Coupling of Heat and Mass Transport in Liquids

Presented in the "Institute seminar day" at IMSc

Transcript

1. Coupling of Heat and Mass Transport in Liquids Vinay Vaibhav IMSc, Chennai Institute Seminar Day March 18, 2019 HOT COLD
2. Transport Equations Description of heat, mass and charge transport Fourier’s law: Transport of heat HOT COLD http://i.imgur.com/6yQctxY.png Jq = dT dx <latexit sha1_base64="zlrDoic0+nmLlJ4CtJEM4vQ8How=">AAACB3icdVDLSgMxFM3UV62vqktBgq3gxpJpRe1CKLoRVxXaWmiHIZPJtKGZh0lGLMPs3Pgrblwo4tZfcOffmD4EFT0QOJxzDzf3OBFnUiH0YWRmZufmF7KLuaXlldW1/PpGS4axILRJQh6KtoMl5SygTcUUp+1IUOw7nF45g7ORf3VDhWRh0FDDiFo+7gXMYwQrLdn57eKFfQ1P4H6X65CLYdcTmCRuI03c27Ro5wuoVB3hEE5IpaoJOjBRpQLNEhqjAKao2/n3rhuS2KeBIhxL2TFRpKwEC8UIp2muG0saYTLAPdrRNMA+lVYyviOFu1pxoRcK/QIFx+r3RIJ9KYe+oyd9rPrytzcS//I6sfKOrYQFUaxoQCaLvJhDFcJRKdBlghLFh5pgIpj+KyR9rItQurqcLuHrUvg/aZVLZqWELsuF2um0jizYAjtgD5jgCNTAOaiDJiDgDjyAJ/Bs3BuPxovxOhnNGNPMJvgB4+0Tx0qYqg==</latexit> Fick’s law: Transport of mass J = D dc dx <latexit sha1_base64="GkPHP9nj9YYAL4CrnGhVe8Cc8Dw=">AAAB/3icdVDLSsNAFJ3UV62vqODGzWAruLEkjahdCEVdiKsK9gFtKJPJpB06eTAzEUvMwl9x40IRt/6GO//GSVtBRQ9cOJxzL/fe40SMCmkYH1puZnZufiG/WFhaXlld09c3miKMOSYNHLKQtx0kCKMBaUgqGWlHnCDfYaTlDM8yv3VDuKBhcC1HEbF91A+oRzGSSurpW6VLeAL3z2HX4wgnLk4T9zYt9fSiUa5mOIQTYlUVMQ5Mw7KgWTbGKIIp6j39veuGOPZJIDFDQnRMI5J2grikmJG00I0FiRAeoj7pKBognwg7Gd+fwl2luNALuapAwrH6fSJBvhAj31GdPpID8dvLxL+8Tiy9YzuhQRRLEuDJIi9mUIYwCwO6lBMs2UgRhDlVt0I8QCoIqSIrqBC+PoX/k2albFpl46pSrJ1O48iDbbAD9oAJjkANXIA6aAAM7sADeALP2r32qL1or5PWnDad2QQ/oL19Am+JlSA=</latexit> Ohm’s law: Transport of charge j = d dx <latexit sha1_base64="FZMw3GVrqcWXt4MU4Y061ZacPcs=">AAACB3icdVDLSsNAFJ34rPVVdSnIYCu4sSSNqF0IRTcuK9gHNKFMJpN27CQZZiZiCd258VfcuFDErb/gzr9x0lZQ0QMXDufcy733eJxRqUzzw5iZnZtfWMwt5ZdXVtfWCxubTRknApMGjlks2h6ShNGINBRVjLS5ICj0GGl5g/PMb90QIWkcXakhJ26IehENKEZKS93CTukansIDZ4A4R9AJBMKp7/A+HaX+7ajULRTNcjXDEZwQu6qJeWiZtg2tsjlGEUxR7xbeHT/GSUgihRmSsmOZXLkpEopiRkZ5J5GEIzxAPdLRNEIhkW46/mME97TiwyAWuiIFx+r3iRSFUg5DT3eGSPXlby8T//I6iQpO3JRGPFEkwpNFQcKgimEWCvSpIFixoSYIC6pvhbiPdBZKR5fXIXx9Cv8nzUrZssvmZaVYO5vGkQPbYBfsAwscgxq4AHXQABjcgQfwBJ6Ne+PReDFeJ60zxnRmC/yA8fYJMjyY7w==</latexit> Empirically, irreversible flows are linear functions of thermodynamic forces Ji = LiXi <latexit sha1_base64="Txt1mNzBcKT/P25YAxBUIRkY+QM=">AAAB+HicbVDLSsNAFL3xWeujUZduBlvBVUnqQjdC0Y2Iiwr2AW0Ik+mkHTqZhJmJUEO/xI0LRdz6Ke78G6dtFtp64F4O59zL3DlBwpnSjvNtrayurW9sFraK2zu7eyV7/6Cl4lQS2iQxj2UnwIpyJmhTM81pJ5EURwGn7WB0PfXbj1QqFosHPU6oF+GBYCEjWBvJt0uVW5+hS3RnesdnFd8uO1VnBrRM3JyUIUfDt796/ZikERWacKxU13US7WVYakY4nRR7qaIJJiM8oF1DBY6o8rLZ4RN0YpQ+CmNpSmg0U39vZDhSahwFZjLCeqgWvan4n9dNdXjhZUwkqaaCzB8KU450jKYpoD6TlGg+NgQTycytiAyxxESbrIomBHfxy8ukVau6Z1XnvlauX+VxFOAIjuEUXDiHOtxAA5pAIIVneIU368l6sd6tj/noipXvHMIfWJ8/GxmRbA==</latexit> Jq
