# Non-equilibrium thermodynamics from First Principles

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• user warning: Table 'cache_filter' is marked as crashed and should be repaired query: UPDATE cache_filter SET data = '<p>&nbsp;</p>\n<h1 class=\"rtecenter\" style=\"font-variant-ligatures: normal; orphans: 2; widows: 2;\">Non-equilibrium thermodynamics from First Principles</h1>\n<p class=\"rtecenter\" style=\"font-size: 12.16px; font-variant-ligatures: normal; orphans: 2; widows: 2;\"><a href=\"http://users.wpi.edu/~achatterjee3/\">Atanu Chatterjee</a></p>\n<h2 style=\"font-variant-ligatures: normal; orphans: 2; widows: 2;\">Abstract:</h2>\n<div style=\"font-size: 12.16px; font-variant-ligatures: normal; orphans: 2; widows: 2;\"><span class=\"s1\" style=\"font-kerning: none;\">In this talk I present a fundamental first principles approach to undestand non-equilibrium phenomena and the onset of complexity in nature. &nbsp;I begin the talk by putting forward a simple observation, the analogous of the Principle of Equivalence in Thermodynamics. &nbsp;I probe this by laying out an equivalent field-theoretic approach to classical thermodynamics. &nbsp;The central core of this idea is to identify a thermodynamically open system as a scalar field over a symplectic energy manifold. &nbsp;Once the Lagrangian density is defined in terms of thermodynamic state variables, the Euler-Lagrange equations yield the steady-state energy conservation law. &nbsp;The salient feature of this formulation is the emergence of the spatial and temporal derivatives of these state variables as non-equilibrium corrections to the First Law of Thermodynamics. &nbsp;I thus put forward a generalized First Law equation, whcih has a virial-like expansion of the state variables and their higher-order spatial and temporal derivatives. &nbsp;Moreover, the generalized First Law hints at the presence of a pair of constants, that corresponds to characteristic time and length scales for physical systems at various orders of complexity.&nbsp;</span></div>\n<p>&nbsp;</p>\n', created = 1638617148, expire = 1638703548, headers = '', serialized = 0 WHERE cid = '2:b35162bd7461b8785c37a246a77fbbad' in /home2/secrecco/www/includes/cache.inc on line 109.

# Non-equilibrium thermodynamics from First Principles

Atanu Chatterjee

## Abstract:

In this talk I present a fundamental first principles approach to undestand non-equilibrium phenomena and the onset of complexity in nature.  I begin the talk by putting forward a simple observation, the analogous of the Principle of Equivalence in Thermodynamics.  I probe this by laying out an equivalent field-theoretic approach to classical thermodynamics.  The central core of this idea is to identify a thermodynamically open system as a scalar field over a symplectic energy manifold.  Once the Lagrangian density is defined in terms of thermodynamic state variables, the Euler-Lagrange equations yield the steady-state energy conservation law.  The salient feature of this formulation is the emergence of the spatial and temporal derivatives of these state variables as non-equilibrium corrections to the First Law of Thermodynamics.  I thus put forward a generalized First Law equation, whcih has a virial-like expansion of the state variables and their higher-order spatial and temporal derivatives.  Moreover, the generalized First Law hints at the presence of a pair of constants, that corresponds to characteristic time and length scales for physical systems at various orders of complexity.