2014/10/31 by Gesualdo Delfino, Alessio Squarcini · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Boundary (topology) #Boundary value problem #Casimir effect #Classical mechanics #Condensed matter physics #Geometry #Mathematical analysis #Mathematics #Mechanical and Optical Resonators #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Symmetry (geometry) #Symmetry breaking #Theoretical physics #Universality (dynamical systems) #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/109/16001
published as EPL 109 (2015) 16001 · 6 EPL pages
openalex publication_date 2015/01/01 · arxiv created 2015/01/12 · arxiv updated 2015/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the decay of the thermodynamic Casimir force in phases with a finite correlation length. For the case of the strip, we use properties of low-energy two-dimensional field theory to show that the decay depends on the symmetry properties of the boundary conditions, in distinctive ways that we determine exactly. Features characteristic of the bulk universality class may induce modifications that we also discuss. Symmetry-breaking and symmetry-preserving boundary conditions exchange their role with respect to the decay of the force when exchanging spontaneously broken with disordered phases. Several of our arguments extend to higher dimensions.