Get Maxwell Thermodynamic Relations

curl --request POST \
  --url https://finceptbackend.share.zrok.io/quantlib/physics/thermodynamics/maxwell-relations \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '{}'

{
  "success": true,
  "data": {
    "maxwell_relations": [
      "(∂T/∂V)_S = -(∂P/∂S)_V",
      "(∂T/∂P)_S = (∂V/∂S)_P",
      "(∂S/∂V)_T = (∂P/∂T)_V",
      "(∂S/∂P)_T = -(∂V/∂T)_P"
    ]
  }
}

quantlib-physics

Get Maxwell Thermodynamic Relations

Returns the four Maxwell relations, which are equalities between partial derivatives of thermodynamic potentials. These relations follow from the equality of mixed partial derivatives and connect different thermodynamic properties. Maxwell relations are fundamental in thermodynamics and have analogs in economic and financial theory.

Use Cases:

Understand relationships between market variables
Economic duality and reciprocity relations
Theoretical constraints on model parameters
Thermodynamic analogies in market microstructure
Educational and reference purposes

Maxwell Relations:

(∂T/∂V)_S = -(∂P/∂S)_V
(∂T/∂P)_S = (∂V/∂S)_P
(∂S/∂V)_T = (∂P/∂T)_V
(∂S/∂P)_T = -(∂V/∂T)_P

Credits: 5 credits per request (Pro Tier)

POST

quantlib

physics

thermodynamics

maxwell-relations

Get Maxwell Thermodynamic Relations

curl --request POST \
  --url https://finceptbackend.share.zrok.io/quantlib/physics/thermodynamics/maxwell-relations \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '{}'

{
  "success": true,
  "data": {
    "maxwell_relations": [
      "(∂T/∂V)_S = -(∂P/∂S)_V",
      "(∂T/∂P)_S = (∂V/∂S)_P",
      "(∂S/∂V)_T = (∂P/∂T)_V",
      "(∂S/∂P)_T = -(∂V/∂T)_P"
    ]
  }
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://finceptbackend.share.zrok.io/auth/register

Body

application/json

The body is of type object.

Response

Maxwell relations returned successfully

success

boolean

Example:

true

data

object

Show child attributes

Calculate Van der Waals Gas Properties

Calculate Ideal Gas Thermodynamic Properties

⌘I

Free Tier

Basic Tier

Standard Tier

Pro Tier

Get Maxwell Thermodynamic Relations

Authorizations

Body

Response