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- W2885734534 abstract "Motivated by the recent shocking results from RHIC and LHC that show quark-gluon plasma signatures in small systems, we study a simple model of a massless, noninteracting scalar field confined with Dirichlet boundary conditions. We use this system to investigate the finite size corrections to thermal field theoretically derived quantities compared to the usual Stefan-Boltzmann limit of an ideal gas not confined in any direction. Two equivalent expressions with different numerical convergence properties are found for the free energy in $D$ rectilinear spacetime dimensions with $cle D-1$ spatial dimensions of finite extent. We find that the First Law of Thermodynamics generalizes such that the pressure depends on direction but that the Third Law is respected. For systems with finite dimension(s) but infinite volumes, such as a field constrained between two parallel plates or a rectangular tube, the relative fluctuations in energy are zero, and hence the canonical and microcanonical ensembles are equivalent. We present precise numerical results for the free energy, total internal energy, pressure, entropy, and heat capacity of our field between parallel plates, in a tube, and in finite volume boxes of various sizes in 4 spacetime dimensions. For temperatures and system sizes relevant for heavy ion phenomenology, we find large deviations from the Stefan-Boltzmann limit for these quantities, especially for the pressure. Further investigation of an isolated system of fields constrained between parallel plates reveals a divergent isoenergetic compressibility at a critical length $L_csim1/T$. We have thus discovered a new second order phase transition via a first principles calculation, a transition that is driven by the size of the system." @default.
- W2885734534 created "2018-08-22" @default.
- W2885734534 creator A5006165744 @default.
- W2885734534 creator A5028389244 @default.
- W2885734534 creator A5040148480 @default.
- W2885734534 date "2020-12-23" @default.
- W2885734534 modified "2023-10-18" @default.
- W2885734534 title "Geometrically confined thermal field theory: Finite size corrections and phase transitions" @default.
- W2885734534 cites W1480369113 @default.
- W2885734534 cites W1581351779 @default.
- W2885734534 cites W1615409236 @default.
- W2885734534 cites W1654124497 @default.
- W2885734534 cites W1671022230 @default.
- W2885734534 cites W1966293674 @default.
- W2885734534 cites W1967113814 @default.
- W2885734534 cites W1971154415 @default.
- W2885734534 cites W1973613477 @default.
- W2885734534 cites W1976653887 @default.
- W2885734534 cites W1981869633 @default.
- W2885734534 cites W1983433169 @default.
- W2885734534 cites W1983598244 @default.
- W2885734534 cites W1983874169 @default.
- W2885734534 cites W1985287597 @default.
- W2885734534 cites W1990468225 @default.
- W2885734534 cites W1991223997 @default.
- W2885734534 cites W1994310437 @default.
- W2885734534 cites W1997093580 @default.
- W2885734534 cites W2008051577 @default.
- W2885734534 cites W2010928699 @default.
- W2885734534 cites W2014318924 @default.
- W2885734534 cites W2017771950 @default.
- W2885734534 cites W2019566761 @default.
- W2885734534 cites W2020173052 @default.
- W2885734534 cites W2020459239 @default.
- W2885734534 cites W2028115528 @default.
- W2885734534 cites W2028812211 @default.
- W2885734534 cites W2035957649 @default.
- W2885734534 cites W2040959888 @default.
- W2885734534 cites W2049515126 @default.
- W2885734534 cites W2049773438 @default.
- W2885734534 cites W2051927835 @default.
- W2885734534 cites W2054197682 @default.
- W2885734534 cites W2054712414 @default.
- W2885734534 cites W2058979762 @default.
- W2885734534 cites W2067814893 @default.
- W2885734534 cites W2071725237 @default.
- W2885734534 cites W2074051789 @default.
- W2885734534 cites W2076101481 @default.
- W2885734534 cites W2084131376 @default.
- W2885734534 cites W2089852843 @default.
- W2885734534 cites W2093024861 @default.
- W2885734534 cites W2093953815 @default.
- W2885734534 cites W2097078822 @default.
- W2885734534 cites W2101310208 @default.
- W2885734534 cites W2112300891 @default.
- W2885734534 cites W2113558017 @default.
- W2885734534 cites W2119763776 @default.
- W2885734534 cites W2125726383 @default.
- W2885734534 cites W2126747732 @default.
- W2885734534 cites W2127210480 @default.
- W2885734534 cites W2130001092 @default.
- W2885734534 cites W2137553057 @default.
- W2885734534 cites W2145104095 @default.
- W2885734534 cites W2146553833 @default.
- W2885734534 cites W2151512268 @default.
- W2885734534 cites W2154485952 @default.
- W2885734534 cites W2159035247 @default.
- W2885734534 cites W2160871560 @default.
- W2885734534 cites W2161042727 @default.
- W2885734534 cites W2169165406 @default.
- W2885734534 cites W2172104169 @default.
- W2885734534 cites W2181986281 @default.
- W2885734534 cites W2234243486 @default.
- W2885734534 cites W2269664741 @default.
- W2885734534 cites W2313374869 @default.
- W2885734534 cites W2345134107 @default.
- W2885734534 cites W2354504395 @default.
- W2885734534 cites W2394775850 @default.
- W2885734534 cites W2406521719 @default.
- W2885734534 cites W2460277013 @default.
- W2885734534 cites W2527798573 @default.
- W2885734534 cites W2546003218 @default.
- W2885734534 cites W2548680460 @default.
- W2885734534 cites W2591402784 @default.
- W2885734534 cites W2608640705 @default.
- W2885734534 cites W2748108188 @default.
- W2885734534 cites W2753045456 @default.
- W2885734534 cites W2753413410 @default.
- W2885734534 cites W2755896070 @default.
- W2885734534 cites W2756157143 @default.
- W2885734534 cites W2764209760 @default.
- W2885734534 cites W2767305053 @default.
- W2885734534 cites W2770946195 @default.
- W2885734534 cites W2786563304 @default.
- W2885734534 cites W2921023390 @default.
- W2885734534 cites W2932664758 @default.
- W2885734534 cites W2951732966 @default.
- W2885734534 cites W2962951652 @default.
- W2885734534 cites W2963793904 @default.
- W2885734534 cites W2964019446 @default.