3. Transport Equations Description of heat, mass and charge transport Fourier’s law: Transport of heat HOT COLD http://i.imgur.com/6yQctxY.png Jq = dT dx <latexit sha1_base64="zlrDoic0+nmLlJ4CtJEM4vQ8How=">AAACB3icdVDLSgMxFM3UV62vqktBgq3gxpJpRe1CKLoRVxXaWmiHIZPJtKGZh0lGLMPs3Pgrblwo4tZfcOffmD4EFT0QOJxzDzf3OBFnUiH0YWRmZufmF7KLuaXlldW1/PpGS4axILRJQh6KtoMl5SygTcUUp+1IUOw7nF45g7ORf3VDhWRh0FDDiFo+7gXMYwQrLdn57eKFfQ1P4H6X65CLYdcTmCRuI03c27Ro5wuoVB3hEE5IpaoJOjBRpQLNEhqjAKao2/n3rhuS2KeBIhxL2TFRpKwEC8UIp2muG0saYTLAPdrRNMA+lVYyviOFu1pxoRcK/QIFx+r3RIJ9KYe+oyd9rPrytzcS//I6sfKOrYQFUaxoQCaLvJhDFcJRKdBlghLFh5pgIpj+KyR9rItQurqcLuHrUvg/aZVLZqWELsuF2um0jizYAjtgD5jgCNTAOaiDJiDgDjyAJ/Bs3BuPxovxOhnNGNPMJvgB4+0Tx0qYqg==</latexit> Fick’s law: Transport of mass J = D dc dx <latexit sha1_base64="GkPHP9nj9YYAL4CrnGhVe8Cc8Dw=">AAAB/3icdVDLSsNAFJ3UV62vqODGzWAruLEkjahdCEVdiKsK9gFtKJPJpB06eTAzEUvMwl9x40IRt/6GO//GSVtBRQ9cOJxzL/fe40SMCmkYH1puZnZufiG/WFhaXlld09c3miKMOSYNHLKQtx0kCKMBaUgqGWlHnCDfYaTlDM8yv3VDuKBhcC1HEbF91A+oRzGSSurpW6VLeAL3z2HX4wgnLk4T9zYt9fSiUa5mOIQTYlUVMQ5Mw7KgWTbGKIIp6j39veuGOPZJIDFDQnRMI5J2grikmJG00I0FiRAeoj7pKBognwg7Gd+fwl2luNALuapAwrH6fSJBvhAj31GdPpID8dvLxL+8Tiy9YzuhQRRLEuDJIi9mUIYwCwO6lBMs2UgRhDlVt0I8QCoIqSIrqBC+PoX/k2albFpl46pSrJ1O48iDbbAD9oAJjkANXIA6aAAM7sADeALP2r32qL1or5PWnDad2QQ/oL19Am+JlSA=</latexit> Ohm’s law: Transport of charge j = d dx <latexit sha1_base64="FZMw3GVrqcWXt4MU4Y061ZacPcs=">AAACB3icdVDLSsNAFJ34rPVVdSnIYCu4sSSNqF0IRTcuK9gHNKFMJpN27CQZZiZiCd258VfcuFDErb/gzr9x0lZQ0QMXDufcy733eJxRqUzzw5iZnZtfWMwt5ZdXVtfWCxubTRknApMGjlks2h6ShNGINBRVjLS5ICj0GGl5g/PMb90QIWkcXakhJ26IehENKEZKS93CTukansIDZ4A4R9AJBMKp7/A+HaX+7ajULRTNcjXDEZwQu6qJeWiZtg2tsjlGEUxR7xbeHT/GSUgihRmSsmOZXLkpEopiRkZ5J5GEIzxAPdLRNEIhkW46/mME97TiwyAWuiIFx+r3iRSFUg5DT3eGSPXlby8T//I6iQpO3JRGPFEkwpNFQcKgimEWCvSpIFixoSYIC6pvhbiPdBZKR5fXIXx9Cv8nzUrZssvmZaVYO5vGkQPbYBfsAwscgxq4AHXQABjcgQfwBJ6Ne+PReDFeJ60zxnRmC/yA8fYJMjyY7w==</latexit> Empirically, irreversible flows are linear functions of thermodynamic forces Ji = LiXi <latexit