] (2013) arXiv:1302.4540 (53 pages).
Local Detailed Balance : A Microscopic Derivation, M. Bauer and F. Cornu, J. Phys. A: Math. Theor. 48 (2015) 015008 (29 pages).

- Solvable models for thermal contact

Thermal Contact through a Diathermal Wall: A Solvable Toy Model, F. Cornu and M. Bauer, J. Stat. Mech. (2013) P10009 (56 pages).
Thermal contact through a two-temperature kinetic Ising chain, M. Bauer and F. Cornu, J. Phys. A: Math. Theor. 51 (2018) 195002 (23 pages).

- Renewal processes, first passage time fluctuation relations

Affinity and Fluctuations in a Mesoscopic Noria, M. Bauer and F. Cornu, J. Stat. Phys. 155 (2014) 703-736.

- Spin chain models with stochastic evolution

A parity breaking Ising chain Hamiltonian as a Brownian motor , F. Cornu and H.J. Hilhorst, EPL 108 (2014) 10002 (5 pages).
Glaubers Ising chain between two thermostats , F. Cornu and H.J. Hilhorst, J. Stat. Mech. (2017) 043207 (37 pages).

- Ensemble statistics for a non-conservative dynamical system in two dimensions

Density decay and growth of correlations in the Game of Life , F. Cornu and H.J. Hilhorst, J. Stat. Mech. (2019) 013212 (17 pages).

- Linear diffusions

- Last passage time statistics

Last-Passage Time for Linear Diffusions and Application to the Emptying Time of a Box , A. Comtet, F. Cornu and G. Schehr, J. Stat.Phys. (2020) doi.org/10.1007/s10955-020-02637-6 (38 pages).

- Kinetic theory

- Lorentz model and BBGKY hierarchy

Collisionless propagation in the Lorentz model: solution of the virtual BBGKY hierarchy, F. Cornu and J. Piasecki, Physica A 308 (2002) 256-272.
Magnetotransport in the 2D Lorentz model : non-markovian Grad limit of the BBGKY hierarchy, F. Cornu and J. Piasecki, Physica A 326 (2003) 88-104.
Three-dimensional Lorentz model in a magnetic field : Exact and Chapman-Enskog solutions, F. Cornu and J. Piasecki, Physica A 370 (2006) 591-600.

- Dissipation and Boltzmann equation

Granular rough sphere in a low-density thermal bath, F. Cornu and J. Piasecki, Physica A 387 (2008) 4856-4862.

2) Research topics in equilibrium statistical mechanics

- Exact duality for a two-dimensional lattice system

New duality relation for the discrete Gaussian SOS model on a torus , F. Cornu, H.J. Hilhorst and M. Bauer J. Stat. Mech (2023) 043206.

- Solvable two-dimensional models for Coulomb gas

On the two-dimensional Coulomb gas, F. Cornu and B. Jancovici, J. Stat. Phys. 49 (1987) 33-56.
Two-dimensional Coulomb systems: a larger class of solvable models, F. Cornu and B. Jancovici, Europhys. Lett. 5 (1988) 125-128.
The two-dimensional one-component plasma in a doubly periodic background: exact results, F. Cornu, B. Jancovici and L. Blum, J. Stat. Phys. 50 (1988) 1221-1243.
Two-dimensional models for an electrode with adsorption sites, F. Cornu, J. Stat. Phys. 54 (1989) 681-706.
The electrical double-layer: a solvable model, , F. Cornu and B. Jancovici, J. Chem. Phys. 90 (1989) 2444-2452.

- Kosterlitz-Thouless phase transition

Comment on "Two-dimensional classical electron gas in a periodic field. Delocalization and dielectric-plasma transition", A. Alastuey, F. Cornu and B. Jancovici, Phys. Rev. A 38 (1988) 4916-4918.
Correlations in the Kosterlitz-Thouless Phase of the two-dimensional Coulomb gas , A. Alastuey and F. Cornu, J. Stat. Phys. 66 (1992) 165 -231.
Critical line near the zero-density critical point of the Kosterlitz-Thouless transition, A. Alastuey and F. Cornu, J. Stat. Phys. 87 (1997) 891-895.
Janco's disciples in Coulombland. Part I. The 2D classical Coulomb gas near the zero-density Kosterlitz-Thouless Critical Point: correlations and critical line, A. Alastuey et F. Cornu, J. Stat. Phys. 89 (1997) 5-19.

- Quantum plasmas

- Quantum electron gas in solids (one-component plasma)

The electron gas beyond RPA: algebraic screening , F. Cornu and Ph.A. Martin, Phys. Rev. A 44 (1991) 4893-4910.
Coupled-cluster approximation in momentum space, F. Cornu, Th. Jolicoeur et J.C. Le Guillou, Phys. Rev. B 49 (1994) 9548-9554.

