TY  - JOUR
A1  - Mkrtchian, Vanik E.
A1  - Henkel, Carsten
T1  - Green function solution of generalised boundary value problems
JF  - Physics Letters A
N2  - We construct an expression for the Green function of a differential operator satisfying nonlocal, homogeneous boundary conditions starting from the fundamental solution of the differential operator. This also provides the solution to the boundary value problem of an inhomogeneous partial differential equation with inhomogeneous, nonlocal boundary conditions. The construction applies for a broad class of linear partial differential equations and linear boundary conditions.
KW  - Boundary value problem
KW  - Green function
Y1  - 2020
U6  - https://doi.org/10.1016/j.physleta.2020.126573
SN  - 0375-9601
SN  - 1873-2429
SN  - 0031-9163
VL  - 384
IS  - 23
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Intravaia, Francesco
A1  - Mkrtchian, Vanik E.
A1  - Buhmann, Stefan Yoshi
A1  - Scheel, Stefan
A1  - Dalvit, Diego A. R.
A1  - Henkel, Carsten
T1  - Friction forces on atoms after acceleration
JF  - Journal of physics : Condensed matter
N2  - The aim of this paper is to revisit the calculation of atom-surface quantum friction in the quantum field theory formulation put forward by Barton (2010 New J. Phys. 12 113045). We show that the power dissipated into field excitations and the associated friction force depend on how the atom is boosted from being initially at rest to a configuration in which it is moving at constant velocity (nu) parallel to the planar interface. In addition, we point out that there is a subtle cancellation between the one-photon and part of the two-photon dissipating power, resulting in a leading order contribution to the frictional power which goes as nu(4). These results are also confirmed by an alternative calculation of the average radiation force, which scales as nu(3).
KW  - quantum friction
KW  - non-equilibrium
KW  - atom-surface interaction
Y1  - 2015
U6  - https://doi.org/10.1088/0953-8984/27/21/214020
SN  - 0953-8984
SN  - 1361-648X
VL  - 27
IS  - 21
PB  - IOP Publ. Ltd.
CY  - Bristol
ER  - 
TY  - JOUR
A1  - Mkrtchian, Vanik E.
A1  - Henkel, Carsten
T1  - On non-equilibrium photon distributions in the Casimir effect
JF  - Annalen der Physik
N2  - The electromagnetic field in a typical geometry of the Casimir effect is described in the Schwinger-Keldysh formalism. The main result is the photon distribution function (Keldysh Green function) in any stationary state of the field. A two-plate geometry with a sliding interface in local equilibrium is studied in detail, and full agreement with the results of Rytov fluctuation electrodynamics is found.
KW  - Casimir effect
KW  - van der Waals interaction
KW  - quantum friction
KW  - nonequilibrium electrodynamics of nanosystems
Y1  - 2014
U6  - https://doi.org/10.1002/andp.201300135
SN  - 0003-3804
SN  - 1521-3889
VL  - 526
IS  - 1-2
SP  - 87
EP  - 101
PB  - Wiley-VCH
CY  - Weinheim
ER  -