sha1_base64="Txt1mNzBcKT/P25YAxBUIRkY+QM=">AAAB+HicbVDLSsNAFL3xWeujUZduBlvBVUnqQjdC0Y2Iiwr2AW0Ik+mkHTqZhJmJUEO/xI0LRdz6Ke78G6dtFtp64F4O59zL3DlBwpnSjvNtrayurW9sFraK2zu7eyV7/6Cl4lQS2iQxj2UnwIpyJmhTM81pJ5EURwGn7WB0PfXbj1QqFosHPU6oF+GBYCEjWBvJt0uVW5+hS3RnesdnFd8uO1VnBrRM3JyUIUfDt796/ZikERWacKxU13US7WVYakY4nRR7qaIJJiM8oF1DBY6o8rLZ4RN0YpQ+CmNpSmg0U39vZDhSahwFZjLCeqgWvan4n9dNdXjhZUwkqaaCzB8KU450jKYpoD6TlGg+NgQTycytiAyxxESbrIomBHfxy8ukVau6Z1XnvlauX+VxFOAIjuEUXDiHOtxAA5pAIIVneIU368l6sd6tj/noipXvHMIfWJ8/GxmRbA==</latexit> What happens if two or more irreversible transport processes take place simultaneously? Jq
4. https://techterms.com/definition/cpu http://www.globalspec.com/learnmore/ Average temperature of CPU: 50-60 oC Peltier effect: The presence of heating or cooling at an electrified junction of two different conductors Interfering Transport Processes
5. https://techterms.com/definition/cpu http://www.globalspec.com/learnmore/ Average temperature of CPU: 50-60 oC Peltier effect: The presence of heating or cooling at an electrified junction of two different conductors Two or more irreversible transport processes may interfere with each other Interfering Transport Processes
6. Flux Force Heat Electric Diffusion Temperature Gradient Voltage Chemical Potential Gradient Fourier’s law Seebeck effect Soret effect Ohm’s law Fick’s law Peltier effect Dufour effect Galvenic cell Electro migration Cross Effects
7. Flux Force Heat Electric Diffusion Temperature Gradient Voltage Chemical Potential Gradient Fourier’s law Seebeck effect Soret effect Ohm’s law Fick’s law Peltier effect Dufour effect Galvenic cell Electro migration Cross Effects
8. In the presence of gradient THot TCold At constant temperature Thermophoresis : Soret Effect Uniform composition Compositional inhomogeneity Heat flow Binary mixture
9. Self-thermophoretic Janus particle Soft Matter, 2014, 10, 6208-6218 https://physics.aps.org/articles/v5/18 Thermophoretic migration of vesicles Nature Communications, 8, 15351 (2017) http://www.geologyin.com/2016/11/can- radioactive-waste-be-immobilized-in.html Radioactive waste trapped in glass Soret effect: Applications Magmatic differentiation during petrogenesis Petroleum reservoirs: Soret separation of crude oils Leakage of stored nuclear waste in glass Glass manufacture: Compositional inhomogeneity Thermal field flow fractionation of macromolecules and colloids Thermotaxis: Microorganisms migrate along weak temperature gradients
