TY - JOUR

T1 - Finite energy but infinite entropy production from moving mirrors

AU - Good , Michael

AU - Linder, Eric V.

N1 - Funding Information:
Funding from state-targeted program “Center of Excellence for Fundamental and Applied Physics” (BR05236454) by the Ministry of Education and Science of the Republic of Kazakhstan is acknowledged. M. G. is funded by the ORAU FY2018-SGP-1-STMM Faculty Development Competitive Research Grant No. 090118FD5350 at Nazarbayev University. E. L. is supported in part by the Energetic Cosmos Laboratory and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award No. DE-SC-0007867 and Contract No. DE-AC02-05CH11231.

PY - 2019/1/15

Y1 - 2019/1/15

N2 - Accelerating mirrors provide a simple conceptual laboratory for studying particle production and the relation between trajectory and particle, energy, and entropy fluxes. We focus on the relation between energy and entropy, studying some special cases with finite total energy but infinite integrated entropy (though the entropy flux may be finite at any particular moment). We present a new asymptotically static moving mirror trajectory with solvable beta Bogolyubov coefficients, total energy, and fully relativistic particle count. The integrated entropy diverges despite finite global radiative particle and energy emission. By comparing closely related trajectories, we point out some general principles (e.g., the asymptotic time dependence of energy flux and entropy flux for different convergence and divergence behaviors) but also how subtle distinctions can affect the physics and its relation to black hole end states. Another class of models includes exponentially accelerated mirrors in proper time; one of its unexpected behaviors is finite energy emission but divergent entropy. We compare mirrors exponentially accelerated in other coordinates as well, showing their close relation and an interesting duality property.

AB - Accelerating mirrors provide a simple conceptual laboratory for studying particle production and the relation between trajectory and particle, energy, and entropy fluxes. We focus on the relation between energy and entropy, studying some special cases with finite total energy but infinite integrated entropy (though the entropy flux may be finite at any particular moment). We present a new asymptotically static moving mirror trajectory with solvable beta Bogolyubov coefficients, total energy, and fully relativistic particle count. The integrated entropy diverges despite finite global radiative particle and energy emission. By comparing closely related trajectories, we point out some general principles (e.g., the asymptotic time dependence of energy flux and entropy flux for different convergence and divergence behaviors) but also how subtle distinctions can affect the physics and its relation to black hole end states. Another class of models includes exponentially accelerated mirrors in proper time; one of its unexpected behaviors is finite energy emission but divergent entropy. We compare mirrors exponentially accelerated in other coordinates as well, showing their close relation and an interesting duality property.

UR - http://www.scopus.com/inward/record.url?scp=85060896083&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060896083&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.99.025009

DO - 10.1103/PhysRevD.99.025009

M3 - Article

AN - SCOPUS:85060896083

VL - 99

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 2

M1 - 025009

ER -