American Mineralogist: March 2016 Deposit AM SPERA ET AL.: DYNAMICS AND THERMODYNAMICS OF MAGMA HYBRIDIZATION ( ) ( o. T m.p. m.p.

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1 Table A1: Enthalpy cntributin expressins fr and magmas h Lα T + Δh α + X (Δh Δh α + ΔC X α ( + (T h L h α+l h +L h α+ h Lα h L h α+l h +L h α+ T + Δh + Y (Δh α Δh + ΔC Y + (T T + X X Δhα + X (Δh Δh α + ΔC X α T + X X (T + T + Y $ &Δh + Y (Δh α Δh + ΔC Y + Y $ $. &(T - T Y % Y & 0,- % %/ 0 T (1 T + Δh α + X (Δh Δh α + ΔC X α + (T (1 T + Δh + Y (Δh α Δh + ΔC Y ( T + (T T (1 T + X X Δhα + X (Δh Δh α + ΔC X α T + X X (T + +(1 T + Y % $ 'Δh + Y (Δh α Δh + ΔC Y + Y % %. $ '(T - T Y $ & Y ' 0,- & &/ 0 (1 C s T $ %

2 Table A2: Specific enthalpy bundary values separating phase assemblages Specific enthalpy Fields Separated Expressins fr Specific enthalpy fr X H < and X H > h max L and α+l X H T + C α S T + Δh α + X H (Δh Δh α h mid L and +L α+l and L e +α+ +L and L e +α+ h min L e +α+ and α+ +ΔC X H α T Y H Y e +ΔC Y H T + XH T α + C S T + Δh + Y H (Δh α Δh + YH $ + XH &Δh α + X H (Δh Δh α % T Y e $ $ +ΔC X H α T + XH & X & e % % $ + YH &Δh + Y H (Δh α Δh % Y e +ΔC Y H + YH Y e $ $ & T & % % 7

3 h max L and α+ + Δh α + (Δh Δh α α +ΔC + Table A3: Hybrid magma state fr X H < Xe Specific enthalpy range and Hybrid system state phase assemblage h H >h max T H = Φh Δhα X H (Δh Δh α α + ΔC T X H (T α L + ΔC X H = X H h mid < h H < h max L+α Simultaneus slutin f the fllwing tw expressins gives X H and T H : T H + XH X H Δhα + X H (Δh Δh α + ΔC X H α T H α = T XH α + T T + XH X H (TH Φh = 0 ass fractin α crystals: w α H = 1 XH X H h min < h H < h mid L e +α+ ass fractin melt: w H = XH X H T H = X H = mass fractin f liquid f eutectic cmpsitin: w H = Φh Δh α + (Δh Δh α α + ΔC ( + ass fractin phase: w H = X H w H 8

4 ass fractin α phase: w α H =1 w H w H h H < h min α+ T H = Φh w α H =(1 X H w H = X H 9

5 Table A4: Hybrid magma state fr X H > Xe Specific enthalpy range Hybrid system state h H >h max T H = Φh Δh Y H (Δh α Δh + ΔC( T Y H (T + ΔC Y H = Y H h mid < h H h max Simultaneus slutin f the fllwing expressins gives melt cmpsitin Y H and T H : T H + YH Y H Δh + Y H (Δh α Δh + ΔC Y H + YH Y H (TH T Φh = 0 T H = T YH + T Y e ass fractin crystals: w H = 1 YH Y H h min < h H < h mid ass fractin liquid: w H = YH T H = Y H Y H = Y e mass fractin f liquid f eutectic cmpsitin: w H = Φh Δh + Y e (Δh α Δh + ΔC Y e + ass fractin α phase: w α H = Y H w H Y e ass fractin phase: w H = 1 w H w α H 10

6 h H < h min T H = Φh w α H = Y H w H = 1 Y H Table A5: Hybrid magma state fr X H = Xe Specific enthalpy Hybrid system state range h H >h max T H = Φh Δhα (Δh Δh α α ΔC T + (T α X H = h min < h H < h max T H = X H = ass fractin f liquid f eutectic cmpsitin Φh w H = Δh α + (Δh Δh α α + ΔC + ass fractin α phase: w α H = (1 w H (1 ass fractin phase: w H = (1 w H h H < h min T H = Φh w α H =1 w H = 11

7 Table A6: Thermdynamic parameters f ty mdel. Parameters clsely fllw thse in system CagSi2O6-CaAl2Si2O8 at 10 5 Pa. Thermdynamic parameter Symbl Value Units Eutectic cmpsitin, mass fractin cmpnent B 0.42 Eutectic temperature 1547 K elting pint f α crystals α 1665 K α Enthalpy f fusin f α crystals at T elting pint f crystals Enthalpy f fusin f crystals at T T Δh α 636 kj/kg T 1830 K Δh 478 kj/kg Crystal specific isbaric heat capacity 1400 J/kg K Liquid specific isbaric heat capacity C L 1600 J/kg K 12

Appendix I: Derivation of the Toy Model

Appendix I: Derivation of the Toy Model SPEA ET AL.: DYNAMICS AND THEMODYNAMICS OF MAGMA HYBIDIZATION Thermdynamic Parameters Appendix I: Derivatin f the Ty Mdel The ty mdel is based upn the thermdynamics f an isbaric twcmpnent (A and B) phase