10. Ji = P i LikXk = P i JiXi Phenomenological equations = P i,k LikXiXk 0 Lij = Lji Nonequilibrium Thermodynamics Time reversal invariance Onsager Reciprocal Relations: Phenomenological coefficients are related with each other References: Non-equilibrium thermodynamics by S. R. De Groot & P Mazur Lars Onsager, "Reciprocal relations in irreversible processes. I." Physical review 37.4 (1931): 405. Lars Onsager, "Reciprocal relations in irreversible processes. II." Physical review 38.12 (1931): 2265. The entropy production in a system can be written in terms of thermodynamic fluxes and forces: For more than one transport processes taking place together — Lik : Phenomenological coefficients Combining above two equations, — Since , Lik’s are not all independent
11. The entropy production for a binary system = 1 T 2 ~ J0 q · rT 1 T ~ J1 · µ11 c1+c2 c2 rc1 ~ J0 q = Lqq rT T 2 Lq1 µ11 c2T rc1 ~ J1 = L1q rT T 2 L11 µ11 c2T rc1 D0 = L1q ⇢c1c2T 2 D = L11µ11 ⇢c2T ST = D0 D = 1 c1c2 rc1 rT Soret coefficient Thermal Diffusion : Soret effect Thermal diffusion coefficient Interdiffusion coefficient In stationary flow, diffusion flow vanishes: Phenomenological equations: Define, = Mass current of species 1 ~ J1 <latexit sha1_base64="Xe/9+toJHU8cCDwBmDf4IOSxhko=">AAAB8nicdVDLSsNAFJ3UV62vqks3g63gKiRtTequ6EZcVbAPSEOZTCft0EkmzEwKJfQz3LhQxK1f486/cfoQVPTAhcM593LvPUHCqFSW9WHk1tY3Nrfy24Wd3b39g+LhUVvyVGDSwpxx0Q2QJIzGpKWoYqSbCIKigJFOML6e+50JEZLy+F5NE+JHaBjTkGKktOSVexOCs9tZ3y73iyXLrNmO41SgZVaqbs290OSy7lpOHdqmtUAJrNDsF997A47TiMQKMySlZ1uJ8jMkFMWMzAq9VJIE4TEaEk/TGEVE+tni5Bk808oAhlzoihVcqN8nMhRJOY0C3RkhNZK/vbn4l+elKqz7GY2TVJEYLxeFKYOKw/n/cEAFwYpNNUFYUH0rxCMkEFY6pYIO4etT+D9pV0y7alp3lVLjahVHHpyAU3AObOCCBrgBTdACGHDwAJ7As6GMR+PFeF225ozVzDH4AePtE9V1kPc=</latexit> ~ J0 q <latexit sha1_base64="MK07ipiRCfBEPcj4yq13UNSXF/M=">AAAB83icdVDLSsNAFJ3UV62vqks3g63oKiRpTequ6EZcVbAPaEKZTCft0MnDmUmhhP6GGxeKuPVn3Pk3Th+Cih64cDjnXu69x08YFdIwPrTcyura+kZ+s7C1vbO7V9w/aIk45Zg0ccxi3vGRIIxGpCmpZKSTcIJCn5G2P7qa+e0x4YLG0Z2cJMQL0SCiAcVIKsktu2OCs5vpae++3CuWDL1q2rZtQUO3Kk7VOVfkouYYdg2aujFHCSzR6BXf3X6M05BEEjMkRNc0EulliEuKGZkW3FSQBOERGpCuohEKifCy+c1TeKKUPgxiriqScK5+n8hQKMQk9FVniORQ/PZm4l9eN5VBzctolKSSRHixKEgZlDGcBQD7lBMs2UQRhDlVt0I8RBxhqWIqqBC+PoX/k5almxXduLVK9ctlHHlwBI7BGTCBA+rgGjRAE2CQgAfwBJ61VHvUXrTXRWtOW84cgh/Q3j4Bmk2RaA==</latexit> = Heat current T = Temperature c1 = Concentration/Mole- fraction of species 1 µ11 = @µ1 @c1 <latexit sha1_base64="VDDpUkNhc2X8lqa70rC5NxVw5os=">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</latexit> = Chemical potential of species 1 µ1 <latexit