- Low-density expansions for quantum plasmas

Virial expansions for quantum plasmas : Diagrammatic resummations, A. Alastuey, F. Cornu and A. Perez, Phys. Rev. E 49 (1994) 1077-1093.
Virial expansions for quantum plasmas : Maxwell-Boltzmann statistics, A. Alastuey, F. Cornu and A. Perez, Phys. Rev. E 51 (1995) 1725-1744.

- Algebraic screening in quantum plasmas

Correlations in quantum plasmas. Part I, Resummations in Mayer-like diagrammatics, F. Cornu, Phys. Rev. E 53 (1996) 4562-4594.
Correlations in quantum plasmas. Part II, Algebraic tails, F. Cornu, Phys. Rev. E 53 (1996) 4595-4631.
Exact algebraic tails of static correlations in quantum plasmas at low density, F. Cornu, Phys. Rev. Lett. 78 (1997) 1464-1467.
Janco's disciples in Coulombland. Part II. Algebraic tails in three-dimensional quantum plasmas, A. Alastuey et F. Cornu, J. Stat. Phys. 89 (1997) 20-35.

- Quantum plasmas in a uniform magnetic field

Exact low-density free energy and algebraic tails of static correlations in quantum plasmas in a uniform magnetic field, F. Cornu, Europhys. Lett. 37 (1997) 591-596.
Quantum Plasmas with or without a uniform magnetic field. I. General formalism and algebraic tails of correlations, F. Cornu, Phys. Rev. E 58 (1998) 5268-5292.
Quantum Plasmas with or without a uniform magnetic field. II. Exact low-density free energy}, F. Cornu, Phys. Rev. E 58 (1998) 5293-5321.
Quantum Plasmas with or without a uniform magnetic field. III. Exact low-density algebraic tails of correlations, F. Cornu, Phys. Rev. E 58 (1998) 5322-5346.

- Charged fluid near a dielectric wall

- Density profiles in a Coulomb fluid near a dielectic wall

Density profiles in a classical Coulomb fluid near a dielectric wall. I. Mean-Field Scheme, J.-N. Aqua and F. Cornu, J. Stat. Phys. 105 (2001) 211-243.
Density profiles in a classical Coulomb fluid near a dielectric wall. II. Weak-coupling systematic expansions, J.-N. Aqua and F. Cornu, J. Stat. Phys. 105 (2001) 245-283.
Density profiles in a quantum Coulomb fluid near a hard wall, J.-N. Aqua and F. Cornu, J. Stat. Phys. 115 (2004) 997-1036.
Classical charge fluids at equilibrium near an interface: Exact analytical density profiles and surface tension, F. Cornu, Pramana-J. Phys. 64 (2005) 785-801.

- Screening in a charged fluid near a dielectric wall

Classical and quantum algebraic screening in a Coulomb plasma near a wall: a solvable model , J.-N. Aqua and F. Cornu, J. Stat. Phys. 97 (1999) 173-207.
Dipolar effective interaction in a fluid of charged spheres near a dielectric plate, J.-N. Aqua and F. Cornu, Phys. Rev. E 68 (2003) 026133 (17 pages).
Charge renormalization and other exact coupling corrections in the dipolar effective interaction in an electrolyte near a dielectric wall, J.-N. Aqua and F. Cornu, Phys. Rev. E. 70 (2004) 056117 (31 pages).

- Partially ionized gases

- Screening in partially ionized gases

Screened cluster expansions for partially ionized gases, A. Alastuey, V. Ballenegger, F. Cornu and Ph.A. Martin, J. Stat. Phys. 113 (2003) 455-503.

- Equation of state of partially ionized gases

Exact results for thermodynamics of the Hydrogen plasma : low-temperature expansions beyond Saha theory, A. Alastuey, V. Ballenegger, F. Cornu and Ph.A. Martin, J. Stat. Phys. 130 (2008) 1119-1176

- Quantum fluctuating forces

- Van der Waals forces between atoms

Van der Waals forces in presence of free charges : an exact derivation from equilibrium quantum correlations, A. Alastuey, F. Cornu and Ph.A. Martin, J. Chem. Phys. 127 (2007) 054506 (17 pages).

- Atom-wall forces (quantum electrodynamics near a conducting wall)

Atom-wall dispersive forces : a microscopic approach, F. Cornu and Ph. A. Martin, J. Phys. A. : Math. Theor. 42 (2009) 495001 (24 pages)