Statistics in a dissipative medium

Journal Article · Sun Apr 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.7301· OSTI ID:7000636

Wheatley, J M ^[1]

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1. Superconductivity Center, Cavendish Laboratory, Madingley Road, Cambridge CB30HE, United Kingdom (GB)

We consider a gas of bosons or fermions where the particles are coupled dissipatively to an external medium. The effect of dissipation is to reduce the weight in the partition function of paths which permute particle positions, an effect which can ultimately destroy the distinctions between fermions and bosons. The crossover temperature {ital kT}, is given by the solutions of 4{gamma}({psi}(1+{gamma}/{ital kT}) {minus}{psi}(1)+ln2)={ital kT}{sub 0}{minus}{ital kT}. {gamma} = {h bar}{eta}/2{pi}{ital M}, {eta} is the fraction coefficient, {ital M} is the particle mass, {ital T}{sub 0} is the degeneracy temperature in the absence of dissipation, and {ital k} is Boltzmann's constant. Thus for overdamped particles {gamma}{much gt}{ital kT}{sub 0} Bose and Fermi statistics are indistinguishable. We suggest that the results may provide a model for charge carriers in the normal state of high-temperature superconductors.

• OSTI ID: 7000636
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:10; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
BOSE-EINSTEIN GAS
BOUNDARY CONDITIONS
CHARGE CARRIERS
DEGREES OF FREEDOM
DISSIPATION FACTOR
FERMI GAS
FLUIDS
FUNCTIONS
GASES
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUANTUM OPERATORS
SPIN
SUPERCONDUCTORS