sha1_base64="9o024CGpVmr+ItOEhQdNvf72Vzs=">AAAB8HicdVDLSgMxFM34rPVVdekm2Aquhpm2ztRd0Y3LCvYh7VAyaaYNTTJDkhHK0K9w40IRt36OO//G9CGo6IELh3Pu5d57woRRpR3nw1pZXVvf2Mxt5bd3dvf2CweHLRWnEpMmjlksOyFShFFBmppqRjqJJIiHjLTD8dXMb98TqWgsbvUkIQFHQ0EjipE20l2px9N+5k5L/ULRsauu53ll6Njlil/1zw25qPmOV4Ou7cxRBEs0+oX33iDGKSdCY4aU6rpOooMMSU0xI9N8L1UkQXiMhqRrqECcqCCbHzyFp0YZwCiWpoSGc/X7RIa4UhMemk6O9Ej99mbiX1431VEtyKhIUk0EXiyKUgZ1DGffwwGVBGs2MQRhSc2tEI+QRFibjPImhK9P4f+kVbbdiu3clIv1y2UcOXAMTsAZcIEP6uAaNEATYMDBA3gCz5a0Hq0X63XRumItZ47AD1hvn4jNkD0=</latexit> THot TCold Reference: Non-equilibrium thermodynamics by S. R. De Groot & P Mazur
12. Glass Types Soda-Lime Glass: Most industrially produced glass 71%-75% Sand(SiO2), 12%-16% Soda(Na2O), 10%-15% Lime(CaO) Use: Bottles, Jars, Window glasses Lead Glasses: Very high refractive index 54%-65% SiO2, 18%-38% Lead Oxide (PbO), 13%-15% Soda Use: Bowls, Vases, Decorative items Borosilicate Glasses: High resistance to corrosion & temperature change 70%-80% SiO2, 7%-13% B2O3, 4%-8% Na2O, 2%-7% Al2O3 Use: Cooking Wear, Headlamps, Laboratory glass (Pyrex) Speciality Glasses: Good optical and thermal properties Fused quartz Use: Electronic industry, Television tubes, High voltage insultator Good glass-formers are generally mixtures Mixtures suppress crystallisation Glass is a structurally amorphous (disordered) solid that has been quenched from the liquid state Nature 410, 259-267(8 March 2001)
13. Glass Types Soda-Lime Glass: Most industrially produced glass 71%-75% Sand(SiO2), 12%-16% Soda(Na2O), 10%-15% Lime(CaO) Use: Bottles, Jars, Window glasses Lead Glasses: Very high refractive index 54%-65% SiO2, 18%-38% Lead Oxide (PbO), 13%-15% Soda Use: Bowls, Vases, Decorative items Borosilicate Glasses: High resistance to corrosion & temperature change 70%-80% SiO2, 7%-13% B2O3, 4%-8% Na2O, 2%-7% Al2O3 Use: Cooking Wear, Headlamps, Laboratory glass (Pyrex) Speciality Glasses: Good optical and thermal properties Fused quartz Use: Electronic industry, Television tubes, High voltage insultator Good glass-formers are generally mixtures Mixtures suppress crystallisation Glass is a structurally amorphous (disordered) solid that has been quenched from the liquid state Nature 410, 259-267(8 March 2001) Response of glass-forming mixtures to thermal gradient? Effect of slow dynamics? Questions
14. Model Glass-former Kob-Andersen binary Lennard-Jones mixture 80:20 (A:B) mixture at density 1.2 Setting up the Simulation W. Kob and H. C. Andersen, Phys. Rev. Lett. 73,1376 (1994) P. J. Bhuyan, Rituparno Mandal, Pinaki Chaudhuri, Abhishek Dhar and Chandan Dasgupta, arXiv:1703.04494 (2017) Nonequilibrium Molecular Dynamics U↵ = 4✏↵  ↵ r 12 ↵ r 6 <latexit sha1_base64="HXCuKZ37t2xfdTp4bkBAUVBJIts=">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</latexit> <latexit sha1_base64="HXCuKZ37t2xfdTp4bkBAUVBJIts=">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</latexit> <latexit sha1_base64="HXCuKZ37t2xfdTp4bkBAUVBJIts=">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</latexit> <latexit sha1_base64="HXCuKZ37t2xfdTp4bkBAUVBJIts=">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</latexit> ↵, 2 {A, B} <latexit 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sha1_base64="Oy7R8/eJZttZbgTk+cXjgORJibs=">AAACA3icdVDLSsNAFJ34rPUVdaebwVZwUUpSEF3WunFZwT6gCeVmOmmHTiZhZiKUUHDjr7hxoYhbf8Kdf+P0Ifg8cOFwzr3ce0+QcKa047xbC4tLyyurubX8+sbm1ra9s9tUcSoJbZCYx7IdgKKcCdrQTHPaTiSFKOC0FQwvJn7rhkrFYnGtRwn1I+gLFjIC2khde7/oAU8GUPICqgF7TGAvOy/VvHGxaxeccuXEMcC/iVt2piigOepd+83rxSSNqNCEg1Id10m0n4HUjHA6znupogmQIfRpx1ABEVV+Nv1hjI+M0sNhLE0Jjafq14kMIqVGUWA6I9AD9dObiH95nVSHZ37GRJJqKshsUZhyrGM8CQT3mKRE85EhQCQzt2IyAAlEm9jyJoTPT/H/pFkpu07ZvaoUqrV5HDl0gA7RMXLRKaqiS1RHDUTQLbpHj+jJurMerGfrZda6YM1n9tA3WK8f5lSWYg==</latexit> <latexit sha1_base64="Oy7R8/eJZttZbgTk+cXjgORJibs=">AAACA3icdVDLSsNAFJ34rPUVdaebwVZwUUpSEF3WunFZwT6gCeVmOmmHTiZhZiKUUHDjr7hxoYhbf8Kdf+P0Ifg8cOFwzr3ce0+QcKa047xbC4tLyyurubX8+sbm1ra9s9tUcSoJbZCYx7IdgKKcCdrQTHPaTiSFKOC0FQwvJn7rhkrFYnGtRwn1I+gLFjIC2khde7/oAU8GUPICqgF7TGAvOy/VvHGxaxeccuXEMcC/iVt2piigOepd+83rxSSNqNCEg1Id10m0n4HUjHA6znupogmQIfRpx1ABEVV+Nv1hjI+M0sNhLE0Jjafq14kMIqVGUWA6I9AD9dObiH95nVSHZ37GRJJqKshsUZhyrGM8CQT3mKRE85EhQCQzt2IyAAlEm9jyJoTPT/H/pFkpu07ZvaoUqrV5HDl0gA7RMXLRKaqiS1RHDUTQLbpHj+jJurMerGfrZda6YM1n9tA3WK8f5lSWYg==</latexit> <latexit 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sha1_base64="42A1VWtdp3b9Q54+0Hj2O/tY0d8=">AAACCHicdZDLSgMxFIYzXmu9jbp0YbAVXA0zBdFNodWNywr2Ap2hZNJMG5pkhiQjlKFLN76KGxeKuPUR3Pk2ptMKXn8IfPznHE7OHyaMKu2679bC4tLyymphrbi+sbm1be/stlScSkyaOGax7IRIEUYFaWqqGekkkiAeMtIORxfTevuGSEVjca3HCQk4GggaUYy0sXr2QdkniaLMcFavT6q+ogOOcoZV6JV7dsl1KieuEfwNnuPmKoG5Gj37ze/HOOVEaMyQUl3PTXSQIakpZmRS9FNFEoRHaEC6BgXiRAVZfsgEHhmnD6NYmic0zN2vExniSo15aDo50kP1szY1/6p1Ux2dBRkVSaqJwLNFUcqgjuE0FdinkmDNxgYQltT8FeIhkghrk13RhPB5KfwfWhXHcx3vqlKqnc/jKIB9cAiOgQdOQQ1cggZoAgxuwT14BE/WnfVgPVsvs9YFaz6zB77Jev0A8quYnA==</latexit> Lz Hot and Cold region (each Lz/10) thermostated locally using Langevin thermostat
15. Imposing Gradient : Steady State Response Supercooled liquid: T > Tg THot = Tm + 0.025 TCold = Tm - 0.025 Heat Current Profile Concentration Profile Response in glassy- regime: Finite heat transport No large-scale mass transport => No Soret effect Temperature Profile Soret Coefficient ST = D0 D = 1 c1c2 rc1 rT
16. Heating-cooling Experiments AG DG BG Lz https://www.trumpf.com/en_US/applications/laser-welding/ Laser welding T > Tg BG tage DG AG <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> t1 <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> t2 T < Tg T < Tg
17. Heating-cooling Experiments History dependent concentration inhomogeneity AG DG BG Lz https://www.trumpf.com/en_US/applications/laser-welding/ Laser welding T > Tg BG tage DG AG <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> t1 <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> <latexit sha1_base64="zz21L9RixGJZE6S/Smx6MJRMarw=">AAAB8HicbVA9TwJBEJ3DL8Qv1NJmI5hYkTsaLUmksMREQAMXsrfMwYa9vcvungm58CtsLDTG1p9j579xgSsUfMkkL+/NZGZekAiujet+O4WNza3tneJuaW//4PCofHzS0XGqGLZZLGL1EFCNgktsG24EPiQKaRQI7AaTm7nffUKleSzvzTRBP6IjyUPOqLHSY7XfRGEoqQ7KFbfmLkDWiZeTCuRoDcpf/WHM0gilYYJq3fPcxPgZVYYzgbNSP9WYUDahI+xZKmmE2s8WB8/IhVWGJIyVLWnIQv09kdFI62kU2M6ImrFe9ebif14vNeG1n3GZpAYlWy4KU0FMTObfkyFXyIyYWkKZ4vZWwsZUUWZsRiUbgrf68jrp1GueW/Pu6pVGM4+jCGdwDpfgwRU04BZa0AYGETzDK7w5ynlx3p2PZWvByWdO4Q+czx9y0Y+C</latexit> t2 T < Tg T < Tg
18. Summary Studied the thermal response of glass-forming material in supercooled and glassy regime Supercooled regime: Thermal transport and mass transport coupled Glassy regime: Mass transport suppressed Heating-cooling experiments: Designing material with specified compositional inhomogeneity THot TCold
19. Pinaki Chaudhuri The Institute of Mathematical Sciences, Chennai Jürgen Horbach Heinrich-Heine-Universität Düsseldorf Summary Studied the thermal response of glass-forming material in supercooled and glassy regime Supercooled regime: Thermal transport and mass transport coupled Glassy regime: Mass transport suppressed Heating-cooling experiments: Designing material with specified compositional inhomogeneity THot TCold
20. Pinaki Chaudhuri The Institute of Mathematical Sciences, Chennai Jürgen Horbach Heinrich-Heine-Universität Düsseldorf Summary ThankYou Studied the thermal response of glass-forming material in supercooled and glassy regime Supercooled regime: Thermal transport and mass transport coupled Glassy regime: Mass transport suppressed Heating-cooling experiments: Designing material with specified compositional inhomogeneity THot TCold